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

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 S-invariant polynomials of V. Then, using the Grœbner basis concept, we write all the decompositions of a polynomial of a given degree.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00157256
Contributor : Bibliothèque Umr7633 <>
Submitted on : Thursday, August 2, 2018 - 2:49:56 PM
Last modification on : Monday, November 12, 2018 - 11:04:58 AM

Links full text

Identifiers

Citation

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

Share

Metrics

Record views

169