Small deformations superposed on large deformations of an elastic-plastic material
type: Item
instance of: scholarly article
title: Small deformations superposed on large deformations of an elastic-plastic material
zbMATH Open document ID: 0532.73004
DOI: 10.1016/0020-7683(83)90083-5
author: P. M. Naghdi
author: James Casey
published in: International Journal of Solids and Structures
publication date: 1983-01-01T00:00:00Z
review text: In this relatively long, rigorous and thorough paper the authors develop the title theory and exhibit its principal features. This treatment differs from a similar treatment of the problem which came earlier [the authors, Arch. Ration. Mech. Anal. 76, 355-391 (1981; Zbl 0498.73005)] in that (1) it allows for previous loadings and unloadings, (2) it utilizes strain, not stress, space in the plastic formulation, (3) comprehensive kinematic assumptions are adopted which differ from the preceeding paper, and (4) the theory is properly invariant under finite rigid motions. Of interest to specialists in the field.
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 3845130
zbMATH Keywords: purely mechanical rate-type theory
zbMATH Keywords: strain space formulation
zbMATH Keywords: motions superposed on any given motion of elastic-plastic material
zbMATH Keywords: all forms of elastic-plastic deformation
zbMATH Keywords: loading
zbMATH Keywords: unloading
zbMATH Keywords: loading conditions change due to superposed motion
zbMATH Keywords: infinitesimal theory properly invariant under arbitrary finite superposed rigid motions
MaRDI profile type: Publication
full work available at URL: 0020-7683(83)90083-5
OpenAlex ID: W2012045022
description: scientific article; zbMATH DE number 3845130