A generalisation of Ko's strain-energy function

An extension of Ko's strain-energy function for isotropic hyperelastic materials is presented. The implications of the Baker-Ericksen inequality, the strengthened tension-extension inequality and the ordered forces inequality are discussed. Particular consideration is given to the configuration...

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Bibliographic Details
Published inInternational journal of engineering science Vol. 26; no. 6; pp. 509 - 517
Main Authors Willson, A.J., Myers, P.J.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1988
Elsevier
Subjects
elasticity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
plates
Solid mechanics
Static elasticity (thermoelasticity...)
stress
Structural and continuum mechanics
Elastic material
Hyperelastic material
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Summary:An extension of Ko's strain-energy function for isotropic hyperelastic materials is presented. The implications of the Baker-Ericksen inequality, the strengthened tension-extension inequality and the ordered forces inequality are discussed. Particular consideration is given to the configuration of plane stress, and the dispersion equation governing the propagation of small-amplitude waves in a pre-stressed plate is obtained. Limiting solutions are derived for thin plates for both flexural and extensional modes. Numerical results are given for configurations of marginal stability.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7225
1879-2197
DOI:10.1016/0020-7225(88)90051-1