On temperature rate terms for viscoplastic constitutive models with applications to high temperature materials

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 19-22, 2006, Pages 2411-2431

  Mücke, Roland ^a   Bernhardi, Otto Ernst ^b  

^a ALSTOM SWITZERLAND LTD   (Switzerland)

^b KARLSRUHE UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

Finite elements; High temperature materials; Material modeling; Non isothermal loading; Temperature rate; Viscoplasticity

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; HIGH TEMPERATURE ENGINEERING; MATHEMATICAL MODELS; TEMPERATURE; THERMOMECHANICAL TREATMENT;

HIGH TEMPERATURE MATERIALS; MATERIAL MODELING; NON-ISOTHERMAL LOADING; TEMPERATURE RATE;

VISCOPLASTICITY;

COMPUTER SIMULATION; FINITE ELEMENT METHOD; HIGH TEMPERATURE ENGINEERING; MATHEMATICAL MODELS; TEMPERATURE; THERMOMECHANICAL TREATMENT; VISCOPLASTICITY;

EID: 33644586006     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.05.021     Document Type: Article

References (33)

1. Abaqus, Theory Manual Version 6.4, Hibbitt, Karlsson & Sorensen Inc., 2003.
2. P.J. Armstrong, C.O. Frederick, A mathematical representation of multiaxial Bauschinger effect, C.E.G.B. Report RD/B/N731, Berkeley Nuclear Laboratories, Berkeley, 1966.
3. A. Benallal A.B. Cheikh Constitutive equations for an isothermal elasto-viscoplasticity C.S. Desai et. al. Constitutive Laws for Engineering Materials, Theory and Applications 1987 Elsevier Science Publishing Co. Amsterdam 667-674
4. V.S. Bhattachar D.C. Stouffer Constitutive equations for the thermomechanical response of René 80: Part 1 - Development from isothermal data, Part 2 - Effects of temperature history ASME J. Engrg. Mater. Technol. 155 1993 351-364
5. S.R. Bodner Y. Partom Constitutive equations for elastic-viscoplastic strain-hardening materials ASME J. Appl. Mech. 42 1975 385-389
6. P.N. Brown G.D. Byrne A.C. Hindmarsh VODE, A variable coefficient ODE solver SIAM J. Sci. Statis. Comput. 10 1989 1038-1051
7. G.D. Byrne A.C. Hindmarsh A polyalgorithm for the numerical solution of ordinary differential equations ACM Trans. Math. Software 1 1975 71-96
8. J.L. Chaboche Time-independent constitutive theories for cyclic plasticity Int. J. Plastic. 2 1986 149-188
9. J.L. Chaboche Constitutive equations for cyclic plasticity and cyclic viscoplasticity Int. J. Plastic. 5 1989 247-302
10. J.L. Chaboche Unified cyclic viscoplastic constitutive equations: development, capabilities, and thermodynamic framework A.S. Krausz K. Krausz Unified Constitutive Laws of Plastic Deformation 1996 Academic Press Inc. New York
11. K.S. Chan U.S. Lindholm Inelastic deformation under nonisothermal loading ASME J. Engrg. Mater. Technol. 112 1990 15-25
12. K.S. Chan R.A. Page Inelastic deformation and dislocation structure of a nickel alloy: Effects of deformation and thermal histories Metall. Trans. 19A 1988 2477-2486
13. K. Ikegami Y. Niitsu Effects of complex loading on plastic deformation of stainless steel (SUS 304) at high temperature Nucl. Engrg. Des. 114 1989 355-364
14. M. Kojić Stress integration procedures for inelastic models within the finite element method ASME Appl. Mech. Rev. 55 4 2002 389-414
15. R. Kowalewski, Thermo-mechanical fatigue of a coated columnar grain nickel based superalloy, VDI Reihe 18, No. 212, VDI Verlag GmbH, Düsseldorf, 1997 (in German).
16. R. Kühner J. Aktaa Numerical and experimental investigations of temperature-rate terms in modeling the inelastic material behavior K.-T. Rie P.D. Portella Low Cycle Fatigue and Elastio-plastic Behavior of Materials, Conference Proceeding Garmisch-Partenkirchen, Germany, 7-11 September 1998 1998 Elsevier Amsterdam 641-646
17. R. Kühner, J. Aktaa, L. Angarita, K.-H. Lang, The role of temperature rate terms in viscoplastic modelling: Theory and experiments, in: H. Sehitoglu, H.J. Maier (Eds.) Thermomechanical Fatigue Behavior of Materials, vol. 3, ASTM STP, West Conshohocken, PA, USA, 2000, pp. 103-115.
18. D.L. McDowell A nonlinear kinematic hardening theory for cyclic thermoplasticity and thermoviscoplasticity Int. J. Plastic. 8 1992 695-728
19. A.K. Miller The MATMOD equations A.K. Miller Unified Constitutive Equations for Creep and Plasticity 1987 Elsevier Applied Science Amsterdam 139-219
20. V. Moreno E.H. Jordan Prediction of material thermomechanical response with a unified viscoplastic constitutive model Int. J. Plastic. 2 1986 223-245
21. S. Murakami M. Kawai Y. Ohmi Effects of amplitude history and temperature history on multiaxial cyclic behavior of type 316 stainless steel ASME J. Engrg. Mater. Technol. 111 1989 278-285
22. N. Ohno Recent topics in constitutive modeling of cyclic plasticity and viscoplasticity ASME Appl. Mech. Rev. 43 11 1990 283-295
23. V.G. Ramaswamy D.C. Stouffer J.H. Laflen A unified constitutive model for the inelastic uniaxial response of René 80 at temperatures between 538C and 982C ASME J. Engrg. Mater. Technol. 112 1990 280-286
24. D.N. Robinson, A unified creep-plasticity model for structural metals at high temperatures, ORNL Report TM-5969, Oak Ridge National Laboratory, 1978.
25. D.N. Robinson, R.W. Swindeman, Unified creep-plasticity constitutive equations for 2-1/4Cr-1Mo steel at elevated temperature, ORNL Report TM-8444, Oak Ridge National Laboratory, 1982.
26. D.N. Robinson, P.A. Bartolotta, Viscoplastic constitutive relationships with dependence on thermomechanical history, NASA report CR-174836, 1985.
27. D.N. Robinson Constitutive relationships for anisotropic high-temperature alloys Nucl. Engrg. Des. 83 1984 389-396
28. Y. Tamarin Protective Coatings for Turbine Blades 2002 ASM International
29. K.P. Walker, Research and development program for nonlinear structural modeling with advanced time-temperature dependent constitutive relationships, NASA Report CR-165533.
30. 3Al ASME J. Engrg. Mater. Technol. 117 1995 478-482
31. X.J. Yang Constitutive description of temperature-dependent nonproportional cyclic viscoplasticity ASME J. Engrg. Mater. Technol. 119 1997 12-19
32. H. Ziegler A modification of Prager's hardening rule Quart. Appl. Math. 17 1959 55-65
33. O.C. Zienkiewicz R.L. Taylor The finite element method: Solid and Fluid Mechanics Dynamics and Non-linearity vol. 2, fourth ed. 1991 McGraw-Hill book Company New York