A plasticity theory without Drucker's postulate, suitable for granular materials
type: Item
instance of: scholarly article
title: A plasticity theory without Drucker's postulate, suitable for granular materials
zbMATH Open document ID: 0564.73091
DOI: 10.1016/0022-5096(85)90012-2
published in: Journal of the Mechanics and Physics of Solids
publication date: 1985-01-01T00:00:00Z
review text: A plasticity theory is introduced which starts with a dilatancy rule and a function of plastic strain rates which represents the energy dissipated during plastic deformation. Yield surfaces and flow rules are then derived using energy conservation and the theory of envelopes. This method allows valid plasticity theories to be derived for frictional materials, but gives results for non-frictional materials which are identical to those of the classical theories. A dissipation function which includes deformation by granule rearrangement and granule distortion is presented and used to obtain a range of yield surfaces and flow rules, which are similar to those used in the critical state theory of soil mechanics. The microstructural features which may control the governing parameters of the dissipation functions are discussed.
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 3900318
zbMATH Keywords: dilatancy rule
zbMATH Keywords: function of plastic strain rates
zbMATH Keywords: energy dissipated
zbMATH Keywords: plastic deformation
zbMATH Keywords: Yield surfaces
zbMATH Keywords: flow rules
zbMATH Keywords: energy conservation
zbMATH Keywords: theory of envelopes
zbMATH Keywords: frictional materials
zbMATH Keywords: non-frictional materials
zbMATH Keywords: granule rearrangement
zbMATH Keywords: granule distortion
zbMATH Keywords: microstructural features
author: H. W. Chandler
MaRDI profile type: Publication
full work available at URL: 0022-5096(85)90012-2
OpenAlex ID: W2080356999
cites work: Soil mechanics and plastic analysis or limit design
cites work: The growth of slip surfaces in the progressive failure of over-consolidated clay
cites work: Q5633720
cites work: Q3927181
description: scientific article; zbMATH DE number 3900318