Non-local coupling of viscoplasticity and anisotropic viscodamage for impact problems using the gradient theory

Voyiadjis, G. Z.; Abu Al-Rub, R. K.; Palazotto, A. N.

Artykuł - szczegóły

Tytuł artykułu

Non-local coupling of viscoplasticity and anisotropic viscodamage for impact problems using the gradient theory

Autorzy

Voyiadjis G. Z. , Abu Al-Rub R. K. , Palazotto A. N.

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Abstrakty

A general framework for the analysis of heterogeneous media that assesses a strong coupling between viscoplasticity and anisotropic viscodamage evolution is formulated for-impact related problems within the framework of thermodynamic laws and nonlinear continuum mechanics. The proposed formulations include thermo-elasto-viscoplastici- ty with anisotropic thermo-elasto-viscodamage, a dynamic yield criterion of a von Mises type and a dynamic viscodamage criterion, the associated flow rules, non-linear strain hardening, strain-rate hardening, and temperature softening. The constitutive equations for the damaged material are written according to the principle of strain energy equivalence between the virgin material and the damaged material. That is, the damaged material is modeled using the constitutive laws of the effective undamaged material in which the nominal stresses are replaced by the effective stresses. The evolution laws are impeded in a finite deformation framework based on the multiplicative decomposition of the deformation gradient into elastic, viscoplastic, and viscodamage parts. Since the material macroscopic thermomechanical response under high-impact loading is governed by different physical mechanisms on the macroscale level, the proposed three-dimensional kinematical model is introduced with manifold structure accounting for discontinuous fields of dislocation interactions (plastic hardening), and crack and void interactions (damage hardening). The non-local theory of viscoplasticity and viscodamage that incorporates macroscale interstate variables and their higher-order gradients is used here to describe the change in the internal structure and in order to investigate the size effect of statistical inhomogeneity of the evolution-related viscoplasticity and viscodamage hardening variables. The gradients are introduced here in the hardening internal state variables and are considered to be independent of their local counterparts. It also incorporates the thermomechanical coupling effects as well as the internal dissipative effects through the rate-type covariance constitutive structure with a finite set of internal state variables. The model presented in this paper can be considered as a framework, which enables one to derive various non-local and gradient viscoplasticity and viscodamage theories by introducing simplifying assumptions.

Słowa kluczowe

non-local theory anisotropic viscodamage viscoplasticity gradient theory heterogeneous media

Wydawca

Instytut Podstawowych Problemów Techniki PAN

Czasopismo

Archives of Mechanics

Rocznik

2003

Tom

Vol. 55, nr 1

Strony

39--89

Opis fizyczny

Bibliogr. 111 poz., rys.

Twórcy

autor

Voyiadjis G. Z.

Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA 70803, USA

autor

Abu Al-Rub R. K.

Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA 70803, USA

autor

Palazotto A. N.

Department of Aerospace Engineering, Air Force Institute of Technology, WPAFB, OH 45433-7765, USA

Bibliografia

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