On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids

The possibility of linear elasticity in elastic solids is examined with regard to an infinitesimal theory based on a genuinely linear response function which retains its validity even for finite deformations. It is concluded that an exact linear constitutive theory for elastic solids is impossible....

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Bibliographic Details
Published inJournal of elasticity Vol. 9; no. 1; pp. 83 - 89
Main Authors Fosdick, R. L., Serrin, J.
Format Journal Article
LanguageEnglish
Published 01.01.1979
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