IJPAM: Volume 93, No. 6 (2014)
HYPERELASTIC CONSTRAINED MATERIALS
Department of Mathematics ``Giuseppe Peano''
University of Turin
Via Carlo Alberto 10, Turin, 10123, ITALY
Abstract. In this paper the second-order stress relations for hyperelastic internally constrained materials are derived, both for the Cauchy stress and the two Piola-Kirchhoff stresses. In our approach the constitutive equations are obtained by the corresponding finite constitutive equations by means of suitable expansions. In contrast to the classical approach, our method guarantees the accuracy required by a second-order theory. For incompressible isotropic materials explicit stress relations are derived and compared with those used in classical theory, in order to show that only our constitutive equations are accurate to second order of approximation.
Received: March 28, 2014
AMS Subject Classification: 74B20, 74A10
Key Words and Phrases: hyperelastic constrained materials, second-order stress relations
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DOI: 10.12732/ijpam.v93i6.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 813 - 833
This work is licensed under the Creative Commons Attribution International License (CC BY).