Study of plastic/viscoplastic models with various inelastic mechanisms

Abstract This paper describes a general framework for the development of plastic or viscoplastic constitutive equations. As the applications are focused on cyclic loadings, only small strains are considered, with an additive decomposition of the total strain into a thermo-elastic part, and several inelastic parts, the evolution of which is determined by several plastic or viscoplastic criteria. Quadratic or linear (crystallographic) criteria could be used, so that the approach is able to describe the contribution of several physical levels, or deformation mechanism, to the inelastic behavior. The present work is restricted to the case of quadratic criteria, and specially to the study of the various interactions which can be introduced between the mechanisms. The most important case is the coupling between kinematic hardening variables which allows to describe: (1) either normal rate sensitivity or inverse rate sensitivity; (2) plasticity-creep interaction; (3) ratcheting for high mean stress but either adaptation or plastic shakedown for lower mean stress.

[1]  J. Chaboche,et al.  Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel , 1979 .

[2]  Hans Lilholt,et al.  Constitutive Relations and Their Physical Basis , 1987 .

[3]  K. Sai.  Modeles a grand nombre de variables internes et methodes numeriques associees , 1993 .

[4]  G. Cailletaud.  Une approche micromecanique phenomenologique du comportement inelastique des metaux , 1987 .

[5]  J. Chaboche.  Constitutive equations for cyclic plasticity and cyclic viscoplasticity , 1989 .

[6]  C. E. Pugh,et al.  On establishing constitutive equations for use in design of high-temperature fast-reactor structures , 1978 .

[7]  Jean-Louis Chaboche,et al.  On some modifications of kinematic hardening to improve the description of ratchetting effects , 1991 .

[8]  Ahmed Benallal,et al.  Constitutive Equations for Nonproportional Cyclic Elasto-Viscoplasticity , 1987 .

[9]  J. Rice.  On the Structure of Stress-Strain Relations for Time-Dependent Plastic Deformation in Metals , 1970 .

[10]  G. Cailletaud,et al.  Intergranular and Transgranular Hardening in Viscoplasticity , 1991 .

[11]  G. Cailletaud,et al.  Description of creep-plasticity interaction with non-unified constitutive equations: application to an austenitic stainless steel , 1989 .

[12]  J. Chaboche,et al.  Viscoplastic constitutive equations for the description of cyclic and anisotropic behaviour of metals , 1977 .

[13]  N. Malinin,et al.  Theory of creep with anisotropic hardening , 1972 .

[14]  D. Marquis,et al.  On the description of cyclic hardening and initial cold working , 1985 .

[15]  G. Cailletaud.  A micromechanical approach to inelastic behaviour of metals , 1992 .

[16]  Alan D. Freed,et al.  Viscoplasticity with creep and plasticity bounds , 1993 .

[17]  Nobutada Ohno,et al.  Kinematic hardening rules with critical state of dynamic recovery, part II: Application to experiments of ratchetting behavior , 1993 .

[18]  J. Mandel.  Generalisation de la theorie de plasticite de W. T. Koiter , 1965 .

[19]  M. Kawai,et al.  Effects of Prior Creep on Subsequent Plasticity of Type 316 Stainless Steel at Elevated Temperature , 1983 .

[20]  Alan K. Miller,et al.  Unified constitutive equations for creep and plasticity , 1987 .

[21]  D. Marquis.  Phenomenologie et thermodynamique : couplages entre thermoelasticite, plasticite, vieillissement et endommagement , 1989 .

[22]  N. Ohno,et al.  Kinematic hardening rules with critical state of dynamic recovery, part I: formulation and basic features for ratchetting behavior , 1993 .

[23]  G. Inglebert,et al.  The effect of material behaviour law on the theoretical shot peening results , 1990 .

[24]  M. Kawai,et al.  Effects of Prior Plasticity on Subsequent Creep of Type 316 Stainless Steel at Elevated Temperature , 1986 .

[25]  S. Kyriakides,et al.  Ratcheting in cyclic plasticity, part II: Multiaxial behavior , 1992 .

[26]  A. Goodman.  Development of constitutive equations for computer analysis of stainless steel components , 1984 .