Modeling of deformation texture development based on rate independent crystal plasticity
type: Item
instance of: scholarly article
title: Modeling of deformation texture development based on rate independent crystal plasticity
zbMATH Open document ID: 0918.73022
DOI: 10.1016/S0749-6419(97)00001-6
published in: International Journal of Plasticity
publication date: 1999-08-19T00:00:00Z
review text: The authors derive constitutive equations for plastic strain and spin rates by using empiric correlations between the dislocation velocity and the shear stress on a slip system, and between the first one and the slip rate Burger's vector (density of mobile dislocation). The theory involves the Cauchy stress and the velocity gradient in a current configuration. A plastic potential is introduced as a function of stresses, and the constitutive equations are expressed through potential derivatives in the stress space. The authors express the yield condition by means of the introduced potential, and compare it with the criterion for stress prescribed by Schmid law. The yield surfaces are presented for different values of governing parameters, and are compared with Schmid and Mises criteria for cubic and orthorhombic lattices. For a critical constant stress the hardening rule contains a complete number of equations, including the equilibrium equation. Thus, the authors are able to predict reorientation paths during the extension of crystals. Some consequences are formulated: 1) in lattice coordinates the procedure is easy to implement; 2) for a material parameter \(n\) greater than 1,5 the results are similar to those based on the Schmid law, which agrees with experimental data for high stacking fault energy; 3) the materials with low s.f.e. can be described by the present model at small values of \(n\); 4) \(n\) can be defined for yield surfaces with rounded vertices. The results may be also extended to models with rolling, of Taylor and brass-copper type.
reviewed by: M. Mişicu
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 1076928
zbMATH Keywords: finite strain
zbMATH Keywords: dislocation velocity
zbMATH Keywords: slip rate Burger's vector
zbMATH Keywords: Cauchy stress
zbMATH Keywords: velocity gradient
zbMATH Keywords: plastic potential
zbMATH Keywords: yield condition
zbMATH Keywords: Schmid law
zbMATH Keywords: critical constant stress
zbMATH Keywords: hardening rule
zbMATH Keywords: reorientation paths
author: W. Gambin
author: Frederic Barlat
MaRDI profile type: Publication
full work available at URL: s0749-6419(97)00001-6
OpenAlex ID: W2025853294
Wikidata QID: Q126778394
description: scientific article; zbMATH DE number 1076928