Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
type: Item
instance of: scholarly article
title: Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
zbMATH Open document ID: 1033.74005
DOI: 10.1016/S0020-7683(02)00458-4
author: Jörg Schröder
author: Patrizio Neff
published in: International Journal of Solids and Structures
publication date: 2003-06-17T00:00:00Z
review text: The paper presents a formulation of phenomenological strain energies for anisotropic hyperelastic materials at finite strain. The authors are interested in generating polyconvex strain energies. The anisotropy classes considered are transverse isotropy and orthotropy. The authors focus their attention on consititutive issues rather than on existence theorems, and therefore there is no discussion on the necessary growth conditions to ensure the existence; see [\textit{J. M. Ball}, Arch. Ration. Mech. Anal. 63, 337--403 (1977; Zbl 0368.73040)]. Some numerical examples are provided. Comparison with experimental data is missing.
reviewed by: Giuseppe Saccomandi
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 1929338
zbMATH Keywords: anisotropic hyperelasticity
zbMATH Keywords: finite strain
zbMATH Keywords: polyconvex strain energies
zbMATH Keywords: orthotropy
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1929338