Comparison of heterogeneous configurations of tests in order to improve the identification of the orthotropic elastic behavior by the error in constitutive relation.
Résumé
The paper presents a comparison of four configurations of heterogeneous tests in order to optimize the identifiability of orthotropic material parameters of an elastic behavior. The technique of identification is based on minimization of an energy norm formulated on the basis of error in constitutive relation. This norm is based on variational principle. It exploits the experimental strains measurements obtained by an experimental technique and the strains calculated by finite element code. The problem of minimization is solved by a regularized algorithm : Levenberg-Marquardt. An analysis of sensitivity to the noises is carried out in order to illustrate the robustness and numerical stability. Two types of noise simulating the errors of measurement were tested : randomly distributed and systematic. It comes out from this study that the configuration of test noted complex geometry gives the best result of identification.