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TitleA new constructive method using the theory of invariants to obtain material behavior laws
Author(s) Martin R. Albrecht, A. Thionnet
TypeArticle in Journal
AbstractThe 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.
KeywordsAnisotropic material, Constitutive behavior law, Theory of invariants
URL http://www.sciencedirect.com/science/article/pii/S0020768305002854
JournalInternational Journal of Solids and Structures
Pages325 - 345
Translation No
Refereed No