3.05 - Nonlinear Finite Element Analysis and Applications to Welded Structures

Comprehensive Structural Integrity

Volumn 3, Issue , 2003, Pages 255-320

  Runesson, K ^a   Skyttebol, A ^a   Lindgren, L E ^b  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; NUMERICAL METHODS;

NON-LINEAR FINITE-ELEMENT ANALYSIS; WELDED STRUCTURES;

WELDING;

EID: 84903430937     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B0-08-043749-4/03044-5     Document Type: Chapter

References (200)

1. F. Abdulwahab, 2002, "Simulation of Resistance Spot Welding." AB Volvo, Technological Development.
2. ADINA, 1990, "Users Manual," ADINA R&D, Watertown, MA.
3. Agelet de Saracibar C., Cervera M., Chiumenti M. On the constitutive modeling of coupled thermomechanical phase-change problems. Int. J. Plasticity 2001, 17(12):1565-1622.
4. Andersson B. Thermal stresses in a submerged-arc welded joint considering phase transformations. ASME J. Eng. Mater. Technol. 1978, 100:356-362.
5. Andersson B., Karlsson L. Thermal stresses in large butt-welded plates. J. Thermal Stress. 1981, 4:491-500.
6. Argyris J.H., Szimmat J., Willam K.J. Computational aspects of welding stress analysis. Comp. Methods Appl. Mech. Eng. 1982, 33:635-666.
7. J. Argyris, J. Szimmat and K. Willam, 1985, Finite element analysis of arc-welding processes. In: "Numerical Methods in Heat Transfer," ed. W. Lewis, vol. III, p. 35.
8. Balagangadhar D., Dorai G., Tortorelli D. A displacement-based eulerian steady-state formulation suitable for thermo-elasto-plastic material models. Int. J. Solids Struct. 1999, 36(16):2397-2416.
9. Bammann D. Modeling temperature and strain rate dependent large deformations of metals. Appl. Mech. Rev. 1990, 43(5):312-319.
10. Bammann D.J., Chiesa M.L., Johnson G.C. Modeling large deformation and failure in manufacturing processes. 19th International Congress on Theoretical and Applied Mechanics 1996, 359-375. Kyoto, Elsevier, Amsterdam. T. Tatsumi, E. Watanabe, T. Kambe (Eds.).
11. Bathe K.-J. Finite Element Procedures 1996, Prentice-Hall, Upper Saddle River, NJ, USA.
12. Belytschko T., Liu W., Moran B. Nonlinear Finite Elements for Continua and Structures 2000, 650. Wiley, Chichester, West Sussex, UK.
13. D. Bergheau, D. Pont and J. Leblond, 1992, Three-dimensional simulation of a laser surface treatment through steady state computation in the heat source's comoving frame. In: "IUTAM Symposium on the Mechanical Effects of Welding," eds. L. Karlsson, M. Jonsson and L.-E. Lindgren, p. 85.
14. J. Bergheau and J. Leblond, 1991, Coupling between heat flow, metallurgy and stress-strain computations in steels: the approach developed in the computer code SYSWELD for welding or quenching. In: "Modelling of Casting, Welding and Advanced Solidification Processes V," eds. M. Rappas, M. Ozgu and K. Mahin, The Minerals, Metals and Materials Society.
15. D. Berglund and H. Runnemalm, 2002, Comparison of deformation pattern and residual stresses in finite element models of a TIG-welded stainless steel plate. In: "6th International Conference on Trends in Welding Research," Pine Mountain, Georgia, eds. J. Vitek, S. A. David, T. DebRoy, H. Smartt and J. Lippold, ASM International, Materials Park, Ohio, USA.
16. Bergmann H., Hilbinger R. Numerical simulation of centre line hot cracks in laser beam welding of aluminium close to the sheet edge. Mathematical Modelling of Weld Phenomena 4 1998, 658-668. Graz, Austria. H. Cerjak (Ed.).
17. Boellinghaus T., Viyanit E. Numerical simulations of hydrogen-assisted cracking of supermartensitic stainless steels-report I. Mathematical Modelling of Weld Phenomena 6 2001, 839-855. Graz, Austria. H. Cerjak (Ed.).
18. Bonet J., Wood R.D. Nonlinear Continuum Mechanics for Finite Element Analysis 1997, Cambridge University Press, Cambridge.
19. Börjesson L., Lindgren L.-E. Thermal, metallurgical and mechanical models for simulation of multipass welding. ASME J. Eng. Mater. Technol. 2001, 123(January):106-111.
20. Brickstad B., Josefson B. A parametric study of residual stresses in multipass butt-welded stainless steel pipes. Int. J. Pres. Ves. Piping 1998, 75:11-25.
21. Brooks J., Dike J. Modeling weld solidification cracking behavior in aluminum alloys-analysis of fracture initiation. 5th International Conference on Trends in Welding Research 1998, 695-699. Mountain, Georgia, Pine. J. Vitek, S. David, J. Johnson, H. Smartt, T. DebRoy (Eds.).
22. Brown S., Christie K., Song H. Three dimensional finite element modeling of welded structures. IUTAM Symposium Mechanical Effects of Welding 1992, 181-188. Springer, Berlin, Germany. L. Karlsson, M. Jonsson, L.-E. Lindgren (Eds.).
23. Brown S., Song H. Rezoning and dynamic substructuring techniques in FEM simulations of welding processes. J. Eng. Industry 1993, 115:415-422.
24. Brust W.F., Dong P., Zhang J. A constitutive model for welding process simulation using finite element methods. International Conference on Computational Engineering Science, San Jose, Costa Rica 1997, 51-56. Tech Science Press, USA. S.N. Atluri, G. Yagawa (Eds.).
25. Z. Cai, H. Zhao and A. Lu, 2002, An efficient finite-element approach for modeling of actual welded structures, submitted.
26. Cañas J., Picón R., Marin J. Experimental and numerical analysis of residual stresses in welded Al-5083-0 aluminium plates. Comp. Struct. 1996, 58(1):59-69.
27. Carmet A., Debiez S., Devaux J., Pont D., Leblond J. Experimental and numerical study of residual stresses and strains in an electron-beam-welded joint. 2nd International Conference on Residual Stresses (ICRS2), Nancy 1988, 491-497. Kluwer Academic, Dordrecht, The Netherlands.
28. H. Cerjak, H. K. D. H. Bhadeshia, 2001, Mathematical Modelling of Weld Phenomena 5, Material Modelling Series, IOM Communication, Ltd, London, England.
29. Cervera M., Agelet de Saracibar C., Chiumenti M. Thermo-mechanical analysis of industrial solidification processes. Int. J. Numer. Method Eng. 1999, 46:1575-1591.
30. Chen Y., Sheng I. Residual stress in weldment. J. Thermal Stress. 1992, 15(1):53-69.
31. M. Crisfield, 1991, "Non-linear Finite Analysis of Solids and Structures," Essentials, Wiley, Chichester, West Sussex, UK, vol. 1.
32. M. Crisfield, 1997, "Non-linear Finite Element Analysis of Solids and Structures," Advanced topics, Wiley, Chichester, West Sussex, UK, vol. 2.
33. S. Das, G. Upadhya, U. Chandra, M. Kleinosky, M. Tims, 1993, Finite element modeling of a single-pass GMA weldment. In: "Modeling of Casting, Welding and Advanced Solidification Processes VI," eds. T. Piwonka, V. Voller and L. Katgerman, The Minerals, Metals and Materials Society, pp. 593-600.
34. Devaux J., Pont D., Leblond J. Numerical simulation of the repair of a defect-containing zone by a manual welding procedure. ASME 10th Conference on Offshore and Arctic Engineering (OMAE) 1991, vol. III-A:31-36. Materials Engineering, Stavanger, Norway. M.M. Salama, M. Toyoda, S. Liu, J.F. Dos Santos, M. Kocak (Eds.).
35. J. Dike, J. Brooks and J. Krafcik, 1995a, Finite element modeling and verification of thermal-mechanical behavior in the weld pool region. In: "4th International Conference on Trends in Welding Research, Gatlinburg, USA," eds. H. Smartt, J. Johnson and S. David, pp. 159-164.
36. J. Dike, C. Cadden, R. Corderman, C. Schultz and M. McAninch, 1995b, Finite element modeling of multipass GMA welds in steel plates. In: "4th International Conference on Trends in Welding Research, Gatlinburg, USA," eds. H. Smartt, J. Johnson and S. David, pp. 57-66.
37. J. Dike, A. Ortega, C. Cadden, P. Rangaswamy, D. Brown, 1998, Finite element modeling and validation of residual stresses in 304L girth welds. In: "Proceeding of the 5th International Conference on Trends in Welding Research," eds. S. A. David, J. A. Johnson, H. B. Smartt, T. Debroy and J. M. Vitek, ASM International and American Welding Society, p. 961.
38. Dong P., Zhang L., Li M. Computational modeling of weld residual stresses and distortions-an integrated framework and industrial applications. Fatigue, Fracture and Residual Stresses, PVP-373, ASME, San Diego, California, USA, July 26-30 1998, ASME, Press. Vess. and Piping Division. S. Rahman, P. Dong (Eds.).
39. Dong Y., Hong J., Tsai C., Dong P. Finite element modeling of residual stresses in austenitic stainless steel pipe girth welds. Weld. J. 1997, 76(10):442s-449s.
40. D. Dubois, J. Devaux and J. Leblond, 1984, Numerical simulations of a welding operation: calculation of residual stresses and hydrogene diffusion. In: "5th International Conference on Pressure Vessel Technology," ASME, San Francisco, CA, USA. vol. II, p. 1210.
41. K. Easterling, 1992, "Introduction to the physical metallurgy of welding," Redwood Books, 2nd edn., Trowbridge, Wiltshire, Great Britan.
42. Ericsson M., Berglund D., Nyln P. Three dimensional simulation of robot path, heat transfer and residual stresses of a TIG-welded part with complex geometry. 6th International Conference on Trends in Welding Research 2002, ASM International, Materials Park, Ohio, USA, Pine Mountain, Georgia. J. Vitek, S.A. David, T. DebRoy, H. Smartt, J. Lippold (Eds.).
43. Feng Z. A computational analysis of thermal and mechanical conditions for weld solidification cracking. Weld. World 1994, 33(5):340-347.
44. Feng Z., Zacharia T., David S. On the thermomechanical conditions for weld metal solidification cracking. Mathematical Modelling of Weld Phenomena 3 1997, 114-148. Graz University of Technology, Austria. H. Cerjak (Ed.).
45. Fischer F., Reisner G., Tanaka K., Antretter T. A critical view on transformation induced plasticity (TRIP). International Congress on the Mechanical Behaviour of Materials-ICM8 1999, vol. 3:1067-1070. Victoria, Canada. F. Ellyin, J. Provan (Eds.).
46. Fischer F., Reisner G., Werner E., Tanaka K., Cailletaud G., Antretter T. A new view on transformation induced plasticity (TRIP). Int. J. Plasticity 2000, 16:723-748.
47. Fischer F., Sun Q.-P., Tanaka K. Transformation-induced plasticity (TRIP). Appl. Mech. Rev. 1996, 49(6):317-364.
48. FRAMASOFT/CSI, 1997, "SYSWELD User Manuals," ESI Group, Paris, France.
49. Fricke S., Keim E., Schmidt J. Fracture mechanics investigation of root formation and shrinkage during welding. ASME Pressure Vessel and Piping Conference 1998, PVP-Vol. 365:137-141. San Diego, USA. R.C. Hurst, F. Boydon, J. Wintle, D. McGarry, B. Hemsworth (Eds.).
50. Fricke S., Keim E., Schmidt J. Modelling of root formation during the welding process with the help of the 3d fe method. Mathematical Modelling of Weld Phenomena 4 1998, 649-657. Graz, Austria. H. Cerjak (Ed.).
51. Fricke S., Keim E., Schmidt J. Numerical weld modeling-a method for calculating weld-induced residual stresses. Nucl. Eng. Des. 2001, 206:139-150.
52. Friedman E. Thermomechanical analysis of the welding process using the finite element method. ASME J. Pres. Ves. Technol. 1975, 97(3):206-213.
53. Friedman E. Numerical simulation of the gas tungsten-arc welding process. ASME Winter Annual Meeting Atlanta, USA, 27 Nov-2 Dec 1977, 35-47. ASME, New York.
54. Frost H.J., Ashby M.F. Deformation-mechanism maps for pure iron, two austenitic stainless steels and a low-alloy ferritic steel. Fundamental Aspects of Structural Alloy Design 1977, 26-65. Plenum, New York. R.I. Jaffee, B.A. Wilcox (Eds.).
55. Frost H.J., Ashby M.F. Deformation-Mechanism Maps-the Plasticity and Creep of Metals and Ceramics 1982, Pergamon.
56. L. Fuglsang Andersen, 2000, Residual stresses and deformations in steel structures. Ph.D., Technical University of Denmark.
57. Goldak J. Modeling thermal stresses and distortions in welds. Proceeding of the 2nd International Conference on Trends in Welding Research, May 14-18, 1989, Gatlinburg, TN, USA 1989, 71. ASM International, Materials Park, OH. S.A. David (Ed.).
58. J. Goldak, 1997, Thermal analysis of welds. In: "Modeling in Welding, Hot Power Forming and Casting," eds. K. Karlsson, pp. 17-29.
59. J. Goldak, M. Bibby, D. Downey and M. Gu, 1990a, Heat and fluid flow in welds. In: "Int. Welding Congress on Joining Research, Montreal, Canada," eds. T. H. North, Chapman and Hall, pp. 69-82.
60. Goldak J., Bibby M., Moore J., House R., Patel B. Computer modeling of heat flow in welds. Metall. Trans. B 1986, 17B:587-600.
61. J. Goldak, N. Breiguine and N. Dai, 1995, Computational weld mechanics: a progress report on ten grand challenges. In: "Proceeding of the 4th International Conference on Trends in Welding Research," p. 45.
62. Goldak J., Chakravarti A., Bibby M. A new finite element model for welding heat sources. Metall. Trans. B 1984, 15B:299-305.
63. Goldak J., Gu M. Computational weld mechaincs of the steady state. Mathematical Modelling of Weld Phenomena 2 1995, Graz, Austria. H. Cerjak (Ed.).
64. Goldak J., Gu M., Hughes E. Steady state thermal analysis of welds with filler metal addition. Canad. Metall. Quarterly 1993, 32(1):49-55.
65. Goldak J., Gu M., Paramjeet K., Bibby M. Computer simlations of welding processes. ASME Winter Annual Meeting Symposium on Computer Modeling and Simulation of Manufacturing Processes, Nov 25-30 1990, 193-201. ASME, Dallas, TX, New York, USA. B. Singh, Y.T. Im, I. Haque, C. Altan (Eds.).
66. Goldak J., McDill M., Oddy A., House R., Chi X., Bibby M. Computational heat transfer for weld mechanics. Trends in Welding Research 1986, 15-20. ASM International, Materials Park, Ohio, USA. S.A. David (Ed.).
67. Goldak J., Oddy A., Gu M., Ma W., Mashaie A., Hughes E. Coupling heat transfer, microstructure evolution and thermal stress analysis in weld mechanics. IUTAM Symposium, Luleå, Sweden 1991, 1-30. Springer, Berlin. L. Karlsson, L.-E. Lindgren, M. Jonsson (Eds.).
68. J. Goldak, B. Patel, M. Bibby and J. Moore, 1985, Computational weld mechanics. In: "AGARD Workshop-Structures and Materials 61st Panel Meeting, Oberammergau, Germany.".
69. Goldak J., Zhou J., Breiguine V., Montoya F. Thermal stress analysis of welds: from melting point to room temperature. Trans. JWRI 1996, 25(2):185-189.
70. Granjon H. Fundamentals of Welding Metallurgy 1991, 210. Abington Publishing, Cambridge.
71. O. Grong, 1994, "Metallurgical Modelling of Welding," Materials Modelling Series, The Institute of Materials, London.
72. M. Gu and J. Goldak, 1991, Mixing thermal shell and brick elements in fea of weld. In: "10th International Conference on Offshore Mechanics and Arctic Engineering (OMAE)," Materials Engineering, vol. III-A, pp. 1-6.
73. Gu M., Goldak J., Knight A., Bibby M. Modelling the evolution of microstructure in the heat affected zone of steady state welds. Canad. Metall. Quarterly 1993, 32:351-363.
74. J. Hallquist, 1986, "NIKE2D-A Vectorized Implicit, Finite Deformation Finite Element Code for Analyzing the Static and Dynamic Response of 2-D Solids with Interactive Rezoning and Graphics," Technical report UCID-19677, Lawrence Livermore National Laboratories.
75. Hallquist J. LS-DYNA Theoretical Manual 1998, Livermore Software Technology Corporation, Livermore.
76. Halphen B., Nguyen Q.S. Sur les matériaux standards généralisés. J. Mécanique 1975, 14:39-63.
77. E. Hedblom, 2000a, Simulation of multipass welding to reduce intergranular stress corrosion cracking, report no. 2000:57, Luleå University of Technology.
78. E. Hedblom, 2000b, Simulation of multipass welding to reduce intergranular stress corrosion cracking. Licentiate thesis, Luleå University of Technology.
79. E. Hedblom, 2002, "Multipass Welding of Nuclear Components-Computations," Technical report 2002:06, Department of Mechanical Engineering.
80. Henrysson H.-F., Abdulwahab F., Josefson B., Fermér M. Residual stresses in resistance spot welds: finite element simulations, x-ray measurements an influence of fatigue behaviour. Weld. World 1999, 43(1):55-63.
81. Henwood C., Bibby M., Goldak J., Watt D. Coupled transient heat transfer-microstructure weld computations (Part B). Acta Metall. 1988, 36(1):3037-3046.
82. D. Hibbitt, B. Karlsson and P. Sorensen, 2001, "ABAQUS Manual, Version 6.2," Hibbitt, Karlsson & Sorensen, Providence.
83. Hibbitt H., Marcal P. A numerical thermo-mechanical model for the welding and subsequent loading of a fabricated structure. Comp. Struct. 1973, 3:1145-1174.
84. S. Hyun, 2001, Simulating a sequence of manufacturing steps. In: "7th International Conference on Numerical in Industrial Forming Processes NUMIFORM '01, Toyohashi, Japan," ed. K. Mori.
85. S. Hyun and L.-E. Lindgren, 2003, Simulating a chain of manufacturing processes using a geometry based finite element code with adaptive meshing, Finite Elements in Analysis and Designs.
86. Inoue T. Metallo-thermo-mechanics. Trans. JWRI 1996, 25(2):69-88.
87. Inoue T. Residual stresses and distortion in metallo-thermo-mechanics: simulation of engineering processes incorporating phase transformation. Mathematical Modelling of Weld Phenomena 4 1998, Graz University of Technology, Austria. H. Cerjak (Ed.).
88. T. Inoue and Z. Wang, 1983, High-temperature behaviour of steels with phase transformation and the simulation of quenching and welding processes. In: "4th International Conference on the Mechanical Behaviour of Materials," Stockholm, Sweden, pp. 1015-1021.
89. Inoue T., Wang Z. Coupling between stress, temperature, and metallic structures during processes involving phase transformations. Mater. Sci. Technol. 1985, 1(October):845-850.
90. Inoue T., Yamaguchi T., Wang Z. Stresses and phase transformations occurring in quenching of carburized steel gear wheel. Mater. Sci. Technol. 1985, 1(October):872-908.
91. Jang G., Kim H., Kang S. The effects of root opening on mechanical properties, deformation and residual stress of weldments. Weld. J. 2001, 80(3):80s-89s.
92. Johansson M., Runesson K. Viscoplasticity with dynamic yield surface coupled to damage. Comp. Mech. 1997, 20:53-59.
93. Jones B., Emery A., Marburger J. An analytical and experimental study of the effects of welding parameters in fusion welds. Weld. J. 1993, 72(2):51s-59s.
94. Jonsson M., Karlsson L., Lindgren L.-E. Thermal stresses, plate motion and hot cracking in butt-welding. 4th International Conference on Mechanical Behaviour of Materials, Stockholm, Sweden 1983, 273-279. Pergamon, Stockholm. J. Carlsson, N.-G. Ohlson (Eds.).
95. M. Jonsson, L. Karlsson and L.-E. Lindgren, 1985, Deformations and stresses in butt-welding of large plates. In: "Numerical Methods in Heat Transfer," ed. R. Lewis, vol. III, p. 35.
96. Josefson L., Karlsson C. Transformation plasticity effects in residual stresses in a butt-welded pipe. ASME J. Pres. Ves. Technol. 1992, 114:376-378.
97. Karlsson C. Finite element analysis of temperatures and stresses in a single-pass butt-welded pipe-influence of mesh density and material modelling. Eng. Comp. 1989, 6:133-142.
98. Karlsson L. Thermal stresses in welding. Thermal Stresses 1986, vol. 3:300-389. Elsevier, North-Holland. R. Hetnarski (Ed.).
99. Karlsson L., Lindgren L.-E. Combined heat and stress-strain calculations. Modeling of Casting, Welding and Advanced Solidification Processes V 1990, 187-202. Davos, Switzerland. M. Rappaz, M. Ozgu, K. Mahin (Eds.).
100. Kassner M.E., Prez-Prado M.-T. Five-power-law creep in single phase metals and alloys. Prog. Mater. Sci. 2000, 45:1-102.
101. Katayama S. Solidification phenomena of weld metals Solidification cracking mechanism and cracking susceptibility (3rd Report). Weld. Int. 2001, 15(8):13-23.
102. Larsson F., Runesson K., Hansbo P. Time finite element and error computation for (visco) plasticity with hardening or softening. Int. J. Numer. Method Eng. 2003, 56(14):2213-2232.
103. Leblond J. Mathematical modelling of transformation plasticity in steels: II. Coupling with strain hardening phenomena. Int. J. Plasticity 1989, 5:573-591.
104. Leblond J., Devaux J., Devaux J. Mathematical modelling of transformation plasticity in steels: I. Case of ideal-plastic phases. Int. J. Plasticity 1989, 5:551-572.
105. Leblond J., Mottet G., Devaux J. A theoretical and numerical approach to the plastic behaviour of steels during phase transformations: I. Derivation of general relations. J. Mech. Phys. Solids 1986, 34(4):395-409.
106. Leblond J., Mottet G., Devaux J. A theoretical and numerical approach to the plastic behavior of steels during phase transformations: II. Study of classical plasticity for ideal-plastic phases. J. Mech. Phys. Solids 1986, 34(4):411-432.
107. Leblond J., Mottet G., Devaux J., Devaux J. Mathematical models of anisothermal phase transformations in steels, and predicted plastic behaviour. Mater. Sci. Technol. 1985, 1(October):815-822.
108. Lemaitre J. A Course on Damage Mechanics 1996, Springer, Berlin. 2nd edn.
109. J. Lemaitre and J.-L. Chaboche, 1990, "Mechanics of Solid Materials," Cambridge University Press, Cambridge.
110. B. Lenz and F. Rick, 1999, Lösungsansatze zur Simulation des Laserstrahlschweissens mit thermomechanischen und mechanischen Analysen. In: "MARC Benutzertreffen. München," MSC Softwar GmbH, München.
111. C. Leung and R. Pick, 1986, The use of generalized plane strain elements in the prediction of residual stresses in welded flat plates. In: "Computer Modelling of Fabrication Processes and Constitutive Behaviour of Metals," eds. J. J. M. Too, Gaussian Heat Source, The Canada Center for Minerals and Energy Technology.
112. M. Li, D. Atteridge, W. Anderson, C. Hubbard and S. Spooner, 1995a, An experimental analysis of temperature and stress fields in girth welded 304L stainless steel pipes. In: "4th International Conference on Trends in Welding Research, Gatlinburg, USA," In: H. Smartt, J. Johnson and S. David, ASM International and American Welding Society, pp. 67-72.
113. M. Li, D. Atteridge, L. Meekisho and S. West, 1995b, A 3D finite element analysis of temperature and stress fields in girth welded 304L stainless steel pipe. In: "4th International Conference on Trends in Welding Research, Gatlinburg, USA," eds. H. Smartt, J. Johnson, and S. David, ASM International and American Welding Society, pp. 51-56.
114. Lindgren L.-E. Finite element modeling and simulation of welding: Part 1. Increased complexity. J. Thermal Stress. 2001, 24:141-192.
115. Lindgren L.-E. Finite element modeling and simulation of welding: Part 2. Improved material modeling. J. Thermal Stresses 2001, 24:195-231.
116. Lindgren L.-E. Finite element modeling and simulation of welding: Part 3. Efficiency and integration. J. Thermal Stresses 2001, 24:305-334.
117. Lindgren L.-E., Edberg J. Explicit versus implicit finite element formulation in simulation of rolling. J. Mater. Process. Technol. 1990, 24:85-94.
118. Lindgren L.-E., Häggblad H.-A., McDill J., Oddy A. Automatic remeshing for three-dimensional finite element simulation of welding. Comp. Methods Appl. Mech. Eng. 1997, 147:401-409.
119. Lindgren L.-E., Hedblom E. Modelling of addition of filler material in large deformation analysis of multipass welding. Commun. Num. Methods Eng. 2001, 17(9):647-657.
120. Lindgren L.-E., Karlsson L. Deformations and stresses in welding of shell structures. Int. J. Num. Methods Eng. 1988, 25:635-655.
121. Lindgren L.-E., Runnemalm H., Nasstrom M.O. Simulation of multipass welding of a thick plate. Int. J. Numer. Methods Eng. 1999, 44(9):1301-1316.
122. Lindgren L.-E., Runnemalm H., Nguyen-Dang H., Borlee B. Crack Analysis of multipass welded plate. MMSP96 General Workshop 1996, Davos, Austria. M. Rappaz, M. Kedro (Eds.).
123. Ma N.-X., Ueda Y., Murakawa H., Maeda H. FEM analysis of 3-D welding residual stresses and angular distortion in T-type fillet welds. Trans. JWRI 1995, 24(2):115-122.
124. Maddox S. Fatigue Strength of Welded Structures 1991, Abington Publishing.
125. Mahin K., MacEwen S., Winters W., Mason W., Kanouff M., Fuchs E. Evaluation of residual stress distribution in a traveling GTAweld using finite element and experimental techniques. Modeling of Casting and Welding Processes IV, Palm Coast, FL, April 17-22 1988, 339. The Minerals, Metals and Materials Society, Warrendale, Pennsylvania, USA. A.F. Giamei, G.J. Abbaschian (Eds.).
126. Mahin K., Winters W., Holden T., Hosbons R., MacEwen S. Prediction and measurements o residual elastic strain distributions in gas tungsten arc welds. Weld. J. 1991, 70(9):245s-260s.
127. Mahnken R., Johansson M., Runesson K. Parameter estimation for a viscoplastic damage model using a gradient-based optimization algorithm. Eng. Comp. 1998, 15:925-955.
128. Masubuchi K. Analysis of Welded Structures, Vol 33 of International Series on Material Science and Technology 1980, Pergamon, Oxford, England.
129. McDill J., Oddy A., Goldak J. Comparing 2-D plane strain and 3-D analyses of residual stresses in welds. International Trends in Welding Science and Technology 1992, 105-109. ASM International, Materials Park, OH. S. David, J. Vitek (Eds.).
130. McDill J., Oddy A., Goldak J., Bennison S. Finite element analysis of weld distortion in carbon and stainless steels. J. Strain Anal. 1990, 25(1):51-53.
131. J. McDill, K. Runnemalm and A. Oddy, 1999, An 8- to 16-node solid graded shell element for far-field applications in 3-d thermal-mechanical fea. In: "The 12th International Conference on Mathematical and Computer Modelling and Scientific Computing, Journal of Mathematical and Computer Modelling and Scientific Computing, to be published.
132. Michaleris P. Prediction of welding distortion. Weld. J. (H. W. Wilson-AST) 1997, 76:172s.
133. Michaleris P., Kirk M., Mohr W., McGaughy T. Incorporation of residual stress effects into fracture mechanics assessments via the finite element method. Fatigue and Fracture Mechanics 1996, Vol. 28:499-514. Saratoga Springs, USA. J. Underwood, B. McDonald, M. Mitchell (Eds.).
134. Unified Constitutive Equations for Creep and Plasticity 1987, 342. Elsevier Applied Science, London. A.K. Miller (Ed.).
135. Mochizuki M., Enomoto K., Toyoda M. Residual stress control for assuring integrity against fatigue and stress-corrosion cracking in welded components. Mathematical Modelling of Weld Phenomena 6 2001, 539-571. Graz, Austria. H. Cerjak (Ed.).
136. MSC, 2001, "Marc User's Guide," MSC Software Corporation, USA, vol. AE.
137. E. Munier and S. Lefebvre, 1998, Numerical simulation of Varestraint test. In: "5th International Conference on Trends in Welding Research, Pine Mountain, USA," eds. S. A. David, J. A. Johnson, H. B. Smartt, T. Debroy and J. M. Vitek, ASM International and American Welding Society, pp. 712-717.
138. H. Murakawa, Y. Luo and Y. Ueda, 1998, Inherent strain as an interface between computational welding mechanics and its industrial application. In: "Mathematical Modelling of Weld Phenomena 4," eds. H. Cerjak and H. Bhadeshia, Graz, Austria, The Institute of Materials Communications Ltd., London, UK, pp. 597-619.
139. Murthy Y., Venkata Rao G., Krishna Iyer P. Analysis of residual stresses in hemispherical head to cylindrical shell joints of steam generator by weld cycle simulation. J. Mater. Process. Technol. 1994, 44(3-4):273-280.
140. Murthy Y., Venkata Rao G., Krishna Iyer P. Numerical simulations of welding and quenching processes using transient thermal and thermo-elasto-plastic formulations. Comp. Struct. 1996, 60(1):131-154.
141. O. Myhr, H. Fjaer, S. Klokkehaug, E. Holm, O. Grong and A. Kluken, 1999, WELDSIM-an advanced simulation model for aluminium welding. In: "Proceeding of: Ninth International Conference on Computer Technology in Welding September 28-30, 1999, Detroit, Michigan USA," American Welding Society, Miami, Florida, USA, pp. 1-12.
142. M. Näsström, L. Wikander, L. Karlsson, L.-E. Lindgren and J. Goldak, 1992, Combined 3D and shell modelling of welding. In: "IUTAM Symposium on the Mechanical Effects of Welding," eds. L. Karlsson, M. Jonsson and L.-E. Lindgren, Springer, Luleå, Sweden, p. 197.
143. Oddy A., Goldak J., McDill J. Numerical analysis of transformation plasticity in 3D finite element analysis of welds. Euro. J. Mech., A/Solids 1990, 9(3):253-263.
144. Oddy A., Goldak J., McDill J., Bibby M. A distortion metric for isoparametric finite elements. CSME 1988, 12(4):213-217.
145. Oddy A., Goldak J., McDill M. Transformation Effects in the 3D Finite Element Analysis of Welds. The 2nd International Conference on Trends in Welding Research, Gatlinburg, Tennessee 1989, 97-101. ASM International, Materials Park, Ohio. H.B. Smartt, J.A. Johnson, S.A. Davis (Eds.).
146. A. Oddy, J. Goldak and R. Reed, 1992, Martensite formation, transformation plasticity and stress in high strength steel welds. In: "3rd International Conference on Trends in Welding Research, Gatlinburg, USA," eds. S. David and J. Vitek, pp. 131-137.
147. A. Oddy and L.-E. Lindgren, 1997, 'Mechanical modeling and residual stresses,' In: "Modeling in Welding, Hot Powder Forming, and Casting," ed. L. Karlsson, ASM International, Ohio, pp. 31-359.
148. Oddy A., McDill J. Burnthrough prediction in pipeline welding. Int. J. Fract. 1999, 97(1/4):249-261.
149. Oddy A., McDill J., Karlsson L. Microstructural predictions including arbitrary thermal histories, reaustenization and carbon segregation effects. Canad. Metall. Quarterly 1996, 35(3):275-283.
150. Ortega A., Bertram L., Fuchs E., Mahin K., Nelson D. Thermomechanical modeling of a stationary gas metal arc weld; a comparison between numerical and experimental results. Proceeding of the 4th International Conference on Trends in Welding Research 1992, 89. ASM International, Gatlinburg, USA. S.A. David, J.M. Vitek (Eds.).
151. Ortega A., Dike J., Lathrop J., Cadden C., Folk D., Robles J. Analysis and validation of multi-pass girth welds in pipes. 8th International Conference of Casting, Welding and Advanced Solidification Processes, San Diego, USA 1998, 779-786. The Minerals, Metals and Materials Society. B. Thomas, C. Beckermann (Eds.).
152. Ortega A., Corderman R., Fuchs E., Hess B., Mahin K., Giamei A. Analysis of buckling distortion in bead-on-plate Ti 6-4 welds. Modelling of Casting, Welding and Advanced Solidification Processes VII 1995, 249-256. The Minerals, Metals and Materials Society. M. Cross, J. Campbell (Eds.).
153. Papazoglou V., Masubuchi K. Numerical analysis of thermal stresses during welding including phase transformation effects. ASME J. Pres. Ves. Technol. 1982, 104:198-203.
154. Prasad N.S., Sankaranarayanan T.K. Estimation of residual stresses in weldments using adaptive grids. Comp. Struct. 1996, 60(6):1037-1045.
155. Radaj D. Heat Effects of Welding 1992, Springer, Berlin.
156. D. Radaj, 2001, Integrated finite element analysis of welding residual stresses and distortion. In: "Mathematical Modelling of Weld Phenomena 6," ed. H. Cerjak Graz, Austria, pp. 469-489.
157. Ravichandran G., Raghupathy V., Ganesan N., Krishnakumar R. Analysis of transient longitudinal distortion in fillet welded T-beam using FEM with degenerated shell element. Int. J. Join. Mater. 1996, 8(4):170-179.
158. Ravichandran G., Raghupathy V., Ganesan N., Krishnakumar R. Prediction of axis shift distortion during circumferential welding of thin pipes using the finite element method. Weld. J. Res. Suppl. 1997, 76(1):39s-55s.
159. Rindler W., Kozeschnik E., Enzinger N., Buchmayr B. A modified hot tearing criterion for steels. Mathematical Modelling of Weld Phenomena 6 2001, 819-835. Graz, Austria. H. Cerjak (Ed.).
160. Roelens J. Determination of residual stresses in submerged arc multi-pass welds by means of numerical simulation and comparisons with experimental measurements. Mathematical Modelling of Weld Phenomena 2 1995, 226-241. The Institute of Materials Communications Ltd., London, UK. H. Cerjak (Ed.).
161. Roelens J.-B., Maltrud F., Lu J. Determination of residual stresses in submerged arc multi-pass welds by means of numerical simulation and comparison with experimental measurements. Weld. World 1994, 33(3):152-159.
162. Rolph W., Bathe K.-J. An efficient algorithm for analysis of nonlinear heat transfer with phase changes. Int. J. Num. Methods Eng. 1982, 18:119-134.
163. Ronda J., Oliver G. Comparison of applicability of various thermo-viscoplastic constitutive models in modelling of welding. Comp. Methods App. Mech. Eng. 1998, 153(3-4):195-221.
164. Ronda J., Oliver G. Consistent thermo-mechano-metallurgical model of welded steel with unified approach to derivation of phase evolution laws and transformation-induced plasticity. Comp. Methods Appl. Mech. Eng. 2000, 189:361-417.
165. K. Runesson and P. Steinmann, 2003, "Constitutive Modeling of Engineering Materials-Theory and Computation, Vol. I General Concepts and Inelasticity," Technical report, Department of Applied Mechanics, Chalmers University of Technology.
166. Runnemalm H., Hyun S. Three-dimensional welding analysis using an adaptive mesh scheme. Comp. Methods Appl. Mech. Eng. 2000, 189:515-523.
167. Rybicki E., Schmueser D., Stonesifer R., Groon J., Mishler H. A finite element model for residual stresses and deflections in girth-butt welded pipes. ASME J. Pres. Ves. Technol. 1978, 100:256-262.
168. Rybicki E., Stonesifer R. Computational of residual stresses due to multipass welds in piping systems. ASME J Pres. Ves. Technol. 1979, 101:149-154.
169. Rybicki E., Stonesifer R. An analysis for predicting weld repair residual stresses in thick-walled vessels. ASME J. Pres. Ves. Technol. 1980, 192:323-331.
170. Rybicki E., Stonesifer R., Olson R. Stress intensity factors due to residual stresses in thick-walled girth-welded pipes. ASME J. Pres. Ves. Technol. 1981, 103:66-75.
171. Sabapathy P.N., Wahab M.A., Painter M.J. The prediction of burn-through during in-service welding of gas pipelines. Int. J. Pres. Ves., Piping 2000, 77(11):669-677.
172. Sakaguchi M. Stress corrosion cracking susceptibilities of carbon steel and its welded joint in high temperature water. Trans. Japan Welding Research Institute 2000, 29(2):51-58.
173. Shanghvi J., Michaleris P. Thermo-elasto-plastic finite element analysis of quasi-state processes in Eulerian reference frames. Int. J. Numer. Methods Eng. 2002, 53:1533-1556.
174. Shibahara M., Serizawa H., Murakawa H. Finite element method for hot cracking using temperature dependent interface element. Trans. Japan. Weld. Res. Inst. 1999, 28(1):47-53.
175. J. Simo, 1994, "Handbook of Numerical Analysis," vol. IV, Chapt. Numerical analysis aspects of plasticity, North-Holland.
176. Simo J., Hughes T. Computational Inelasticity 1997, Springer, New York, USA.
177. I. Singh, W. Kroenke and M. Cola, 1997, Analytical prediction of the location of ductility dip cracking in the Trans-Varestraint test. In: "5th International Conference on Residual Stresses (ICRS-5), Linköping, Sweden," eds. T. Ericsson, M. Odén and A. Andersson, Linköping University, vol. 1, pp. 202-207.
178. S. Sjöström, 1982, The calculation of quench stresses in steel. Ph.D., University of Linköping.
179. A. Skyttebol and B. Josefson, 2003, "On the Influence of Residual Stresses After Flash Butt Welding on the Fatigue of Railway Rail," Technical report 2003:1, Department of Applied Mechanics, Chalmers University of Technology.
180. Smith K., Watson P., Topper T. A stress-strain function for fatigue of metals. J. Mater. 1970, 5(4):767-788.
181. Souloumiac B., Boitout F., Bergheau J. A new local-global approach for the modelling of welded steel component distortions. Mathematical Modelling of Weld Phenomena 6 2001, 573-590. The Institute of Materials Communications Ltd., London, UK. H. Cerjak (Ed.).
182. Stouffer D.C., Dame L.T. Inelastic Deformations of Metals-Models, Mechanical Properties and Metallurgy 1996, Wiley, New York, USA.
183. Taylor G. Plastic strain in metals. J. Inst. Metals 1938, 62:307-324.
184. Tekriwal P., Mazumder J. Transient and residual thermal strain-stress analysis of GMAW. ASME J. Eng. Mater. Technol. 1991, 113:336-343.
185. Teng T.-L., Fung C.-P., Chang P.-H. Effect of weld geometry and residual stresses on fatigue in butt-welded joints. Int. J. Pres. Ves. Piping 2002, 79(7):467-482.
186. Troive L., Lindgren L.-E., Jonsson M. Axial collapse load of a girth butt-welded pipe. Thermal Stresses '95, Hamamatsu, Japan 1995, 565-568. Shizuoka University. R. Hetnarski, N. Noda, T. Tuji (Eds.).
187. Y. Ueda, K. Fukuda, K. Nakacho, E. Takahashi and K. Sakomoto, 1977, Transient and residual stresses from multipass welding in very thick plates and their reduction from stress relief annealing. In: "3rd International Conference on Pressure Vessel Technology," Tokyo, vol. II, pp. 925-933.
188. Ueda Y., Takahashi E., Fukuda K., Sakamoto K., Nakacho K. Transient and residual stresses from multipass welding in very thick plates and their reduction from stress relief annealing. Trans. Japan Weld. Res. Inst. 1976, 5:179-187.
189. Ueda Y., Wang J., Murakawa H., Yuan M. Three dimensional numerical simulation of various thermomechanical processes by FEM (report IV). Trans. Japan Weld. Res. Inst. 1993, 22(2):289-294.
190. Ueda Y., Yamakawa T. Analysis of thermal elastic-plastic stress and strain during welding by finite element method. JWRI 1971, 2(2):90-100.
191. Wang J., Ueda Y., Murakawa H., Yuan M., Yang H. Improvement in numerical accuracy and stability of 3-D FEM analysis in welding. Weld. J. 1996, 75(4):129s-134s.
192. Wang Z., Inoue T. Viscoplastic constitutive relation incorporating phase transformatation-application to welding. Mater. Sci. Technol. 1985, 1(October):899-903.
193. Wanheim T., Bay N., Petersen A.S. A theoretically determined model for friction in metal working processes. Wear 1974, 28:251-258.
194. Watt D., Coon L., Bibby M., Goldak J., Henwood C. An algorithm for modeling microstructural development in weld heat-affected zones (Part A) reaction kinetics. Acta Metall. 1988, 36(11):3029-3035.
195. Winters W., Mahin K. PASTA2D Modeling of an axisymmetric stationary Gas Tungsten Arc weld. 5th International Conference on Modeling of Casting, Welding and Advanced Solidification Processes 1991, 97-104. Davos, Austria. M. Rappaz, M. Ozgu, K. Mahin (Eds.).
196. Yang Y., Dong P., Tian X., Zhang Z. Prevention of welding hot cracking of high strength aluminium alloys by mechanical rolling. 5th International Conference on Trends in Welding Research, Pine Mountain, USA 1998, 700-705. ASM International and American Welding Society. S.A. David, J.A. Johnson, H.B. Smartt, T. Debroy, J.M. Vitek (Eds.).
197. Yang Y., Dong P., Zhang J., Tian X. A hot-cracking mitigating technique for welding high strength aluminum alloy. Weld. J. 2000, 79(1):8s-17s.
198. Zhang J., Dong P. 3-D residual stress characteristics in pipe repair welds. International Conference on Trends in Welding Research 1998, 949-954. ASM International and American Welding Society. S.A. David, J.A. Johnson, H.B. Smartt, T. Debroy, J.M. Vitek (Eds.).
199. L. Zhang, X. Chen, M. Becker, L. Meekisho and D. Atteridge, 1997, Computationally efficient weld analysis. In: "7th International Conference on Computer Technology in Welding, San Fransico, USA," ed. T. Siewert, pp. 237-256.
200. T. Zohdi, 1992, Micro-macro modeling, computational testing and design of advanced materials. A habilitation thesis, Institut fuer Baumechanik und Numerische Mechanik, University of Hannover.