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Article Dans Une Revue International Journal of Solids and Structures Année : 2006

A new constructive method using the theory of invariants to obtain material behavior laws

Résumé

The aim of this paper is to present a constructive method to derive mechanical behavior laws using the Theory of Invariants and Continuum Thermodynamics. More precisely, we want to construct, in a general way, the state or dissipation potential in a polynomial form given a set of variables V and the material symmetry group S. For this purpose, we show how to obtain a set of generators for the S-invariant polynomials of V. Then, using the Grœbner basis concept, we write all the decompositions of a polynomial of a given degree.

Dates et versions

hal-00157256 , version 1 (02-08-2018)

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Alain Thionnet, C. Martin. A new constructive method using the theory of invariants to obtain material behavior laws. International Journal of Solids and Structures, 2006, 43 (2), pp.325-345. ⟨10.1016/j.ijsolstr.2005.05.021⟩. ⟨hal-00157256⟩
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