Elastostatics in the presence of a temperature distribution or inhomogeneity
type: Item
instance of: scholarly article
title: Elastostatics in the presence of a temperature distribution or inhomogeneity
zbMATH Open document ID: 0763.73006
DOI: 10.1007/BF00916422
author: Qi Tang
author: J. M. Ball
author: P. K. Jimack
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1993-02-14T00:00:00Z
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 109121
zbMATH Keywords: linearization
zbMATH Keywords: small parameter
zbMATH Keywords: implicit function theorem
zbMATH Keywords: stored-energy functions
zbMATH Keywords: exact solution
zbMATH Keywords: minimization of the energy
zbMATH Keywords: finite-element algorithm
MaRDI profile type: Publication
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
cites work: Differentiability properties of isotropic functions
cites work: Fine phase mixtures as minimizers of energy
cites work: Lyapunov functions for thermomechanics with spatially varying boundary temperatures
cites work: Quasiconvexity at the boundary, positivity of the second variation and elastic stability
cites work: One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
cites work: Another Approach to Liouville Theorem
cites work: Symmetry and bifurcation in three-dimensional elasticity. I
cites work: Symmetry and bifurcation in three-dimensional elasticity. II
cites work: Q4162607
cites work: Q4039741
cites work: Q3962552
cites work: \(p\)-harmonic tensors and quasiregular mappings
cites work: Q3335096
cites work: A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity
cites work: Q3950129
cites work: Liouville's theorem on conformal mappings for minimal regularity assumptions
cites work: Un teorema di esistenza ed unicità relativo alle equazioni dell'elastostatica isoterma per deformazioni finite
cites work: Sulla sviluppabilità in serie di potenze di un parametro delle soluzioni delle equazioni dell'elastostatica isoterma
cites work: Sull'esistenza di soluzioni delle equazioni dell'elastostatica isoterma nel caso di sollecitazioni dotate di assi di equilibrio. I-III
cites work: An expression for transient thermal stress in a nonhomogeneous plate with temperature variation through thickness
cites work: Q4480721
cites work: Q4039724
cites work: Symmetry and bifurcation in three-dimensional elasticity
cites work: Q3706042
cites work: Energy minimizers in nonlinear elastostatics and the implicit function theorem
full work available at URL: https://doi.org/10.1007/bf00916422
OpenAlex ID: W2068091258
description: scientific article; zbMATH DE number 109121