Elasto-visco-plastic analysis of welding residual stress

Science and Technology of Welding and Joining

Volumn 14, Issue 7, 2009, Pages 606-615

  Qin, X L ^a   Michaleris, P ^a  

^a The Pennsylvania State University   (United States)

Author keywords

Anand; Elasto plastic; Elasto visco plastic; Eulerian; Gas metal arc welding; Lagrangian; Mixed finite element analysis; Residual stress

Indexed keywords

ANAND; ELASTO-PLASTIC; ELASTO-VISCO-PLASTIC; EULERIAN; LAGRANGIAN; MIXED FINITE ELEMENTS;

CAVITY RESONATORS; COST REDUCTION; COUPLED CIRCUITS; ELASTOPLASTICITY; ELECTRIC WELDING; FINITE ELEMENT METHOD; FRICTION STIR WELDING; FUMES; GAS METAL ARC WELDING; LAGRANGE MULTIPLIERS; METAL ANALYSIS; RESIDUAL STRESSES; VISCOPLASTICITY;

PLASTICS;

EID: 77949482301     PISSN: 13621718     EISSN: 13621718     Source Type: Journal    
DOI: 10.1179/136217109X456988     Document Type: Article

References (50)

1. A. N. Fitch, C. R. A. Catlow and A. Atkinson: 'Measurement of stress in nickel oxide layers by diffraction of synchrotron radiation', J. Mater. Sci., 1991, 26, 2300-2304.
2. P. J. Webster: 'Strain scanning using X-rays and neutrons', Mater. Sci. Forum, 1996, 228-231, 191-200.
3. D. Rosenthal and J. T. Norton: 'A method for measuring triaxial residual stresses in plates', Weld. J., 1945, 24, 295-307.
4. 'Determining residual stresses by the hole drilling strain gage method', Standard E837, ASTM, West Conshohocken, PA, USA.
5. H. Hibbitt and P. V.Marcal andA Numerical: 'Thermo-mechanical model for the welding and subsequent loading of a fabricated structure', Comput. Struct., 1973, 3, (1145-1174), 1145-1174.
6. E. F. Rybicki, D. W. Schmueser, R. B. Stonesifer, J. J. Groom and H. W. Mishler: 'A finite-element model for residual stresses and deflections in girth-butt welded pipes', J. Press. Vess. Technol.y, 1978, 100, 256-262.
7. J. H. Argyris, J. Szimmat and K. J. Willam: 'Computational aspects of welding stress analysis', Comput. Methods Appl. Mech. Eng., 1982, 33, 635-666.
8. J. Goldak, A. Chakravarti and M. Bibby: 'A new finite element model for welding heat sources', Metall. Trans. B, 1984, 15B, 299-305.
9. P. Tekriwal and J. Mazumder: 'Transient and residual thermal strain-stress analysis of GMAW', J. Eng. Mater. Technol., 1991, 113, 336-343.
10. S. B. Brown and H. Song: 'Implications of three-dimensional numerical simulations of welding of large structures', Weld. J., 1992, 71, (2), 55s-62s.
11. J. Wang and H. Murakawa: 'A 3-D fem analysis of buckling distortion during welding in thin plate', Proc. 5th Int. Conf. on 'Trends in welding research', Pine Mountain, GA, USA, June 1998, ASM.
12. C. L. Tsai, S. C. Park and W. T. Cheng: 'Welding distortion of a thin-plate panel structure', AWS Weld. J. Res. Suppl., 1999, 78, 156s-165s.
13. L.-E. Lindgren: 'Computational weld mechanics: thermomechanical and microstructural simulations'; 2007, Cambridge, Woodhead.
14. J.-M. Bergheau, Y. Vincent, J.-B. Leblond and J.-F. Jullien: 'Viscoplastic behaviour of steels during welding', Sci. Technol. Weld. Join., 2004, 9, (4), 323-330.
15. P. Dong, F. Lu, J. K. Hong and Z. Cao: 'Coupled thermomechanical analysis of friction stir welding process using simplified models', Sci. Technol. Weld. Join., 2001, 6, 281-287.
16. Z. Feng, X.-L. Wang, S. A. David and P. S. Sklad: 'Modelling of residual stresses and property distributions in friction stir welds of aluminium alloy 6061-T6', Sci. Technol. Weld. Join., 2007, 12, 348-356.
17. C. Chen and R. Kovacevic: 'Thermomechanical modelling and force analysis of friction stir welding by the finite element method', J. Mech. Eng. Sci., 2004, 218, 509-519.
18. G. Buffa, J. Hua, R. Shivpuri and L. Fratini: 'Design of the friction stir welding tool using the continuum based fem model', Mater. Sci. Eng. A, 2006, A419, 381-388.
19. H. Schmidt and J. Hattel: 'A local model for the thermomechanical conditions in friction stir welding', Model. Simul. Mater. Sci. Eng., 2005, 13, 7793.
20. L. Fourment and S. Guerdoux: '3D numerical simulation of the three stages of friction stir welding based on friction parameters calibration', Int. J. Mater. Form., 2008, 1, 1287-1290.
21. P. Ulysse: 'Three-dimensional modeling of the friction stir-welding process', Int. J. Mach. Tools Manuf., 2002, 42, 15491557.
22. A. Bastier, M. H. Maitournam1, K. Dang Van and F. Roger: 'Steady state thermomechanical modelling of friction stir welding', Sci. Technol. Weld. Join., 2006, 11, (3), 278-288.
23. A. Bastier, M. H. Maitournam, F. Roger and K. Dang Van: 'Modelling of the residual state of friction stir welded plates', J. Mater. Process. Technol., 2008, 200, 25-37.
24. P. Michaleris, L. Zhang and P. Marugabandhu: 'Evaluation of applied plastic strain methods for welding distortion prediction', J. Manuf. Sci. Eng., 2007, 129, 1000-1010.
25. S. B. Brown, Kwon H. Kim and L. Anand: 'An internal variable constitutive model for hot working of metals', Int. J. Plast., 1989, 5, 95-130.
26. G. G. Weber, A. M. Lush, A. Zavaliangos and L. Anand: 'An objective time-integration procedure for isotropic rate-independent and rate-dependent elastic-plastic constitutive equations', Int. J. Plast., 1990, 6, 701-744.
27. G. Weber and L. Anand: 'Finite deformation constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids', Comput. Methods Appl. Mech. Eng., 1990, 79, 173-202.
28. Q. S. Nguyen and M. Rahimian: 'Mouvement permanent d'une fissure en milieu elastoplastique', J. Mec. Appl., 1981, 5, 95-120.
29. J. Y. Shanghvi and P. Michaleris: 'Thermo-elasto-plastic finite element analysis of quasi-state processes in Eulerian reference frames', Int. J. Numer. Methods Eng., 2002, 53, 1533-1556.
30. E. G. Thomson and S.-W. Yu: 'A flow formulation for rate equilibrium equations', Int. J. Numer. Methods Eng., 1990, 30, 1619-1632.
31. A. M. Maniatty, P. R. Dawson and G. G. Weber: 'An Eulerian elasto-viscoplastic formulation for steadystate forming processes', Int J. Mech. Sci., 1991, 33, 361-377.
32. X. Qin and P. Michaleris: 'Eulerian elasto-visco-plastic formulations for residual stress prediction', Int. J. Numer. Methods Eng., 2009, 77, 634-663.
33. X. Qin and P. Michaleris: 'Coupled thermo-elasto-viscoplastic analysis of friction stir welding', Proc. 8th Int. Conf. on 'Trends in welding research', Pine Mountain, GA, USA, June 2008, ASM.
34. J. C. Simo and R. L. Taylor: 'Consistent tangent operators for rateindependent elasto-plasticity', Comput. Methods Appl. Mech. Eng., 1985, 48, 101-118.
35. J. Lubliner: 'Plasticity theory', 1st edn; 1990, New York, Macmillan Publishing Company.
36. K.-J. Bathe: 'Finite element procedures'; 1996, Upper Saddle River, NJ, Prentice Hall.
37. D. Balagangadhar, G. A. Dorai and D. A. Tortorelli: 'A displacement-based Eulerian steady-state formulation suitable for thermo-elasto-plastic material models', Int. J. Solids Struct., 1999, 36, (16), 2397-2416.
38. J. Goldak M. Gu and E. Hughes: 'Steady state thermal analysis of welds with filler metal addition', Can. Metall. Q., 1993, 32, (1), 49-55.
39. E. Ohmura, Y. Takamachi and K. Inoue: 'Theoretical analysis of laser transformation hardening process of hypoeutectoid steel based on kinetics', Trans. Jpn Soc. Mech. Eng. A, 1990, 56A, 1496-1503.
40. S. Rajadhyaksha and P. Michaleris: 'Optimization of thermal processes using an Eulerian formulation and application in laser hardening', Int. J. Numer. Methods Eng., 2000, 47, 1807-1823.
41. A. Agrawal and P. R. Dawson: 'A comparison of galerkin and streamline techniques for integration strains from an Eulerian flow field', Int. J. Numer. Methods Eng., 1985, 21, 853-881.
42. S. R. Bhide, P. Michaleris, M. Posada and J. Deloach: 'Comparison of buckling distortion propensity for SAW, GMAW, and FSW', Weld. J., 2006, 85, 189-195.
43. The British Iron and Steel Research Association (ed.): 'Physical constants of some commercial steels at elevated temperatures'; 1953, London, Butterworths Scientific Publications.
44. O. A. Vanli and P. Michaleris: 'Distortion analysis of welded stiffeners', J. Ship Product., 2001, 17, (4), 226-240.
45. W. H. Hill, K. D. Shimmin and B. A. Wilcox: 'Elevatedtemperature dynamic moduli of metallic materials', Proc. ASTM, 1961, 61, 890-906.
46. R. Michel: 'Elastic consants and coefficients of thermal expansion of piping materials proposed for 1954 code for pressure piping', Trans. ASME, 1955, 77, 151-159.
47. C. J. Smithells (ed.): 'Metals reference book', 5th edn, London, Butterworths.
48. J. Wray: 'Mechanical, physical and thermal data for modeling the solidificaton processing of steels', in 'Modeling of casting and welding processes', (ed. H. D. Brody and D. Apelian), 245-257; 1980, Rindge, NH, The Metallurgical Society of AIME.
49. S. Nemat-Nasser and W.-G. Guo: 'Thermomechanical response of hsla-65 steel plates: experiments and modeling', Mech. Mater., 2003, 37, 379-405.
50. A. M. Lush, G. Weber and L. Anand: 'An implicit time-integration procedure for a set of internal variable constitutive equations for isotropic elasto-viscoplasticity', Int. J. Plast., 1989, 5, 521-549.