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Hyperelastic Materials Possessing Rotational Symmetry

[+] Author and Article Information
Nelson Achcar

Department of Structures and Foundation Engineering, Escola Politécnica da Universidade de São Paulo, CP 61548, São Paulo SP Brazil

Appl. Mech. Rev 48(11S), S19-S24 (Nov 01, 1995) doi:10.1115/1.3005072 History: Online April 29, 2009

Abstract

A representation theorem for the strain energy density function of a material possessing rotational symetry in a given direction (the weakest type of transverse isotropy) is presented. From this result, constitutive equations for hyperelastic unconstrained and incompressible materials that possess this kind of symmetry are derived.

Copyright © 1995 by The American Society of Mechanical Engineers
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