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A second order constitutive theory for hyperelastic materials

✍ Scribed by Anne Hoger

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
381 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis

The second order constitutive equation for a hyperelastic material with arbitrary symmetry is derived[ In developing a second order theory\ it is necessary to be discriminating in the choice of measures of defor! mation[ Here the derivation is done in terms of the Biot strain\ which has a direct physical interpretation in that its eigenvalues are the principal extensions of the deformation[ The constitutive equation is specialized for the cases of isotropy and transverse isotropy[ The isotropic equation derived here is compared with equations obtained by other authors in terms of the displacement gradient and the Green strain[

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