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CARACTERISATION DES MATERIAUX HYPERELASTIQUES INCOMPRESSIBLES PAR LA METHODE DE L'ALGORITHME GENETIQUE

Abstract : In This work, we characterized hyperelastic isotropic and incompressible materials using genetic algorithm. This method has allowed us to optimize the parameters of the hyperelastic models of energy to describe the behavior of rubbery materials in great deformation and great displacement.This method of optimization is implemented in the interactive mode in the Matlab software. It is composed of four large operators: selection, crossing-over, mutation, and elitism.The setting-up of this algorithm in the optimization of the rheological parameters is the first original contribution of this work. To study the relevance of the algorithm, comparisons were carried out with the following methods: least squares method, Beda-Chevalier method, Leventberg-Marquardt method, Pattern Search algorithm method. The second originality of this work is the construction of a new hyperelastic energy density that isisotropic, incompressible and phenomenological. The study of the relevance of the model proposed is accompanied by the comparisons with the models existing (Ogden, Beda (2007), Boyce and Arruda, Nguessong et al, Gornet et al, and Pucci-Saccomandi) on their capacity to reproduce the experimental data available in the literature. At the exit of this comparison, it arises that the model suggested is best adapted to reproduce the experimental curve of Treloar in simple tension, biaxial tension and pure shear with the same set of parameters.
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https://tel.archives-ouvertes.fr/tel-02937256
Contributor : Blaise Bale Baidi <>
Submitted on : Tuesday, September 15, 2020 - 10:32:03 PM
Last modification on : Wednesday, September 23, 2020 - 5:52:13 PM

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Blaise Bale Baidi. CARACTERISATION DES MATERIAUX HYPERELASTIQUES INCOMPRESSIBLES PAR LA METHODE DE L'ALGORITHME GENETIQUE. Mécanique des matériaux [physics.class-ph]. Université de Maroua (Cameroun), 2020. Français. ⟨tel-02937256⟩

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