Advances in anisotropy and formability

International Journal of Material Forming

Volumn 3, Issue 3, 2010, Pages 165-189

  Banabic, Dorel ^a   Barlat, Frédéric ^b   Cazacu, Oana ^c   Kuwabara, Toshihiko ^d  

^a TECHNICAL UNIVERSITY OF CLUJ NAPOCA   (Romania)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

^c UNIVERSITY OF FLORIDA   (United States)

^d TOKYO UNIVERSITY OF AGRICULTURE AND TECHNOLOGY   (Japan)

Author keywords

Anisotropy; Biaxial tensile tests; Forming limit diagrams; Strain rate potentials; Yield criteria

Indexed keywords

BIAXIAL LOADING; BIAXIAL TENSILE TESTS; CLASSICAL MODEL; CLOSE PACKED; EXPERIMENTAL METHODS; FORMING LIMIT CURVE; FORMING LIMIT DIAGRAMS; LIMIT STRAINS; METALLIC SHEETS; PLASTIC BEHAVIOR; STRAIN RATE POTENTIALS; TENSOR REPRESENTATION; YIELD CRITERIA;

ANISOTROPY; FORMING; LINEAR TRANSFORMATIONS; SINGLE CRYSTALS; TENSILE TESTING;

STRAIN RATE;

EID: 78651571800     PISSN: 19606206     EISSN: 19606214     Source Type: Journal    
DOI: 10.1007/s12289-010-0992-9     Document Type: Review

References (318)

1. Abedrabbo N, Pourboghrat F, Carsley J (2006) Forming of aluminum alloys at elevated temperatures. Int J Plast 22: 314-373.
2. Ahmadi S, Eivani AR, Akbarzadeh A (2009) An experimental and theoretical study on the prediction of Forming Limit Diagrams using new BBC yield criteria and M-K analysis. Comput Mater Sci 44: 1272-1280.
3. Allwood JM, Shouler DR, Tekkaya AE (2007) The increased forming limits of incremental sheet forming processes. Key Eng Mat 344: 621-628.
4. Allwood JM, Shouler DR (2008) Generalised forming limit diagrams showing increased forming limits with non-planar stress states. Int J Plast 25: 1207-1230.
5. Aretz H (2004) Numerical restrictions of the modified maximum force criterion for prediction of forming limits in sheet metal forming. Model Simulat Mater Sci Eng 12: 677-692.
6. Aretz H (2006) Impact of the equibiaxial plastic strain ratio on the FLD prediction. In: Juster N, Rosochowski A (eds.), Proc. 9th ESAFORM Conference on Material Forming. Glasgow, April 2006. AKAPIT, Krakow, 311-314.
7. Arminjon M, Imbault D, Bacroix B, Raphanel JL (1994) 1994: A fourth-order plastic potential for anisotropic metals and its analytical calculation from the texture function. Acta Mech 107: 33-51.
8. Arrieux R, Bedrin C, Boivin M (1982) Determination of an intrinsec Forming Limit Stress Diagram for isotropic sheets. In: Proc. of the 12th IDDRG Congress. S-ta Margerita Ligure, 61-71.
9. Arrieux R, Bedrin C, Boivin M (1985) Determination of the strain path influence of the forming limit diagrams, from the limit stress curve. Annals of the CIRP 34: 205-208.
10. Arrieux R (1987) Determination of the Forming Limit Stress Curve for Anisotropic Sheets. Annals of the CIRP 36: 195-198.
11. Asaro RJ, Needleman A (1985) Texture development and strain hardening in rate-dependent polycrystals. Acta Metall 33: 923-953.
12. Banabic D (1999) Limit strains in the sheet metals by using the 1993 Hill's yield criterion. J Mater Process Tech 92-93: 429-432.
13. Banabic D, Comsa DS, Balan T (2000) A new yield criterion for orthotropic sheet metals under plane-stress conditions. In: Banabic D (ed) Proc. of the 7th Conf. TPR2000. Cluj Napoca, 217-224.
14. Banabic D (2000) Anisotropy of Sheet Metals. In: Banabic D (ed) Formability of metallic materials. Springer-Verlag, Berlin, pp 119-172.
15. Banabic D (2000) Forming Limits of Sheet Metals. In: Banabic D (ed) Formability of metallic materials. Springer-Verlag, Berlin, pp 173-215.
16. Banabic D (2000) Theoretical models of the FLD's. In: Banabic D (ed) Formability of metallic materials. Springer-Verlag, Berlin, pp 317-327.
17. Banabic D, Dannenmann E (2001) The influence of the yield locus shape on the limits strains. J Mater Process Tech 109: 9-12.
18. Banabic D, Kuwabara T, Balan T, Comsa DS, Julean D (2003) Non-quadratic yield criterion for orthotropic sheet metals under plane-stress conditions. Int J Mech Sci 45: 797-811.
19. Banabic D et al (2004) FLD theoretical model using a new anisotropic yield criterion. J Mater Process Tech 157-158: 23-27.
20. Banabic D (2004) Anisotropy and formability of AA5182-0 aluminium alloy sheets. Annales of CIRP 53: 219-222.
21. Banabic D, et al. (2004) Prediction of FLC from two anisotropic constitutive models. In: Stören S (ed) Proc. 7th ESAFORM Conference on Material Forming. Trondheim, 455-459.
22. Banabic D, Aretz H, Comsa DS, Paraianu L (2005) An improved analytical description of orthotropy in metallic sheets. Int J Plast 21: 493-512.
23. Banabic D, Aretz H, Paraianu L, Jurco P (2005) Application of various FLD modelling approaches. J Model Simulat Mater Sci Eng 13: 759-769.
24. Banabic D, Cazacu O, Paraianu L, Jurco P (2005) Recent developments in the formability of aluminum alloys. In: Smith LM, Pourboghrat F, Yoon J-W, StoughtonTB (eds) Proc. of the NUMISHEET 2005 Conference. AIP 466-472.
25. Banabic D (2006) Numerical prediction of FLC using the M-K-Model combined with advanced material models. In: Hora P (ed) Numerical and experimental methods in prediction of forming limits in sheet forming and tube hydroforming processes. ETH Zürich, Zürich, pp 37-42.
26. Banabic D, Vos M (2007) Increasing the robustness in the simulation of sheet metal forming processes using a new concept-Forming Limit Band. Annales of CIRP 56: 249-252.
27. Banabic D, Barlat F, Cazacu O, Kuwabara T (2007) Anisotropy and formability. In: Chinesta F, Cueto E (eds) Advances in material forming-ESAFORM 10 years on. Springer, Heidelberg-Berlin, pp 143-173.
28. Banabic D, Soare S (2008) On the effect of the normal pressure upon the forming limit strains. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 199-204.
29. Banabic D, Soare S (2009) Assessment of the modified maximum force criterion for aluminum metallic sheets. Key Eng Mat 410-411: 511-520.
30. Banabic D et al (2010) Sheet metal forming processes. Springer, Heidelberg.
31. Barata da Rocha A, Jalinier JM (1984) Plastic instability of sheet metals under simple and complex strain path. Trans Iron Steel Inst Jpn 24: 133-140.
32. Barata da Rocha A, Barlat F, Jalinier JM (1985) Prediction of the forming limit diagrams of anisotropic sheets in linear and non-linear loading. Mater Sci Eng 68: 151-164.
33. Barlat F, Richmond O (1985) Prediction of tricomponent plane stress yield surfaces and associated flow and failure behavior of strongly textured FCC sheets. Mater Sci Eng 95: 15-29.
34. Barlat F (1987) Crystallographic texture, anisotropic yield surfaces and forming limits of sheet metals. Mater Sci Eng 91: 55-72.
35. Barlat F, Lian J (1989) Plastic Behavior and Stretchability of Sheet Metals. Part I: yield function for orthotropic sheets under plane stress conditions. Int J Plast 5: 51-66.
36. Barlat F, Lege DJ, Brem JC (1991) A six-component yield function for anisotropic materials. Int J Plast 7: 693-712.
37. Barlat F, Chung K (1993) Anisotropic potentials for plastically deforming. Metals, Model Simul Mater Sci Eng 1: 403-416.
38. Barlat F, Becker RC, Hayashida Y, Maeda Y, Yanagawa M, Chung K, Brem JC, Lege DJ, Matsui K, Murtha SJ, Hattori S (1997) Yielding description of solution strengthened aluminum alloys. Int J Plast 13: 185-401.
39. Barlat F, Maeda Y, Chung K, Yanagawa M, Brem JC, Hayashida Y, Lege DJ, Matsui K, Murtha SJ, Hattori S, Becker RC, Makosey S (1997) Yield function development for aluminum alloy sheets. J Mech Phys Solid 45: 1727-1763.
40. Barlat F, Brem JC, Yoon JW, Chung K, Dick RE, Lege DJ, Pourboghrat F, Choi S-H, Chu E (2003) Plane stress yield function for aluminum alloy sheet-Part I: Theory. Int J Plast 19: 1297-1319.
41. Barlat F, Cazacu O, Zyczowski M, Banabic D, Yoon JW (2004) Yield surface plasticity and anisotropy. In: Raabe D, Roters F, Barlat F, Chen L-Q (eds) Continuum scale simulation of engineering materials-fundamentals-microstructures-process applications. WileyVCH Verlag, Manheim, pp 145-177.
42. Barlat F (2005) Constitutive modeling for metals. In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca April 2005. The Publishing House of the Romanian Academy, Bucharest, 3-10.
43. Barlat F, Chung K (2005) Anisotropic strain rate potential for aluminum alloy plasticity. In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca April 2005. The Publishing House of the Romanian Academy, Bucharest, 415-418.
44. Barlat F, Aretz H, Yoon JW, Karabin ME, Brem JC, Dick RE (2005) Linear transformation-based anisotropic yield functions. Int J Plast 21: 1009-1039.
45. Barlat F (2007) Constitutive modeling for metals. In: Banabic D (ed) Advanced methods in material forming. Springer-Verlag, Berlin, pp 5-25.
46. Barlat F, Yoon JW, Cazacu O (2007) On linear transformations of stress tensors for the description of plastic anisotropy. Int J Plast 23: 876-896.
47. Bate P (1984) The prediction of limit strains in steel sheet using a discrete slip plasticity model. Int J Mech Sci 26: 373-384.
48. Bell JF (1984) The Experimental Foundations of Solid Mechanics. In: Truesdell C (ed) Mechanics of Solids, vol I. Springer-Verlag, Berlin.
49. Berstad T et al. (2004) FEM and a microstructure based work-hardening model used to calculate FLCs. In: Stören S (ed) Proc. 7th ESAFORM Conference on Material Forming. Trondheim, 131-134.
50. Boehler JP, Demmerle S, Koss S (1984) A new direct biaxial testing machine for anisotropic materials. Exp Mech 34: 1-9.
51. Boger RK, Wagoner RH, Barlat F, Lee MG, Chung K (2005) Continuous, large strain, tension/compression testing of sheet material. Int J Plast 21: 2319-2343.
52. Borsutzki M, Keßler L, Sonne H-M (2002) Kennzeichnung des Verfestigungsverhaltens von Werkstoffen mit der Biaxialprüfung. In: Werkstoffprüfung 2002, Proc. DVM-Conference, Bad Nauheim, 186 (in German).
53. Boudeau N, Gelin JC, Salhi S (1998) Computational prediction of the localized necking in sheet forming based on microstructural material aspects. Comput Mater Sci 11: 45-64.
54. Boudeau N, Gelin JC (2000) Necking in sheet metal forming. Influence of macroscopic and microscopic properties of materials. Int J Mech Sci 42: 2209-2232.
55. Bragard A, Baret JC, Bonnarens H (1972) A simplified technique to determine the FLD at onset of necking. CRM 33: 53-63.
56. Bressan JD, Williams JA (1983) The use of a shear instability criterion to predict local necking in sheet metal deformation. Int J Mech Sci 25: 155-168.
57. Bron F, Besson J (2003) A yield function for anisotropic materials. Application to aluminum alloys. Int J Plast 20: 937-963.
58. Brunet M, Morestin F (2001) Experimental and analytical necking studies of anisotropic sheet metals. J Mater Process Tech 112: 214-226.
59. Brunet M, Morestin F, Walter H (2001) Damage modeling in sheet metals forming processes with experimental validations. In: Habraken AM (ed) Proc. 4th ESAFORM Conference on Material Forming. Liege, 209-212.
60. Brunet M, Morestin F, Walter H (2002) Anisotropic ductile fracture in sheet metal forming processes using damage theory. In: Pietrzyk M, Mitura Z, Kaczmat J (eds) Proc. 5th ESAFORM Conference on Material Forming. Krakow, 135-138.
61. Brunet M, Morestin F, Walter-Laberre H (2005) Failure analysis of anisotropic sheet metals using a non-local plastic damage model. J Mater Process Tech 170: 457-470.
62. Brunet M, Clerc P (2007) Two prediction methods for ductile sheet metal failure, In: Proc. 10th ESAFORM Conference on Material Forming, Zaragoza, 297-302.
63. Butuc C et al (2002) A more general model for FLD prediction. J Mater Process Tech 125-126: 213-218.
64. Butuc C, et al. (2002) Influence of constitutive equations and strain-path change on the forming limit diagram for 5182 Aluminum Alloy. In: Pietrzyk M, Mitura Z, Kaczmat J (eds) Proc. 5th ESAFORM Conference on Material Forming, Krakow, 715-719.
65. Butuc C, Gracio JJ, Barata da Rocha A (2003) A theoretical study on forming limit diagrams prediction. J Mater Process Tech 142: 714-724.
66. Butuc C, Gracio JJ, Barata da Rocha A (2005) Application of the YLD 96 yield criterion on describing the anisotropy and formability of the BCC materials. In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca April 2005. The Publishing House of the Romanian Academy, Bucharest, 391-394.
67. Butuc C et al (2006) An experimental and theoretical analysis on the application of stress-based forming limit criterion. Int J Mech Sci 48: 414-429.
68. Cao J et al (2000) Prediction of localized thinning in sheet metal using a general anisotropic yield criterion. Int J Plast 16: 1105-1129.
69. Cao V, Lee W, Cheng HS, Seniw M, Wang H-P, Chung K (2009) Experimental and numerical investigation of combined isotropic-kinematic hardening behavior of sheet metals. Int J Plast 25: 942-972.
70. Carleer B, Sigvant M (2006) Process scatter with respect to material scatter. In: Liewald M (ed) New developments in sheet metal forming. Institute for Metal Forming Technology, University of Stuttgart, 225-239.
71. Cazacu O, Barlat F (2001) Generalization of Drucker's yield criterion to orthotropy. Math Mech Solid 6: 613-630.
72. Cazacu O, Barlat F (2003) Application of representation theory to describe yielding of anisotropic aluminum alloys. Int J Eng Sci 41: 1367-1385.
73. Cazacu O, Barlat F (2004) A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. Int J Plast 20: 2027-2045.
74. Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal close packed metals. Int J Plast 22: 1171-1194.
75. Cazacu O, Barlat F (2008) Modeling plastic anisotropy and strength differential effects in metallic materials. In: Cazacu O (ed) Multiscale modeling of heterogeneous materials: from microstructure to macroscale properties. ISTE Ltd and John Wiley & Sons, Inc, 71-91.
76. Cazacu O, Ionescu IR, Yoon JW (2009) Orthotropic strain rate potential for description of anisotropy in tension and compression of metals. Int. J. Plast. http://dx. doi. org/10. 1016/j. ijplas. 2009. 11. 005.
77. Chan KC, Tong GQ (2003) Formability of high-strain-rate superplastic Al-4. 4Cu-1. 5Mg/21SiCW, composite under biaxial tension. Mater Sci Eng A340: 49-57.
78. Chow CL et al (1997) A unified damage approach for predicting FLDs. Trans ASME, J Eng Mater Tech 119: 346-353.
79. Chow CL, Yang XJ (2001) Prediction of the FLD on the basis of the damage criterion under non-proportional loading. Proc Inst Mech Eng 215C: 405-414.
80. Chow CL et al (2001) Prediction of FLD for AL6111-T4 under non-proportional loading. Int J Mech Sci 43: 471-486.
81. Chung K, Yoon JW, Richmond O (2000) Ideal sheet forming with frictional constraints. Int J Plast 16: 595-610.
82. Comsa DS, Banabic D (2010) An improved version of the Modified Maximum Force Criterion (MMFC).
83. Dell H, Gese H, Oberhofer G (2008) Advanced yield loci and anisotropic hardening in the material model MF GENYLD + CRACHFEM. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 49-54.
84. Demmerle S, Boehler JP (1983) Optimal design of biaxial tensile cruciform specimens. J Mech Phys Solid 41: 143-181.
85. d'Hayer R, Bragard A (1975) Determination of the limiting strains at the onset of necking. CRM 42: 33-35.
86. Drucker DC (1949) Relation of experiments to mathematical theories of plasticity. J Appl Mech 16: 349-357.
87. Dudzinski D, Molinari A (1988) Instability of visco-plastic deformation in biaxial loading. CR Acad Sci Paris 307: 1315-1321.
88. Eberle B, VolkW, Hora P (2008) Experimental FLC with a full 2D approach based on a time depending method. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 279-284.
89. Evangelista SH et al (2002) Implementing a modified Marciniak-Kuczynki model using the FEM for the simulation of sheet metal deep drawing. J Mater Process Tech 130-131: 135-144.
90. Eyckens P, van Bael A, van Houtte P (2008) An extended Marciniak-Kuczynski forming limit model to assess the influence of Through-Thickness Shear on formability. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf. Interlaken, Switzerland, pp 193-198.
91. Eyckens P, van Bael A, van Houtte P (2009) Marciniak-Kuczynski type modelling of the effect of Through-Thickness Shear on the forming limits of sheet metal. Int J Plast 25, (in press).
92. Feldmann P, Schatz M (2006) Effective evaluation of FLC-tests with the optical in-process strain analysis system AUTOGRID. In: Hora P (ed) Numerical and experimental methods in prediction of forming limits in sheet forming and tube hydroforming processes. ETH Zürich, Zürich, pp 69-73.
93. Feldmann P (2007) Application of starin analysis system AUTOGRID for evaluation of formability tests and for strain analysis on deformed parts. In: Tisza M (ed) Proc. of the IDDRG 2007 Conference, Gyor, 483-490.
94. Ferron G, Makinde AJ (1988) Design and development of a biaxial strength testing device. J Test Eval 16: 253-256.
95. Fjeldbo SK, et al. (2005) A numerical study on the onset of plastic instability in extruded materials with strong through-thickness texture variation. In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca April 2005. The Publishing House of the Romanian Academy, Bucharest, 209-213.
96. Foecke T, Iadicola MA, Lin A, Banovic SW (2007) A method for direct measurement of multiaxial stress-strain curves in sheet metal. Metal Mater Trans A 38A: 306-313.
97. Fortunier R (1989) Dual potentials and extremum work principles in single crystal plasticity. J Mech Phys Solid 37: 779-790.
98. Friebe H et al (2006) FLC determination and forming analysis by optical measurement system. In: Hora P (ed) Numerical and experimental methods in prediction of forming limits in sheet forming and tube hydroforming processes. ETH Zürich, Zürich, pp 74-81.
99. Fyllingen O et al (2009) Estimation of forming limit diagrams by the use of the finite element method and Monte Carlo simulation. Comput Struct 87: 128-139.
100. Ganjiani M, Assempour A (2007) An improved analytical approach for determination of FLD considering the effects of yield functions. J Mater Process Tech 182: 598-607.
101. Ganjiani M, Assempour A (2007) The performance of Karafillis-Boyce yield function on determination of forming limit diagrams. IJE Transactions A: Basics 20: 55-66.
102. Ganjiani M, Assempour A (2008) Implementation of a robust algorithm for prediction of forming limit diagrams. J Mater Eng Perform 17: 1-6.
103. Gänser HP, Werner EA, Fisher FD (2000) FLDs: a micromechanical approach. Int J Mech Sci 42: 2041-2054.
104. Gese H, Dell H (2006) Numerical prediction of FLC with the program CRACH. In: Hora P (ed) Numerical and experimental methods in prediction of forming limits in sheet forming and tube hydroforming processes. ETH Zürich, Zürich, pp 43-49.
105. Gologanu M et al (1997) Recent extension of Gurson's model for porous ductile metals. In: Suquet P (ed) Continuum micromechanics. Springer-Verlag, Berlin, pp 61-130.
106. Gologranc F (1975) Gerät zur kontinuierlichen aufnahme von fließkurven an blechwerkstoffen im hydraulischen tiefungsversuch. Ind Anz 97: 937-938.
107. Gotoh M, Chung T, Iwata N (1995) Effect of out-of-plane stress on the forming limit strains of sheet metals. JSME Int J 38: 123-132.
108. Graff S, Brocks W, Steglich D (2007) Yielding of magnesium: from single crystals to polycrystalline aggregates. Int J Plast 23: 1957-1978.
109. Gronostajski J (1985) Application of limit stresses to determine limit strains at complex strain paths. Archiwum Hutnictwa 30: 41-56.
110. G'sell C, Boni S, Shrivastava S (1983) Application of the plane simple shear test for determination of the plastic behaviour of solid polymers at large strains. J Mater Sci 18: 903-918.
111. Haddag B, Abed-Meraim F, Balan T (2008) Strain localization and damage prediction during sheet metal forming. In: P (ed) Proc. 11th ESAFORM Conference on Material Forming. Lyon.
112. Han HN, Kim KH (2003) A ductile fracture criterion in sheet metal forming process. J Mater Process Tech 142: 231-238.
113. Hannon A, Tiernan AP (2008) A review of planar biaxial tensile test. J Mater Process Tech 98: 1-13.
114. Hashiguchi K, Protasov A (2004) Localized necking analysis by the subloading surface model with tangential-strain rate and anisotropy. Int J Plast 20: 1909-1930.
115. Hecker SS (1972) A simple forming limit curve technique and results on aluminum alloys. In: proc. of the IDDRG Congress, Amsterdam, 5. 1-5. 8.
116. Hecker SS (1976) Experimental studies of yield phenomena in biaxially loaded metals. In: Stricklin JA, Saczalski KH (eds) Constitutive equations in viscoplasticity: computational and engineering aspects. ASME, New York, pp 1-33.
117. Hershey AV (1954) The plasticity of an isotropic aggregate of anisotropic face centred cubic crystals. J Appl Mech 21: 241-249.
118. Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc Roy Soc Lond A193: 281-297.
119. Hill R (1952) On discontinous plastic states, with special reference to localized necking in thin sheets. J Mech Phys Sol 1: 19-30.
120. Hill R (1979) Theoretical plasticity of textured aggregates. Math Proc Cambridge Philos Soc 85: 179-191.
121. Hill R (1987) Constitutive dual potential in classical plasticity. J Mech Phys Solid 35: 23-33.
122. Hill R (1990) Constitutive modelling of orthotropic plasticity in sheet metals. J Mech Phys Solid 38: 405-417.
123. Hill R (1993) A user-friendly theory of orthotropic plasticity in sheet metals. Int J Mech Sci 35: 19-25.
124. Hill R, Hecker SS, Stout MG (1994) An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load. Int J Solids Struct 31: 2999-3021.
125. Hiroi T, Nishimura H (1997) The influence of surface defects on the forming-limit diagram of sheet metal. J Mater Process Tech 72: 102-109.
126. Hiwatashi S, van Bael A, van Houtte P, Teodosiu C (1998) Prediction of the forming limit strains under strain-path changes: application of an anisotropic model based on texture and dislocation structure. Int J Plast 14: 647-669.
127. Hjelm HE (1994) Yield surface for gray cast iron under biaxial stress. Trans ASME J Eng Mat Tech 116: 148-154.
128. Hoferlin E, van Bael A, van Houtte P, Steyaert G, De Maré C (2000) The design of a biaxial tensile test and its use for the validation of crystallographic yield loci. Model Simulat Mater Sci Eng 8: 423-433.
129. Hopperstad OS et al. (2006) A preliminary numerical study on the influence of PLC on the formability of aluminium alloys. In: Juster N, Rosochowski A (eds) Proc. 9th ESAFORM Conference on Material Forming. Glasgow, April 2006. AKAPIT, Krakow, 315-318.
130. Hora P, Tong L (1994) Prediction methods for ductile sheet metal failure using FE-simulation. In: Proc. of the IDDRG Congress. Lisbon, 363-375.
131. Hora P, Tong L, Reissner J (1996) A prediction method for ductile sheet metal failure. In: Lee JK, Kinzel, GL, Wagoner RH (eds) Proc. of the NUMISHEET 1996 Conference, Dearborn, 252-256.
132. Hora P, Krauer J (eds) (2006) Numerical and experimental methods in prediction of forming limits in sheet metal forming and tube hydroforming processes. FLC-Zürich 06 Conference, Zürich.
133. Hora P, et al. (2007) Numerical and experimental evaluation of thermal dependent FLC. In: Tisza M (ed) Proc. of the IDDRG 2007 Conference, Gyor, 23-30.
134. Hora P, Tong L (2008) Theoretical prediction of the influence of curvature and thickness on the FLC by the enhanced modified maximum force criterion. In: Hora, P. (ed.): Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland 205-210.
135. Horstemeyer MF, Chiesa ML, Bamman DJ (1994) Predicting FLDs with explicit and implicit FE codes. In: Proc. SAE Conference, Detroit, 481-495.
136. Hosford WF (1966) Texture strengthening. Metals Eng Quarterly 6: 13-19.
137. Hosford WF (1972) A generalized isotropic yield criterion. J Appl Mech Trans ASME 39: 607-609.
138. Hosford WF (1979) On yield loci of anisotropic cubic metals. In: Proceedings 7th North American Metalworking Conference, SME, Dearborn MI, 191-197.
139. Hosford WF (1985) Comments on anisotropic yield criteria. Int J Mech Sci 27: 423-427.
140. Hosford WF, Allen TJ (1973) Twining and directional slip as a cause for strength differential effect. Met Trans 4: 1424-1425.
141. Hotz W (2006) European efforts in standardization of FLC. In: Hora P (ed) Numerical and experimental methods in prediction of forming limits in sheet forming and tube hydroforming processes. ETH Zürich, Zürich, pp 24-25.
142. Hotz W, Timm J (2008) Experimental determination of Forming Limit Curves (FLC). In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 271-278.
143. Hu Z, Rauch EF, Teodosiu C (1992) Work hardening behavior of mild steel under stress reversal at large strains. Int J Plast 8: 839-856.
144. Hu JG et al (1998) Influence of damage and texture evolution on limit strain in biaxially stretched aluminium alloy sheets. Mater Sci Eng A251: 243-250.
145. Huang HM, Pan J, Tang SC (2000) Failure prediction in anisotropic sheet metals under forming operations with consideration of rotating principal stretch directions. Int J Plast 16: 611-633.
146. Iadicola M, Foecke T, Ma L (2009) Method for local measurement of stress and strain in a formed part under load. In: Levy BS, Matlock DK, van Tyne CJ (eds) Proc. Of the IDDRG 2009 Conf., Golden, Colorado, 85-96.
147. Ikegami K (1979) Experimental plasticity on the anisotropy of metals. In: Boehler JP (ed) Mechanical behavior of anisotropic solids. Proceedings of the Euromech Colloquim 115, Colloques Inter. du CNRS, Paris, 201-242.
148. Inal K, Neale KW, Aboutajeddine A (2005) Forming limit comparisons for FCC and BCC sheets. Int J Plast 21: 1255-1266.
149. Ishiki M, Kuwabara T, Yamaguchi M, Maeda Y, Hayashida Y (2008) Differential work hardening behavior of pure titanium sheet under biaxial loading: In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 161-166.
150. ISO 12004 (2006) Metallic materials-sheet and strip-Determination of the forming limit curves.
151. Iwata N, Matsui M, Kato T, Kaneko K, Tsutamori H, Suzuki N, Gotoh M (2001) Numerical prediction of spring-back behavior of a stamped metal sheet by considering material nonlinearity during unloading. In: Mori K (ed) Proc. 7th Int. Conf. Numerical Methods in Industrial Forming Processes, Balkema, 693.
152. Jackson K, Allwood J (2009) The mechanics of incremental sheet forming. J Mater Process Tech 209: 1158-1174.
153. Janssens K, Lambert F, Vanrostenberghe S, Vermeulen M (2001) Statistical evaluation of the uncertainty of experimentally characterised forming limits of sheet steel. J Mater Process Tech 112: 174-184.
154. Jeswiet J, Young D (2005) Forming limit diagrams for single-point incremental forming of aluminium sheet. Proc IMechE: J Eng Manufact Part B 219: 1-6.
155. Jie M, Cheng CH, Chan LC, Chow CL (2009) Forming limit diagrams of strain-rate-dependent sheet metals. Int J Mech Sci 51: 269-275.
156. John Neil C, Agnew SR (2009) Crystal plasticity-based forming limit prediction for non-cubic metals: Application to Mg alloy AZ31B. Int J Plast 25: 379-398.
157. Johnson W, Duncan JL (1965) The use of the biaxial test extensometer. Sheet Met Ind 42: 271-275.
158. Jurco P, Banabic D (2005) A user-frienldy programme for calculating forming limit diagrams. In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca April 2005. The Publishing House of the Romanian Academy, Bucharest, 423-427.
159. Karafillis AP, Boyce MC (1993) A general anisotropic yield criterion using bounds and a transformation weighting tensor. J Mech Phys Solid 41: 1859-1886.
160. Karthik V et al (2002) Variability of sheet formability and formability testing. J Mater Process Tech 121: 350-362.
161. Keeler SP (1970) La formabilité est améliorée par pression hydrostatique. Machine Moderne, 43-45.
162. Keller S, Hotz W, Friebe H, Klein M (2009) Yield curve determination using the bulge test combined with optical measurement. In: Levy BS, Matlock DK, van Tyne CJ (eds) Proc. of the IDDRG 2009 Conf. Golden, Colorado, 319-330.
163. Khan AS, Kazmi R, Farroch B (2007) Multiaxial and non-proportional loading responses, anisotropy and modeling of Ti-6Al-4V titanium alloy over wide ranges of strain rates and temperatures. Int J Plast 23: 931-950.
164. Kim D, Barlat F, Bouvier S, Rabahallah M, Balan T, Chung K (2007) Non-quadratic anisotropic potential based on linear transformation of plastic strain rate. Int J Plast 23: 1380-1399.
165. Kim JH, Lee M-G, Barlat F, Wagoner RH, Chung K (2008) An elasto-plastic constitutive model with plastic strain rate potentials for anisotropic cubic metals. Int J Plast 24: 2298-2334.
166. Kim KJ et al (2003) Formability of AA5182/polypropilylene/AA5182 sandwich sheets. J Mater Process Tech 139: 1-7.
167. Kim D, et al. (2008) Formulation of forming limit diagram for sandwich sheet with anisotropic strain-rate potential. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 337-342.
168. Kim J, Kang B-S, Lee JK (2009) Statistical evaluation of forming limit in hydroforming process using plastic instability combined with FORM. Int J Adv Manuf Tech 42: 53-59.
169. Knockaert R et al (2000) Forming limits prediction using rate-independent polycrystalline plasticity. Int J Plast 16: 179-198.
170. Kobayashi T, Ishigaki H, Tadayuki A (1972) Effect of strain ratios on the deforming limit of steel sheet and its application to the actual press forming. In: Proc. of the IDDRG Congress, Amsterdam, 8. 1-8. 4.
171. Korkolis YP, Kyriakides S (2008) Inflation and burst of anisotropic aluminum tubes for hydroforming applications. Int J Plast 24: 509-543.
172. Krauer J, Hora P, Tong L (2008) Temperature dependent forming limit prediction for metastable stainless steels. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 235-240.
173. Kreißig R, Schindler J (1986) Some experimental results on yield condition in plane stress state. Acta Mech 65: 169-179.
174. Kuroda M, Tvergaard V (1999) Use of abrupt strain path change for determining subsequent yield surface: illustrations of basic idea. Acta Mater 47: 3879-3890.
175. Kuroda M, Tvergaard V (2000) FLD for anisotropic metal sheets with different yield criteria. Int J Solids Struct 37: 5037-5059.
176. Kuroda M, Tvergaard V (2000) Effect of strain path change on limits to ductility pf anisotropic metal sheets. Int J Mech Sci 42: 867-887.
177. Kuroda M (2005) Effects of texture on mechanical properties of aluminium alloys sheets and texture optimization strategy. In: Smith LM, Pourboghrat F, Yoon J-W, Stoughton TB (eds) Proc. of the NUMISHEET 2005 Conf. AIP, 445-450.
178. Kuwabara T, Ikeda S, Kuroda T (1998) Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension. J Mater Process Tech 80-81: 517-523.
179. Kuwabara T, Kuroda M, Tvergaard V, Nomura K (2000) Use of abrupt strain path change for determining subsequent yield surface: experimental study with metal sheets. Acta Mater 48: 2071-2079.
180. Kuwabara T, Nagata K, Nakako T (2001) Measurement and analysis of the Bauschinger effect of sheet metals subjected to in-plane stress reversals. In: Torralba JM (ed) Proc. AMPT '01, Univ. Carlos III de Madrid, Madrid, 407.
181. Kuwabara T, van Bael A, Iizuka E (2002) Measurement and analysis of yield locus and work hardening characteristics of steel sheets with different R-values. Acta Mater 50: 3717-3729.
182. Kuwabara T, Ishiki M, Kuroda M, Takahashi S (2003) Yield locus and work-hardening behavior of a thin-walled steel tube subjected to combined tension-internal pressure. Journal de Physique IV 105: 347-354.
183. Kuwabara T, Umemura M, Yoshida K, Kuroda M, Hirano S (2005) Forming limits of 5000 series aluminum alloys with different magnesium contents. In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca April 2005. The Publishing House of the Romanian Academy, Bucharest, 399-402.
184. Kuwabara T, Yoshida K, Narihara K, Takahashi S (2005) Anisotropic plastic deformation of extruded aluminum alloy tube under axial forces and internal pressure. Int J Plast 21: 101-117.
185. Kuwabara T (2007) Advances in experiments on metal sheets and tubes in support of constitutive modeling and forming simulations. Int J Plast 23: 385-419.
186. Kuwabara T, Horiuchi Y, Uema N, Ziegelheimova J (2008) Material testing method of applying in-plane combined tension-compression stresses to sheet specimen. In: Asnafi (ed) Proc. of the IDDRG 2008 Conf. Olofstrom, Sweden, 163-171.
187. Kuwabara T, Kumano Y, Ziegelheim J, Kurosaki I (2009) Tension-compression asymmetry of phosphor bronze for electronic parts and its effect on bending behavior. Int J Plast 25: 1759-1776.
188. Lademo OG, Berstad T, Hopperstad OS, Pedersen KO (2004) A numerical tool for formability analysis of aluminium alloys. Steel Grips 2 (2004) Suppl. Metal Forming 2004, Krakow, 427-437.
189. Lademo OG et al (2005) Prediction of plastic instability in extruded aluminium alloys using shell analysis and a coupled model of elasto-plasticity and damage. J Mater Process Tech 166: 247-255.
190. Lebensohn RA, Tomé CN (1993) A selfconsistent approach for the simulation of plastic deformation and texture development of polycrystals: application to Zirconium alloys. Acta Metallurgica et Materialia 41: 2611-2624.
191. Lee D, Backofen WA (1966) An experimental determination of the yield locus for titanium and titanium-alloy sheet. Trans TMS-AIME 236: 1077-1084.
192. Lee WB, Tai WH, Tang CY (1997) Damage evolution and forming limit predictions of an AA2024-T3 aluminium alloy. J Mater Process Tech 63: 100-104.
193. Lemaitre J (ed.) (2001) Continuous damage. In: Handbook of Materials Behavior Models, Academic Press, San Diego, CA, 411-793.
194. Leppin C, Li J, Daniel D (2008) Application of a method to correct the effect of non-proportional strain paths on Nakajima test based Forming Limit Curves. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 217-221.
195. Lewison DJ, Lee D (1999) Determination of forming limits by digital image processing methods. In: Proceedings of International Body Engineering Conference and Exposition (IBEC), Detroit (MI), (Paper 01-3168).
196. Li S, Hoferlin E, van Bael A, van Houtte P (2001) Application of a texture-based plastic potential in earing prediction of an IF steel. Adv. Eng. Materials, 990-994.
197. Liebertz H, et al. (2004) Guideline for the determination of forming limit curves. In: Proc. of the IDDRG Conference, Sindelfilgen, 216-224.
198. Lin SB, Ding JL (1995) Experimental study of the plastic yielding of rolled sheet metals with the cruciform plate specimen. Int J Plast 11: 583-604.
199. Liu C, Huang Y, Stout MG (1997) On the asymmetric yield surface of plastically orthotropic materials: a phenomenological study. Acta Mater 45: 2397-2406.
200. Logan RW, Hosford WF (1980) Upper-bound anisotropic yield locus calculations assuming pencil glide. Int J Mech Sci 22: 419-430.
201. Lou XY, Li M, Boger RK, Agnew SR, Wagoner RH (2007) Hardening evolution of AZ31B Mg sheet. Int J Plast 23: 44-86.
202. Lowden MAW, Hutchinson WB (1975) Texture strengthening and strength differential in titanium-6A-4V. Metall Trans 6A: 441-448.
203. Makinde A, Thibodeau L, Neale KW (1992) Development of an apparatus for biaxial testing using cruciform specimens. Exp Mech 32: 138-144.
204. Maeda Y, Yanagawa M, Barlat F, Chung K, Hayashida Y, Hattori S, Matsui K, Brem JC, Lege DJ, Murtha SJ, Ishikawa T (1998) Experimental analysis of aluminum yield surface for binary Al-Mg alloy sheet samples. Int J Plast 14: 301-318.
205. Marciniak Z, Kuczynski K (1967) Limit strains in the processes of stretch forming sheet metal. Int J Mech Sci 9: 609-620.
206. Marron G, et al. (1997) A new necking criterion for the forming limit diagrams, IDDRG 1997 WG Meeting, Haugesund.
207. Matin PH, Smith LM (2005) Practical limitations to the influence of through-thickness normal stress on sheet metal formability. Int J Plast 21: 671-690.
208. Mattiasson K, Sigvant M, Larsson M (2007) On the prediction of plastic instability in metal sheets, In: César de Sá JMA, Santos, AD (eds) Proc. NUMIFORM'07 Conference 908, 129-135.
209. Mattiasson K, Sigvant M, Larsson M (2007) Theoretical and experimental sheet metal failure evaluation. In: Tisza M (ed) Proc. of the IDDRG 2007 Conference, Gyor, 185-194.
210. Mattiasson K, Sigvant M, Larsson M (2008) On the role of strain rate in finite element simulations of sheet forming processes. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf. (Part B. Benchmark study), Interlaken, Switzerland, 223-228.
211. Mattiasson K, Sigvant M (2008) An evaluation of some recent yield criteria for industrial simulations of sheet forming processes. Int J Mech Sci 50: 774-787.
212. McDowell DL (2000) Modeling and experiments in plasticity. Int J Solids Struct 37: 293-309.
213. McGinty R, McDowell DL (2004) Application of multiscale crystal plasticity models to FLD. TransASME, J Eng Mater Techn 126: 285-291.
214. Mellor PB (1981) Sheet metal forming. Int Met Rev 1: 1-20.
215. Mellor PB, Parmar A (1978) Plasticity analysis of sheet metal forming. In: Koistinen DP, Wang NM (eds) Mechanics of sheet metal forming. Plenum, New York, pp 53-74.
216. Methods of determining the forming limit curve. IDDRG Meeting, Zurich (1983).
217. Michno MJ Jr, Findley WN (1976) An historical perspective of yield surface investigations for metals. Int J Non Lin Mech 11: 59-82.
218. Miyauchi K (1984) Bauschinger effect in planar shear deformation of sheet metals. In: Advanced Technology of Plasticity, Proc. 1st Int. Conf. Technology of Plasticity, The Japan Society for Technology of Plasticity, Tokyo, 623.
219. Mohr D, Oswald M (2008) A new experimental technique for the multi-axial testing of advanced high strength steel sheets. Exp Mech 48: 65-77.
220. Moondra S, Kinsey BL (2004) Determination of cruciform specimen for stress based failure criterion evaluation. Trans. NAMRI/SME, 247-254.
221. Müller W, Pöhlandt KJ (1996) New experiments for determining yield loci of sheet metal. J Mater Process Tech 60: 643-648.
222. Naka T, Nakayama Y, Uemori T, Hino R, Yoshida F (2004) Effect of strain-rate and temperature on yield locus for 5083 aluminum alloy sheet. Key Engineering Materials 274-276: 937-942.
223. Nakazima K, Kikuma T, Hasuka K (1971) Study on the formability of steel sheets. Yawata Tech Rep No 284: 678-680.
224. Nandedkar VM, Narashimhan K (1999) Prediction of forming limits incorporating work-hardening behavior. In: Gelin JC, Picart P (eds) Proc. of the NUMISHEET 1999 Conference, Besancon, 437-442.
225. Narashimhan K, Wagoner RH (1991) Finite element modeling simulation of in-plane FLD of sheets containing finite defects. Metall Trans 22A: 2655-2665.
226. Nixon ME, Cazacu O, Lebensohn RA (2010) Anisotropic response of high-purity α-titanium: Experimental characterization and constitutive modeling. Int J Plast 26: 510-532.
227. Paraianu L, Banabic D (2005) Calculation of forming limit diagrams using a finite element model. In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca, April 2005. The Publishing House of the Romanian Academy, Bucharest, 419-423.
228. Paraianu L, Comsa DS, Gracio JJ, Banabic D (2006) Influence of yield locus and strain-rate sensitivity on the Forming Limit Diagrams. In: Juster N, Rosochowski A (eds) Proc. 9th ESAFORM Conference on Material Forming, Glasgow, April 2006, The Publishing House AKAPIT, Krakow, 343-346.
229. Parsa MH, Ettehad M, NasherAl Ahkami S (2009) FLD determination of al 3105/polypropylene/Al 3105 sandwich sheet using numerical calculation and experimental investigations. In: van den Boogart T, Akkerman R (eds) Proc. of the 12th ESAFORM Conference on Material Forming, Enshede.
230. Petek A, Kuzman K (2007) The determination of the FLD for conventional and single point incremental sheet metal forming. In: Tisza M (ed) Proc. of the IDDRG 2007 Conference, Gyor, 249-256.
231. Phillips A (1986) A review of quasistatic experimental plasticity and viscoplasticity. Int J Plast 2: 315-328.
232. Plunkett B, Lebensohn RA, Cazacu O, Barlat F (2006) Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening. Acta Mater 54: 4159-4169.
233. Plunkett B, Cazacu O, Barlat F (2008) Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals. Int J Plast 24: 847-866.
234. Plunkett B, Cazacu O (2008) Viscoplastic modeling of anisotropic textured metals. In: Multiscale modeling of heterogeneous materials: from microstructure to macroscale properties. In: Cazacu O (ed) ISTE Ltd and John Wiley & Sons, Inc, 71-91.
235. Plunkett B, Cazacu O, Lebensohn RA, Barlat F (2008) Elastic-viscoplastic anisotropic constitutive modeling of textured metals and validation using the Taylor cylinder impact test. Int. J. Plast, 1001-1021.
236. Rabahallah M, Balan T, Bouvier S, Bacroix B, Barlat F, Chung K, Teodosiu C (2009) Parameter identification of advanced plastic strain rate potentials and impact on plastic anisotropy prediction. Int J Plast 25: 491-512.
237. Rabahallah M, Balan T, Bouvier S, Teodosiu C (2009) Time-integration for elasto-plastic models based on anisotropic strain rate potentials. Int J Numer Meth Eng 80: 381-402.
238. Rajarajan G, et al. (2005) Validation of the non-linear strain-path model CRACH to enhance the interpretation of FE simulations in multistage forming operations, In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca, April 2005. The Publishing House of the Romanian Academy, Bucharest, 387-390.
239. Ragab AR, Saleh C (2000) Effect of void growth on the predicting forming limit strains for planar isotropic sheet metals. Mech Mater 32: 71-84.
240. Ragab AR, Saleh C, Zaafarani NN (2002) Forming limit diagrams for kinematically hardened voided sheet metals. J Mater Process Tech 128: 302-312.
241. Ranta-Eskola AJ (1979) Use of the hydraulic bulge test in biaxial tensile testing. Int J Mech Sci 21: 457-465.
242. Rechberger F, Till ET (2004) Influence of scatter of materials properties on the formability of parts. In: Kergen R (ed) Forming the future, Proc. IDDRG 2004 Conference, Sindelfingen, 236-245.
243. Savoie J et al (1998) Prediction of the FLD using crystal plasticity model. Mater Sci Eng A257: 128-133.
244. Shakeri M, Sadough A, Dariani BM (2000) Effect of pre-straining and grain size on the limit strains in sheet metal forming. Proc Inst Mech Eng 214B: 821-827.
245. Schatz M, Keller S, Feldmann P (2005) Experimental determination of the FLD for sheet thickness from 2. 5 to 5. 0 mm (in German). UTF Science III, 1-8.
246. Shim MS, Park JJ (2001) The formabiltiy of aluminium sheet in incremental forming. J Mater Process Tech 113: 654-658.
247. Signorelli JW, Bertinetti MA, Turner PA (2009) Predictions of forming limit diagrams using a rate-dependent polycrystal self-consistent plasticity model. Int J Plast 25: 1-25.
248. Signorelli JW, Bertinetti MA (2009) On the role of constitutive model in the forming limit of FCC sheet metal with cube orientations. Int J Mech Sci 51: 473-480.
249. Simha CHM, Gholipour J, Bardelcik A, Worswick MJ (2007) Prediction of necking in tubular hydroforming using an extended stress-based FLC. ASME J Eng Mater Technol 129: 136-47.
250. Simha CHM, Grantab R, Worswick MJ (2007) Computational analysis of stress-based forming limit curves. Int J Solids Struct 44: 8663-8684.
251. Shiratori E, Ikegami K (1968) Experimental study of the subsequent yield surface by using cross-shaped specimens. J Mech Phys Solid 16: 373-394.
252. Smith LM et al (2003) Influence of transverse normal stress on sheet metal formability. Int J Plast 19: 1567-1583.
253. Soare S, Yoon J., Cazacu O (2007) On using homogeneous polynomials to design anisotropic yield functions with tension/compression symmetry/asymmetry. In: Cesar de Sa, JMA, Santos AD (eds) Materials processing and design: modeling, simulation and Applications. Proc. of the NUMIFORM 2007 Conf., Porto, 607-612.
254. Soare S, Banabic D (2008) Application of a polynomial yield function to the predictions of limit strains. Steel Res Int 79: 39-46.
255. Soare S, Banabic D (2009) A discussion upon the sensitivity of the MK model to input data. Int. Journal Material Forming. 2, (doi: 10. 1007/s12289-008-0347-y).
256. Spitzig WA, Richmond O (1984) The effect of pressure on the flow stress of metals. Acta Metall 32: 457-463.
257. Stout MG, Kocks UF (1998) Effects of Texture on Plasticity. In: Kocks UF, Tomé CN, Wenk H-R (eds) Texture and anisotropy. Cambridge University Press, Cambridge, pp 420-465.
258. Stoughton TB (2000) A general forming limit criterion for sheet metal forming. Int J Mech Sci 42: 1-27.
259. Stoughton TB, Zhu X (2004) Review of theoretical models of the strain-based FLD and their relevance to the stress-based FLD. Int J Plast 20: 1463-1486.
260. Stoughton TB, Yoon JW (2005) Sheet metal formability analysis for anisotropic materials under non-proportional loading. Int J Mech Sci 47: 1972-2002.
261. Stoughton TB (2008) Generalized metal failure criterion. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf. (Part B. Benchmark study), Interlaken, Switzerland, 241-246.
262. Stören S, Rice JR (1975) Localized necking in thin sheets. J Mech Phys Solid 23: 421-441.
263. Strano M, Colosimo BM (2006) Logistic regression analysis for experimental determination of forming limit diagrams. Int J Mach Tool Manufact 46: 673-682.
264. Strano M, Colosimo BM (2006) Ordinal logistic regression analysis for statistical determination of forming limit diagrams. In: Juster N, Rosochowski A (eds) Proc. 9th ESAFORM Conference on Material Forming, Glasgow, April 2006, The Publishing House AKAPIT, Krakow, 303-306.
265. Swift HW (1952) Plastic instability under plane stress. J Mech Phys Sol 1: 1-16.
266. Szczepiński W (ed) (1990) Experimental methods in mechanics of solids. Elsevier, Amsterdam.
267. Tai WH, Lee WB (1996) Finite element simulation of in plane forming processes of sheets containing plastic damage. In: Lee JK, Kinzel GL, Wagoner RH (eds) Proc. of the NUMISHEET 1996 Conference, Dearborn, 257-261.
268. Takashina K et al (1968) Relation between the manufacturing conditions and the average strain according to the scribed circle tests in steel sheets. La Metallurgia Italiana 8: 757-765.
269. Teixeira P, et al. (2006) Finite element prediction of fracture onset in sheet metal forming using a ductile damage model. In: Proc. of the IDDRG 2006 Conference, Porto, 239-245.
270. Teodosiu C, Hu H (1995) Microstructure in the continuum modeling of plastic anisotropy. In: Shen S, Dawson PR (eds) Proc. of the Conference, NUMIFORM'95 on Simulation of Materials Processing, Theory, Methods and Applications, Balkema, Rotterdam, 173.
271. Thoors H, et al. (2008) FLD assessment using the proposed new standard. IDDRG 2008 International Conference, Olofström, Sweden, 25-35.
272. Tozawa Y (1978) Plastic deformation behavior under conditions of combined stress. In: Koistinen DP, Wang N-M (eds) Mechanics of sheet metal forming. Plenum, New York, pp 81-110.
273. van der Boogaard AH, Huetink J (2003) Prediction of sheet necking with shell finite element models. In: Brucato V (ed) Proc. 6th ESAFORM Conference on Material Forming, Salerno, April 2003, Nuova Ipsa Editore, Palermo, 191-194.
274. van Bael A, van Houtte P (2002) Convex fourth and sixth-order plastic potentials derived form crystallographic texture. In: Cescotto S (ed) Proceedings of the 6th European Mechanics of Materials Conference (EMMC6), University of Liege, Liege, Belgium, 51-58.
275. van Houtte P, Toth LS (1993) Generalization of the Marciniak-Kuczynski defect model for predicting FLD. In: Lee WB (ed) Advances in engineering plasticity and its application. Elsevier, Amsterdam, pp 1013-1020.
276. van Houtte P (1994) Application of plastic potentials to strain rate sensitive and insensitive anisotropic materials. Int J Plast 10: 719-748.
277. van Houtte P (2001) Yield loci based on crystallographic texture. In: Lemaitre J (ed) Handbook of materials behavior models. Academic, San Diego, pp 137-154.
278. van Houtte P (2005) Anisotropy and formability in sheet metal drawing, In: Banabic D (ed) Proc. 8th ESAFORM Conference on Material Forming. Cluj-Napoca, April 2005. The Publishing House of the Romanian Academy, Bucharest, 339-342.
279. van Minh H, Sowerby R, Duncan JL (1973) Variability of forming limit curves. Int J Mech Sci 16: 31-44.
280. van Riel M, van den Boogaard AH (2008) A strain path change indicator for use in sheet metal forming processes. Proc IDDRG 2008: 279-290.
281. Veerman C, et al. (1971) Determination of appearing and admissible strains in cold-reduced sheets. Sheet Metal Industries, 687-694.
282. Vegter H, An Y, Pijlman HH, Huetink J (1999) Different approaches to describe the plastic material behaviour of steel and aluminium-alloys in sheet forming. In: Covas JA (ed) Proc. of the 2nd ESAFORM Conference on Material Forming. Guimaraes, 127-132.
283. Vegter H, van den Boogaard AH (2006) A plane stress yield function for anisotropic sheet material by interpolation of biaxial stress states. Int J Plast 22: 557-580.
284. Vegter H, ten Horn CHLJ, Abspoel M (2008) Modeling of the Forming Limit Curve by MK Analysis and FE simulations. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf. (Part B. Bechmark study), Interlaken, Switzerland, 187-192.
285. Viatkina, E. M. et al.: Forming Limit Diagrams for sheet deformation process: a crystal plasticity approach. In: Habraken AM (ed) Proc. of the 4nd ESAFORM Conference on Material Forming, Liege (2001) 465-468.
286. Vitek V, Mrovec M, Bassani JL (2004) Influence of non-glide stresses on plastic flow: from atomistic to continuum modeling. Mater Sci Eng A 365: 31-37.
287. Volk W (2006) New experimental and numerical approach in the evaluation of the FLD with the FE-method. In: Hora P (ed) Numerical and experimental methods in prediction of forming limits in sheet forming and tube hydroforming processes. ETH, Zürich, pp 26-30.
288. Volk W, et al. (2008) Benchmark 1 virtual forming limit curves. Part A. Physical tryout report. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf. (Part B. Bechmark study), Interlaken, Switzerland, 3-9.
289. Volk W, et al. (2008) Benchmark 1 virtual forming limit curves. Part B. Benchmark analysis. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf. (Part B. Bechmark study), Interlaken, Switzerland, 11-42.
290. Vos M, Banabic D (2007) The forming limit band-a new tool for increasing the robustness in the simulation of sheet metal forming processes. Proc. of the IDDRG 2007 Conference, Gyor, 165-176.
291. Wagoner RH, Chan KS, Keeler SP (eds) (1989) Forming limit diagrams: concepts, methods, and applications. TMS, Warrendale.
292. Weinmann KJ, Rosenberger AH, Sanchez LR (1988) The Bauschinger effect of sheet metal under cyclic reverse pure bending. Ann CIRP 37: 289-293.
293. Wu PD, Neale KW, van der Giessen E (1997) On crystal plasticity FLD analysis. Proc R Soc Lond 453: 1831-1848.
294. Wu PD et al (1998) Crystal plasticity FLD analysis of rolled aluminium sheets. Metall Trans 29A: 527-535.
295. Wu PD, MacEwen SR, Lloyd DJ, Neale KW (2004) A mesoscopic approach for predicting sheet metal formability. Model Simulat Mater Sci Eng 12: 511-527.
296. Wu PD, Graf A, MacEwen SR, Lloyd DJ, Jain M, Neale KW (2005) On forming limit stress diagram analysis. Int J Solids Struct 42: 2225-2241.
297. Wu PD, Lloyd DJ, Jain M, Neale KW, Huang Y (2007) Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking. Int J Plast 23: 1084-1104.
298. Wu PD et al (2008) Effects of superimposed hydrostatic pressure on sheet metal formability. Int J Plast 25: 1711-1725.
299. Xu Y (206) Modern formability: measurement, analysis and applications. Hanser Gardner Publications.
300. Yao H, Cao J (2002) Prediction of FLC using an anisotropic yield function with prestrain induced prestress. Int J Plast 18: 1013-1038.
301. Young RF, Bird JE, Duncan JL (1981) An automated hydraulic bulge tester. J Appl Metalwork 2: 11-18.
302. Yoon JW, Song IS, Yang DY, Chung K, Barlat F (1995) Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system. Int J Mech Sci 37(1995): 733-752.
303. Yoon JW, Barlat F, Dick RE, Chung K, Kang TJ (2004) Plane stress yield function for aluminum alloy sheets-Part II: FE formulation and its implementation. Int J Plast 20: 495-522.
304. Yoon JW, Barlat F, Dick RE, Karabin ME (2006) Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function. Int J Plast 22: 174-193.
305. Yoon JW, Barlat F (2006) Modeling and simulation of the forming of aluminium sheet alloys. In: Semiatin SL (ed) ASM handbook, Vol 14B, Metalworking: sheet forming. ASM International, Materials Park, pp 792-826.
306. Yoshida F, Urabe M, Toropov VV (1998) Identification of material parameters in constitutive model for sheet metals from cyclic bending tests. Int J Mech Sci 40: 237-249.
307. Yoshida F, Uemori T, Fujiwara K (2002) Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain. Int J Plast 18: 633-659.
308. Yoshida K, Kuwabara T, Narihara K, Takahashi S (2005) Experimental verification of the path-independence of forming limit stresses. Int J Form Process 8(SI): 283-298.
309. Yoshida K, Kuwabara T, Kuroda M (2007) Path-dependence of the forming limit stresses in a sheet metal. Int J Plast 23: 361-384.
310. Yoshida K, Kuwabara T (2007) Effect of strain hardening behavior on forming limit stresses of steel tube subjected to non-proportional loading paths. Int J Plast 23: 1260-1284.
311. Yu MH (2002) Advances in strength theories for materials under complex stress state in the 20th Century. Appl Mech Rev 55: 198-218.
312. Yu Y, Wan M, Wu X-D, Zhou X-B (2002) Design of a cruciform biaxial tensile specimen for limit strain analysis by FEM. J Mater Process Tech 123: 67-70.
313. Zhang C, et al. (2008) Theoretical and numerical study of strain rate sensitivity on formability of sheet metal. In: Hora P (ed) Proc. of the NUMISHEET 2008 Conf., Interlaken, Switzerland, 229-233.
314. Zhou D, Wagoner RH (1991) Use of arbitrary yield function in FEM. In: Boehler JP, Khan AS (eds) Anisotropy and localization of plastic deformation. Elsevier, Amsterdam, pp 688-691.
315. Zhou Y, Neale KW (1995) Predictions of FLD using a rate sensitive crystal plasticity model. Int J Mech Sci 37: 1-20.
316. Ziegler H (1977) An introduction to thermodynamics. North-Holland, Amsterdam.
317. Życzkowski M (1981) Combined loadings in the theory of plasticity. Polish Scientific, Warsaw.
318. Życzkowski M (2001) Anisotropic yield condition. In: Lemaitre J (ed) Handbook of materials behaviour models. Academic, San Diego, pp 155-165.