Universal deformations of a compressible transversely isotropic body
type: Item
instance of: scholarly article
title: Universal deformations of a compressible transversely isotropic body
zbMATH Open document ID: 0637.73013
published in: Moscow University Mechanics Bulletin
publication date: 1987-01-01T00:00:00Z
review text: A deformation is called universal if the displacements satisfy equilibrium equations of hyperelasticity (that is of existence of an elastic potential). \textit{J.-L. Ericksen} [J. Math. Phys. 34, 126-128 (1955; Zbl 0064.421)] proved that a compressed transversally isotropic medium has a universal solution if and only if a transformation of initial shape (of a bounded body) into the final shape is affine. The author offers a short proof of this property for a transversally isotropic anisotropic body.
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4039396
zbMATH Keywords: universal deformation
zbMATH Keywords: equilibrium equations
zbMATH Keywords: hyperelasticity
zbMATH Keywords: transversally isotropic anisotropic body
author: Ade Akinola
reviewed by: Vadim Komkov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4039396