Generalized potential formulations for elastostatics of constitutively nonlinear structures under general loading
type: Item
instance of: scholarly article
title: Generalized potential formulations for elastostatics of constitutively nonlinear structures under general loading
zbMATH Open document ID: 0892.73042
DOI: 10.1016/S0020-7403(96)00066-5
published in: International Journal of Mechanical Sciences
publication date: 1998-08-12T00:00:00Z
review text: Extremum problem formulations are presented that are applicable for the equilibrium analysis of continuum structures made up of a non-specific, aeleotropic and inhomogeneous, constitutively nonlinear material. The formulations are described for linear deformation kinematics, and they amount to generalizations of the classical characterization in terms of potentials for elastostatics with nonlinear materials. In one case, a generalized version of the classical minimum potential energy formulation is obtained using a representation of total strain expressed as a linear composition of independent fields. The second formulation provides a generalized model of the classical complementary energy principle. Here total stress is expressed as a composition of independent fields, and there is a separable potential associated with each of these constituent fields.
Mathematics Subject Classification ID: 74K99
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
zbMATH DE Number: 1078708
zbMATH Keywords: variational formulation
zbMATH Keywords: generalized minimum potential energy formulation
zbMATH Keywords: generalized complementary energy principle
zbMATH Keywords: equilibrium analysis
zbMATH Keywords: linear deformation kinematics
zbMATH Keywords: total strain
zbMATH Keywords: total stress
author: John E. Taylor
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1078708