Details:
Title  A new constructive method using the theory of invariants to obtain material behavior laws  Author(s)  Martin R. Albrecht, A. Thionnet  Type  Article in Journal  Abstract  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 Sinvariant polynomials of V. Then, using the Grœbner basis concept, we write all the decompositions of a polynomial of a given degree.  Keywords  Anisotropic material, Constitutive behavior law, Theory of invariants  ISSN  00207683 
URL 
http://www.sciencedirect.com/science/article/pii/S0020768305002854 
Language  English  Journal  International Journal of Solids and Structures  Volume  43  Number  2  Pages  325  345  Year  2006  Edition  0  Translation 
No  Refereed 
No 
