A class of plastic constitutive equations with vertex effect. II. Dicussions on the simplest form
type: Item
instance of: scholarly article
title: A class of plastic constitutive equations with vertex effect. II. Dicussions on the simplest form
zbMATH Open document ID: 0621.73036
DOI: 10.1016/0020-7683(85)90046-0
author: Manabu Gotoh
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: The rigid-plastic constitutive equation and its inverse expression, and elastoplastic constitutive equation and its inverse expression are derived from a class of plastic constitutive equations developed in part I [see the review above (Zbl 0621.73035)]. An expression for half angle of the vertexed cone of loading surface in terms of the length of plastic strain path is derived. Discussions for plane stress-state are presented. Numerical examples to examine the material behavior are provided. The appearance of delay phenomenon in the direction of stress and its quick recovery after the corner, drop in the stress-strain curve at the corner, is established. A comparison of the results from the present theory vis-a- vis \(J_ 2\)-flow theory is also furnished.
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 4007816
zbMATH Keywords: simple shearing
zbMATH Keywords: rigid-plastic constitutive equation
zbMATH Keywords: inverse expression
zbMATH Keywords: elastoplastic constitutive equation
zbMATH Keywords: plane stress-state
zbMATH Keywords: delay phenomenon
reviewed by: Vinod K. Arya
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90046-0
OpenAlex ID: W2067881994
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description: scientific article; zbMATH DE number 4007816