Constitutive Modeling of Creep and Damage Behaviors of the Non-Mises Type for a Class of Polycrystalline Metals

Abstract

Phenomenological constitutive models to describe the creep and damage behaviors that deviate from the von Mises type for a class of polycrystalline materials are developed. Theoretical and empirical approaches are taken to the formulation. The effective stresses that govern the rates of creep and damage are scaled to describe any deviation from the response of the von Mises type. A general form of scaling parameter is proposed which can consider the hydrostatic stress and/or the third invariant of the stress deviator. A kinematic hardening model is first formulated on the basis of irreversible thermodynamics using the scaling parameters for creep and damage. Then, two kinds of empirical basis models are presented for cases of kinematic hardening and isotropic hardening, respectively. The proposed models can describe the primary, secondary and tertiary creep behaviors and distinguish between the creep and damage behaviors under different modes of loading. To illustrate the features of the proposed models, numerical simulations of the unequal creep behaviors under tension, compression, and torsion are carried out and compared with experimental results.

Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions

“…The realistic behavior of initially isotropic materials under discussion is similar to the creep deformation and creep damage development in an aluminum alloy AK4-1T at the temperature of 200 • C, which has been discussed by many authors [6,8,10,20,23,[27][28][29][30][31][32][33][34][35][36][37].…”

Analysis of creep deformation and creep damage in thin-walled branched shells from materials with different behavior in tension and compression

“…Obviously, it is necessary to have the results of three series of the creep tests (uniaxial tension, uniaxial compression and pure torsion) to describe the creep deformation of an aluminum alloy AK4-1T at 473 K up to creep rupture. Note that the creep behavior of this light alloy has been broadly discussed by Altenbach et al (1995), Altenbach and Zolochevsky (1991), Betten (2002), Betten et al (1998Betten et al ( , 1999Betten et al ( , 2003, Kawai (2002), Mahnken (2003), Tsvelodub (1991), Voyiadjis and Zolochevsky (2000), Zolochevskii (1982), Zolochevsky (1982Zolochevsky ( , 1991, Zolochevsky and Obataya (2001), and Zolochevsky and Voyiadjis (2005).…”

Modeling of Creep for Structural Analysis

“…Below we discuss a generalized creep potential, proposed in [12]. In the case of creep, different equivalent stress expressions are summarized in [163]. The 6 unknown parameters in this law can be identified by some basic tests.…”