Specific hardening function definition and characterization of a multimechanism generalized potential-based viscoelastoplasticity model

International Journal of Plasticity

Volumn 20, Issue 12, 2004, Pages 2111-2142

  Saleeb, A F ^a   Arnold, S M ^b  

^a The University of Akron   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

Correlations; Deformation; Isothermal; Multiaxial; Predictions; Viscoelasticity nonlinear hardening; Viscoplasticity

Indexed keywords

CREEP; HARDENING; MATHEMATICAL MODELS; RELAXATION PROCESSES; STRAIN; STRESSES; THERMODYNAMICS; VISCOSITY;

NONLINEAR HARDENING; NONLINEAR KINEMATICS; SATURATION VALUES;

ELASTOPLASTICITY;

EID: 3943092535     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2004.04.002     Document Type: Article

References (31)

1. Arnold S.M., Saleeb A.F. On the thermodynamic framework of generalized coupled thermoelastic viscoplastic-damage modeling. Int. J. Plasticity. 10(3):1994;263-278.
2. Arnold S.M., Saleeb A.F., Castelli M.G. A fully associative, non-linear kinematic, unified viscoplastic model for titanium-based matrices. Johnson W.S., Larsen J.M., Cox B.N. Life Prediction Methodology for Titanium Matrix Composite, ASTM STP 1253. 1994;231-256 American Society for Testing and Materials, Philadelphia. or NASA TM-106609.
3. Arnold, S.M., Saleeb, A.F., Castelli, M.G., 1994b. A fully associative,nonisothermal, nonlinear kinematic, unified viscoplastic model for titanium based matrices. In: Verrilli, M.J., Castelli, M.G. (Eds.), Thermomechanical Fatigue Behavior of Materials: Second Volume, ASTM STP 1263, Philadelphia, or NASA TM-106926.
4. Arnold S.M., Saleeb A.F., Wilt T.E. A modeling investigation of thermal and strain induced recovery and nonlinear hardening in potential based viscoplasticity. J. Eng. Mater. Tech. ASME. 117:1995;157-167.
5. Arnold, S.M., Saleeb, A.F., Castelli, M.G., 1997. A general reversible hereditary constitutive model: Part II: application to a titanium alloy, NASA TM 107494.
6. Arnold S.M., Saleeb A.F., Castelli M.G. A general time dependent constitutive model: Part II: Application to titanium alloy. J. Engng. Mater. Technol. ASME. 123:2001;65-73.
7. Arsenlis A., Parks D.M. Modeling the evolution of crystallographic dislocation density in crystal plasticity. J. Mech. Phys. Solids. 50:2002;1979-2009.
8. Chaboche J.L. Constitutive equations for cyclic viscoplasticity. Int. J. Plasticity. 5:1989;247-302.
9. Coleman B.D., Gurtin M.E. Thermodynamics with internal "state variables" J. Chem. Phys. 47(2):1967;597-613.
10. Freed A.D., Walker K.P. Viscoplasticity with creep and plasticity bounds. Int. J. Plasticity. 9:1993;213-242.
11. Hart E.W. Constitutive relations for nonelastic deformation of metals. J. Eng. Mater. Technol. 98:1976;193-202.
12. Hirth J.P., Lothe J. Theory of Dislocations. 1982;Wiley, New York.
13. Ho K., Kremple E. Extension of the Viscoplasticity Theory Based on Overstress (VBO) to capture non-standard rate dependence in solids. Int. J. Plastcity. 18:2002;851-872.
14. Hui C.Y. A uniformly valid asymptotic solution of Hart's equations for constant inelastic extensional strain rate. Int. J. Solids Struct. 21:1985;411-421.
15. Krausz A.S., Krausz K. Unified Constitutive Laws of Plastic Deformation. 1996;Academic Press, New York.
16. Krempl E. A small strain viscoplasticity theory based on overstress. Krausz A., Krausz K. Unified Constitutive Laws of Plastic Deformation. 1996;281-318 Academic Press, San Diego.
17. Krempl E., Khan F. Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers. Int. J. Plasticity. 19:2003;1069-1095.
18. Kumar V., Morjaria M., Mukherjee S. Numerical integration of some stiff constitutive models of inelastic deformation. J. Eng. Mater. Technol. 102:1980;92-96.
19. Lemaitre J., Chaboche J.L. Mechanics of Solid Materials. 1990;Cambridge University Press, New York.
20. Lubliner J. On the structure of rate equations of materials with internal variables. Acta Mech. 17:1973;109-119.
21. Robinson, D.N., 1987. A unified creep-plasticity model for structural metals at high temperatures. ORNL TM-5969.
22. Saleeb A.F., Wilt T.E. Analysis of the anisotropic viscoplastic-damage response of composite laminates-continuum basis and computational algorithms. Int. J. Numer. Meth. Eng. 36:1993;1629-1660.
23. Saleeb, A.F., Arnold, S.M., 1997. A general reversible hereditary constitutive model: Part I: theoretical developments, NASA TM-107493; also see J. Eng. Mater. Technol. 123 (2001) 51-64.
24. Saleeb, A.F., Arnold, S.M., 1997. A general reversible hereditary constitutive model: Part I: theoretical developments, NASA TM-107493; also see J. Eng. Mater. Technol. 123 (2001) 51-64.
25. Saleeb, A.F., Gendy, A.S., Wilt, T.E., Trowbridge, D.A., 1998. COMPARE - Constitutive Material Parameter Estimation, User's Guide - Version 1.0. Technical Report, Department of Civil Engineering, University of Akron, Akron, OH.
26. Saleeb A.F., Wilt T.E., Li W. An implicit integration scheme for generalized viscoplasticity with dynamic recovery. Comput. Mech. 21(6):1999;429-440.
27. Saleeb A.F., Arnold S.M., Castelli M.G., Wilt T.E., Graf W.E. A general hereditary multimechanism-based deformation model with application to the viscoelastoplastic response of titanium alloys. Int. J. Plasticity. 17(10):2001;1305-1350.
28. Saleeb A.F., Wilt T.E., Trowbridge D.A., Gendy A.S. Effective strategy for automated characterization in complex viscoelastoplastic and damage modeling for isotropic/anisotropic aerospace materials. J. Aerospace Eng. 15(3):2002;84-96.
29. Saleeb A.F., Wilt T.E., Al-Zoubi N.R., Gendy A.S. An anisotropic viscoelastoplastic model for composites - sensitivity analysis and parameter estimation. Composites B. 34:2003;21-39.
30. Stainier L., Cuitino A.M., Ortiz M. A micromechanical model of hardening, rate-sensitivity and thermal softening in bcc single crystals. J. Mech. Phys. Solids. 50:2002;1511-1545.
31. Zbib H.M., Rubia T.D. A multiscale model of plasticity. Int. J. Plasticity. 18:2002;1133-1163.