Evaluation of identification methods for YLD2004-18p

International Journal of Plasticity

Volumn 24, Issue 12, 2008, Pages 2248-2277

  Grytten, F ^a   Holmedal, B ^a   Hopperstad, O S ^a   Borvik T ^a,b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b NORWEGIAN DEFENCE RESEARCH ESTABLISHMENT FFI   (Norway)

Author keywords

A. Yield condition; Aluminium alloy; B. Anisotropic materials; C. Finite elements; C. Mechanical testing

Indexed keywords

ABS RESINS; ANISOTROPY; CONSTITUTIVE MODELS; CURVE FITTING; ELASTICITY; LEAST SQUARES APPROXIMATIONS; PLASTICITY; PLASTICS; TENSILE TESTING;

A. YIELD CONDITION; ALUMINIUM ALLOY; B. ANISOTROPIC MATERIALS; C. FINITE ELEMENTS; C. MECHANICAL TESTING;

FINITE ELEMENT METHOD;

EID: 51349147703     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.11.005     Document Type: Article

References (51)

1. Asaro R.J., and Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metall. 33 (1985) 923-953
2. Barlat F., and Lian J. Plastic behaviour and stretchability of sheet metals. Part I: a yield function for orthotropic sheets under plane stress conditions. Int. J. Plasticity 5 (1989) 51-66
3. Barlat F., Lege D.J., and Brem J.C. A six-component yield function for anisotropic materials. Int. J. Plasticity 7 (1991) 693-712
4. Barlat F., Becker R.C., Hayashida Y., Maeda Y., Yanagawa M., Chung K., Brem J.C., Lege D.J., Matsui K., Murtha S.J., and Hattori S. Yielding description for solution strengthened aluminum alloys. Int. J. Plasticity 13 (1997) 385-401
5. Barlat F., Maeda Y., Chung K., Yanagava M., Berm J.C., Hayashida Y., Lege D.J., Matsui K., Murtha S.J., Hattori S., Becker R.C., and Makosey S. Yield function development for aluminium alloy sheets. J. Mech. Phys. Solids 45 (1997) 1727-1763
6. Barlat F., Brem J.C., Yoon J.W., Chung K., Dick R.E., Lege D.J., Pourboghrat F., Choi S.H., and Chu E. Plane stress yield function for aluminium alloy sheets-part I: theory. Int. J. Plasticity 19 (2003) 1297-1319
7. Barlat F., Ferreira Duarte J.M., Gracio J.J., Lopes A.B., and Rauch E.F. Plastic flow for non-monotonic loading conditions of an aluminium alloy sheet sample. Int. J. Plasticity 19 (2003) 1215-1244
8. Barlat F., Aretz H., Yoon J.W., Karabin M.E., Brem J.C., and Dick R.E. Linear transformation-based anisotropic yield functions. Int. J. Plasticity 21 (2005) 1009-1039
9. Barlat F., Yoon J.W., and Cazacu O. On linear transformations of stress tensors for the description of plastic anisotropy. Int. J. Plasticity 23 (2007) 876-896
10. Belytschko T., Liu W.K., and Moran B. Nonlinear Finite Elements for Continua and Structures (2000), Wiley. 0-471-98774-3
11. Benallal A., Berstad T., Børvik T., Clausen AH., and Hopperstad OS. Dynamic strain aging and related instabilities: experimental, theoretical and numerical aspects. Eur. J. Mech. A/Solids 25 3 (2006) 397-424
12. Besnard G., Hild F., and Roux S. "Finite-Element" displacement fields analysis from digital images: application to Portevin-Le Câtelier bands. Exp. Mech. 46 (2006) 789-803
13. Bishop J.F.W., and Hill R. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Philos. Mag. 42 (1951) 414-427
14. Bishop J.F.W., and Hill R. A theoretical derivation of the plastic properties of a face-centred metal. Philos. Mag. 42 (1951) 1298-1307
15. Bridgman PW. Studies in Large Plastic Flow and Fracture (1964), Harvard University Press, Cambridge
16. Børvik T., Hopperstad O.S., Berstad T., and Langseth M. A computational model of viscoplasticity and ductile damage for impact and penetration. Eur. J. Mech. A/Solids 20 (2001) 685-712
17. Børvik T., Clausen A.H., Hopperstad O., and Langseth M. Perforation of AA5083-H116 aluminium plates with conical-nose steel projectiles-experimental study. Int. J. Impact Eng. 30 4 (2004) 367-384
18. Choi S.-H., and Barlat F. Prediction of macroscopic anisotropy in rolled aluminum-lithium sheet. Scripta Mater. 41 9 (1999) 981-987
19. Choi S.-H., Brem J.C., Barlat F., and Oh K.H. Macroscopic anisotropy in AA5019A sheets. Acta Mater. 48 (2000) 1853-1863
20. Clausen AH., Børvik T., Hopperstad OS., and Benallal A. Flow and fracture characteristics of aluminium alloy AA5083-H116 as function of strain rate, temperature and triaxiality. Mat. Sci. Eng. A 365 (2004) 260-272
21. Cottrell A.H. A note on the Portevin-Le Chatelier effect. Philos. Mag. (seventh series) 44 335 (1953) 829-832
22. Delannay L., Kalidindi S.R., and Van Houtte P. Quantitative prediction of textures in aluminium cold rolled to moderate strains. Mater. Sci. Eng. A 336 (2002) 233-244
23. Eriksson, M., Lademo, O.-G., Hopperstad, O.S., 2006. Development and use of in-plane shear tests to identify ductile failure parameters of aluminium alloys. In: Proceedings of the 9th International Conference on Material Forming, ESAFOM 2006, Glasgow, UK, pp. 331-334.
24. Hatch JE. Aluminium: properties and physical metallurgy. Am. Soc. Metals (1984) 353-357
25. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proc. Royal Soc. London A 193 (1948) 281
26. Hosford W.F. A generalized isotropic yield criterion. J. Appl. Mech. Trans. ASME 39 (1972) 607-609
27. Hosford, W.F., 1979. On yield loci of anisotropic cubic metals. In: Proceedings of the Seventh North American Metalworking Conference, Dearborn, pp. 191-197.
28. Hosford W.F. The Mechanics of Crystals and Textured Polycrystals (1993), Oxford Science Publications
29. Kalidindi S.R., Bronkhorst C.A., and Anand L. Crystallographic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids 40 (1992) 537-569
30. Karafillis A.P., and Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41 (1993) 1859-1886
31. Kocks U.F., Tomé C.N., and Wenk H.-R. Texture and Anisotropy: Preferred Orientations in Polycrystals and their Effect on Materials Properties (1998), Cambridge University Press. 0-521-79420-X
32. Leqeue P.H., Gilormini P., Montheillet F., Bacroix B., and Jonas J.J. Yield surfaces for textured polycrystals -I. Crystallographic approach. Acta Mater. 35 (1987) 439-451
33. Lemaitre J., and Chaboche J.L. Mechanics of Solid Materials (1990), Cambridge University Press
34. Li S., Engler O., and Van Houtte P. Plastic anisotropy and texture evolution during tensile testing of extruded aluminium profiles. Modell. Simulat. Mater. Sci. Eng. 13 (2005) 783-795
35. Livermore Software Technology Corporation (LSTC), 2007. LS-DYNA Keyword User's Manual, Version 971.
36. McCormick P.G. Theory of flow localisation due to dynamic strain ageing. Acta Metal. 36 12 (1988) 3061-3067
37. Mesarovic S.DJ. Dynamic strain aging and plastic instabilities. J. Mech. Phys. Solids 43 5 (1995) 671-700
38. Rizzi E., and Hähner P. On the Portevin-Le Chatelier effect: theoretical modeling and numerical results. Int. J. Plasticity 20 (2004) 121-165
39. Søvik, O.P, 1996. Numerical modelling of ductile fracture - a damage mechanics approach. Dr. ing. thesis 1996:78. Department of Machine Design and Materials Technology, Norwegian University of Science and Technology, Trondheim, Norway, ISBN 82-7119-968-4.
40. Taylor G.I. Plastic strain in metals. J. Inst. Metals 62 (1938) 307-324
41. Tresca H. Sur l'écoulement des corps solides soumis à des portes pressions. Comp. Rend. Acad. Sci. Paris 59 (1864) 754
42. Van den Beukel A. Theory of effect of dynamic strain aging on mechanical-properties. Phys. Status Solidi (A) 30 (1975) 197
43. Van Houtte P. A comprehensive mathematical formulation of an extended Taylor-Bishop-Hill model featuring relaxed constraints, the Renouard-Wintenberger theory and a strain rate sensitivity model. Textures Microstruct. 8-9 (1988) 313-350
44. Van Houtte P., Li S., Seefeldt M., and Delannay L. Deformation texture predictions: from the Taylor model to the advance Lamel model. Int. J. Plasticity 21 (2005) 589-624
45. Van Houtte P., Kanjarla A.K., Van Bael A., Seefeldt M., and Delannay L. Multiscale modeling of the plastic anisotropy and deformation texture of polycrystalline materials. Eur. J. Mech. A/Solids 25 (2006) 634-648
46. Von Mises, R., 1913. Mechanik der festen Körper im plastisch-deformablen Zustand. In: Nachr, Königl. Ges. Wiss. Göttingen, Math.-Phys. Kl., pp. 582-593.
47. Wenk H.-R., and van Houtte P. Texture and anisotropy. Rep. Prog. Phys. 67 (2004) 1367-1428
48. Yoon J.W., Barlat F., Chung K., Pourboghrat F., and Yang D.Y. Influence of initial back stress on the earing prediction of drawn cups for planar anisotropic aluminium sheets. J. Mater. Proc. Tech. 80-81 (1998) 433-437
49. Yoon J.W., Barlat F., Chung K., Pourboghrat F., and Yang D.Y. Earing predictions based on asymmetric nonquadratic yield function. Int. J. Plasticity 16 (2000) 1075-1104
50. Yoon J.W., Barlat F., Dick R.E., Chung K., and Kang T.J. Plane stress yield function for aluminium alloy sheets-part II: FE formulation and its implementation. Int. J. Plasticity 20 (2004) 495-522
51. Yoon J.W., Barlat F., Dick R.E., and Karabin M.E. Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function. Int. J. Plasticity 22 (2006) 174-193