Variational principles for nonlinear elastostatics in Eulerian coordinates
type: Item
instance of: scholarly article
title: Variational principles for nonlinear elastostatics in Eulerian coordinates
zbMATH Open document ID: 0786.73093
DOI: 10.1016/0021-8928(91)90035-S
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-07T00:00:00Z
review text: A stationary principle is formulated for static problems in nonlinear elasticity theory with the body boundary specified for the deformed state. Assuming material homogeneity, potential energy and complementary energy functionals are constructed for specified boundary conditions, together with Hu-Washizu and Tonti type functionals.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 500770
zbMATH Keywords: Hamilton-Ostrogradskij principle
zbMATH Keywords: stationary principle
zbMATH Keywords: material homogeneity
zbMATH Keywords: potential energy
zbMATH Keywords: complementary energy
author: L. M. Zubov
MaRDI profile type: Publication
cites work: Q3846827
cites work: Q3040621
cites work: Q4743816
cites work: The stationary principle of complementary work in non-linear theory of elasticity
cites work: Variational principles of the nonlinear theory of elasticity
cites work: The representation of the displacement gradient of isotropic elastic body in terms of the Piola stress tensor
full work available at URL: 0021-8928(91)90035-s
OpenAlex ID: W1964921741
description: scientific article; zbMATH DE number 500770