A class of plastic constitutive equations with vertex effect. I. General theory
type: Item
instance of: scholarly article
title: A class of plastic constitutive equations with vertex effect. I. General theory
zbMATH Open document ID: 0621.73035
DOI: 10.1016/0020-7683(85)90045-9
author: Manabu Gotoh
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: Assuming a one-to-one correspondence between the stress and strain increments, a class of plastic constitutive equations with vertex effect and satisfying mathematical restrictions about tensor functions, is proposed. The theory is extended to include the initial and subsequent general anisotropy of the material. Using the natural time-measure, the time-dependent inelastic (creep/viscoelasticity) constitutive equations are derived. The use of both, the natural and internal time-dependent measures, is made to formulate the constitutive equations for viscoplasticity. Special forms of the constitutive equations for time- independent and time-dependent cases are also presented.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 4007815
zbMATH Keywords: vertex-hardening model
zbMATH Keywords: initially isotropic
zbMATH Keywords: anisotropic with deformation
zbMATH Keywords: Wang's representation theorem on isotropic tensor functions
zbMATH Keywords: initial anisotropy
zbMATH Keywords: kinematic hardening
zbMATH Keywords: kinematic-isotropic hardening
zbMATH Keywords: general anisotropic hardening
zbMATH Keywords: one-to-one correspondence
zbMATH Keywords: stress and strain increments
zbMATH Keywords: class of plastic constitutive equations
zbMATH Keywords: vertex effect
zbMATH Keywords: general anisotropy
zbMATH Keywords: natural time-measure
zbMATH Keywords: time-dependent inelastic (creep/viscoelasticity) constitutive equations
zbMATH Keywords: internal time- dependent measures
zbMATH Keywords: time-independent
reviewed by: Vinod K. Arya
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90045-9
OpenAlex ID: W1989850938
description: scientific article; zbMATH DE number 4007815