A new variational principle in linear elasticity
type: Item
instance of: scholarly article
title: A new variational principle in linear elasticity
zbMATH Open document ID: 0809.73080
DOI: 10.1016/0093-6413(94)90052-3
author: Haoyun Liang
published in: Mechanics Research Communications
publication date: 1995-04-04T00:00:00Z
review text: It is known that the rotation field can be determined uniquely except for a rigid-body rotation by the Kirchhoff stress tensor or the Jaumann stress tensor, if the corresponding stress compatibility condition is considered. Hence a type of variational principles in nonlinear theory of elasticity which involve only the stress field as the unique independent argument can be obtained. The counterpart of these principles in linear theory of elasticity is a new variational principle which differs from the classical complementary energy principle. Since the relation between stress and strain in linear theory is simple, in this paper we can write the explicit form of this principle and give a straightforward proof and some remarks.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 699160
zbMATH Keywords: rotation field
zbMATH Keywords: Kirchhoff stress tensor
zbMATH Keywords: Jaumann stress tensor
zbMATH Keywords: stress compatibility condition
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90052-3
OpenAlex ID: W1998290135
description: scientific article; zbMATH DE number 699160