Constitutive modeling and finite element methods for TRIP steels

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 37-40, 2006, Pages 5094-5114

  Papatriantafillou, I ^a   Agoras, M ^a   Aravas, N ^a   Haidemenopoulos, G ^a  

^a UNIVERSITY OF THESSALY   (Greece)

Author keywords

Finite element methods; Plasticity; TRIP steels

Indexed keywords

ELASTOPLASTICITY; FERRITE; FINITE ELEMENT METHOD; INTEGRATION; MATHEMATICAL MODELS; TENSILE TESTING;

CONSTITUTIVE MODELING; FERRITIC MATRIX; TRANSFORMATION INDUCED PLASTICITY;

STEEL;

ELASTOPLASTICITY; FERRITE; FINITE ELEMENT METHOD; INTEGRATION; MATHEMATICAL MODELS; STEEL; TENSILE TESTING;

EID: 33744921668     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.09.026     Document Type: Article

References (46)

1. Aravas N. On the numerical integration of a class of pressure-dependent plasticity models. Int. J. Numer. Methods Engrg. 24 (1987) 1395-1416
2. Bridgman P.W. Studies in Large Plastic Flow and Fracture with Special Emphasis on the Effects of Hydrostatic Pressure (1952), McGraw-Hill Book Co.
3. Cherkaoui M., Berveiller M., and Sabar H. Micromechanical modeling of martensitic transformation induced plasticity (TRIP) in austenitic single crystals. Int. J. Plasticity 14 (1998) 597-626
4. Cherkaoui M., Berveiller M., and Lemoine X. Coupling between plasticity and martensitic phase transformation: overall behavior of polycrystalline TRIP steels. Int. J. Plasticity 16 (2000) 1215-1241
5. Diani J.M., Sabar H., and Berveller M. Micromechanical modelling of the transformation induced plasticity (TRIP) phenomenon in steels. Int. J. Engrg. Sci. 33 (1995) 1921-1934
6. Diani J.M., Soler M., Berveller M., and Sabar H. Elasto-plastic micro-macro modelling of solid-solid phase transformation: application to transformation induced plasticity. J. Phys. 5 (1995) C2-507-C2-512
7. Diani J.M., Berveller M., and Sabar H. Incremental micromechanical modelling of the transformation induced plasticity. J. Phys. 6 (1996) C1-419-C1-427
8. Fischer F.D. A micromechanical model for transformation plasticity in steels. Acta Metall. Mater. 38 (1990) 1535-1546
9. Fischer F.D. Transformation induced plasticity in triaxially loaded steel specimens subjected to a martensitic transformation. Eur. J. Mech. A/Solids 11 (1992) 233-244
10. Fischer F.D., Sun Q.-P., and Tanaka K. Transformation-induced plasticity (TRIP). Appl. Mech. Rev. 49 (1996) 317-364
11. Fischer F.D., Oberaigner E.R., Tanaka K., and Nishimura F. Transformation induced plasticity revised an updated formulation. Int. J. Solids Struct. 35 (1998) 2209-2227
12. Garion C., and Skoczen B. Modeling of plastic strain-induced martensitic transformation for cryogenic applications. J. Appl. Mech. 69 (2002) 755-762
13. Hadamard J. Leçons sur la propagation des ondes et les équations de l' hydrodynamique (1903), Libraire Scientifique A, Hermann, Paris
14. Han H.N., Lee C.G., Oh C.-S., Lee T.-H., and Kim S.-J. A model for deformation behavior and mechanically induced martensitic transformation of metastable austenitic steel. Acta Mater. 52 (2004) 5203-5214
15. Hibbitt H.D. ABAQUS/EPGEN-a general purpose finite element code with emphasis in nonlinear applications. Nucl. Engrg. Des. 7 (1977) 271-297
16. Hill R. Discontinuity relations in mechanics of solids. In: Sneddon I.N., and Hill R. (Eds). Progress in Solid Mechanics vol. II (1961), North-Holland Publishing Corporation, Amsterdam 247-276 (Chapter 6)
17. Hughes T.J.R. Generalization of selective integration procedures to anisotropic and nonlinear media. Int. J. Numer. Methods Engrg. 15 (1980) 1413-1418
18. Hughes T.J.R. The Finite Element Method (1987), Prentice-Hall, Englewood Cliffs, NJ
19. Hutchinson J.W., and Neal K.W. Sheet necking-III. Strain rate effects. In: Koistinen D.P., and Wang N.-M. (Eds). Mechanics of Sheet Metal Forming (1978), Plenum Press, New York-London 269-285
20. Hutchinson J.W., Neal K.W., and Needleman A. Sheet necking-I. Validity of plane stress assumptions of the long-wavelength approximation. In: Koistinen D.P., and Wang N.-M. (Eds). Mechanics of Sheet Metal Forming (1978), Plenum Press, New York-London 111-126
21. R.H. Léal, Transformation toughening of metastable austenitic steels, Ph.D. Thesis, MIT, 1984.
22. Leblond J.B., Mottet G., and Devaux J.C. A theoretical and numerical approach to the plastic behavior of steels during phase transformations-I. Derivation of general relations. J. Mech. Phys. Solids 34 (1986) 395-409
23. Leblond J.B., Mottet G., and Devaux J.C. 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 34 (1986) 410-432
24. Marciniak Z., and Kuczynski K. Limit strains in the process of stretch forming sheet metal. Int. J. Mech. Sci. 9 (1967) 609-620
25. Naturani T., Olson G.B., and Cohen M. Constitutive flow relations for austenitic steels during strain-induced martensitic transformation. J. Phys. 43 (1982) 247-257
26. Needleman A., and Tvergaard V. Limits to formability in rate-sensitive metal sheets. In: Carlsson J., and Ohlson N.G. (Eds). Mechanical Behavior of Materials vol. IV (1984), Pergamon Press, Oxford and New York, London 51-65
27. Olson G.B., and Cohen M. Kinetics of strain-induced martensitic nucleation. Metall. Trans. 6A (1975) 791-795
28. Olson G.B., and Cohen M. Stress-assisted isothermal martensitic transformation: application to TRIP steels. Metall. Trans. 13A (1982) 1907-1913
29. Optimization of Microstructure in Multiphase Steels Containing Retained Austenite, Final Report, ECSC Contract No. 7210-PR/161, European Commission, 2004.
30. I. Papatriantafillou, TRIP steels: constitutive modeling and computational issues, Ph.D. Thesis, University of Thessaly, 2005.
31. Ponte Castañeda P. The effective mechanical properties of nonlinear isotropic solids. J. Mech. Phys. Solids 39 (1991) 45-71
32. Ponte Castañeda P. New variational principles in plasticity and their application to composite materials. J. Mech. Phys. Solids 40 (1992) 1757-1788
33. Rice J.R. The localization of plastic deformation. In: Koiter W.T. (Ed). Proceedings of the 14th International Congress on Theoretical and Applied Mechanics (1977), North-Holland Publishing Corporation 207-220
34. Stringfellow R.G., Parks D.M., and Olson G.B. A constitutive model for transformation plasticity accompanying strain-induced martensitic transformation in metastable austenitic steels. Acta Metall. Mater. 40 (1992) 1703-1716
35. Suquet P. Overall properties of nonlinear composites: a modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure. C.R. Acad. Sci. Paris, II b 320 (1995) 563-571
36. Suquet P. Overall properties of nonlinear composites: Secant moduli theories and variational bounds. In: Markov K.Z. (Ed). Continuum Models and Discrete Systems, Proceedings of 8th International Symposium, 11-16 June, Varna, Bulgaria (1995), World Scientific Publishing Company 290-299
37. Suquet P. Overall properties of nonlinear composites: remarks on secant and incremental formulations. In: Pineau A., and Zaoui A. (Eds). Micromechanics of Plasticity and Damage of Multiphase Materials (IUTAM Symposium) (1996), Kluwer 149-156
38. Technical Steel Research: 'Modeling of mechanical properties and local deformation of high-strength multi-phase steels', Final Report, European Commission, Contract No. 7210-Pr/044, 2002.
39. Tvergaard V. Effect of kinematic hardening on localized necking in biaxially stretched sheets. Int. J. Mech. Sci. 20 (1978) 651-658
40. Tvergaard V. Bifurcation and imperfection sensitivity at necking instabilities. Zeits. Ang. Math. Mech. 60 (1980) T26-T34
41. Tvergaard V. On bifurcation and stability under elastic-plastic deformation. In: Sawczuk A., and Bianchi G. (Eds). Plasticity Today: Modelling, Methods and Applications (1985), Elsevier, London 377-398
42. Tvergaard V. Rate-sensitivity in elastic-plastic panel buckling. In: Dawe D.J., Horsington R.W., Kamtekar A.G., and Little G.H. (Eds). Aspects of the Analysis of Plate Structures, A Volume in Honor of W.H. Wittrick (1985), Clarendon Press, Oxford 293-308
43. Tvergaard V. Plasticity and creep at finite strains. In: Germain P., Piau M., and Caillerie D. (Eds). Proceedings of the 17th International Congress on Theoretical and Applied Mechanics (1989), North-Holland Publishing Corporation 349-368
44. Tvergaard V. Tensile instabilities at large strains. In: Nguyen Q.S. (Ed). Bifurcation and Stability of Dissipative Systems (1993), Springer-Verlag, Wien-New York 251-291
45. Videau J.-Ch., Cailletaud G., and Pineau A. Modélisation des effets mécaniques des transformations de phases pour le calcul de structures. J. Phys. IV 4 (1994) C3-227-C3-232
46. Willis J.R. Elasticity theory of composites. In: Hopkins H.G., and Sewell M.J. (Eds). Mechanics of Solids, The Rodney Hill 60th Anniversary Volume (1980), Pergamon Press 653-686