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Lagrangian formulation of Hencky's hyperelastic material

S. N. Korobeinikov, A. A. Oleinikov

2011, issue 2, Ñ. 155–180

New representation of the fourth order elasticity tensor for Hencky's hyperelastic isotropic material is obtained. Compactness of this representation is followed by use of eigenprojections of the right Cauchy – Green strain tensor. It is shown that the obtained elasticity tensor possesses both minor symmetries, and the major symmetry.

isotropic hyperelasticity, Hencky's material, elasticity tensor, eigenprojections

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