Separated représentations for th multiscale simulation of the mechanical behavior and damages of composite materials.

Abstract : Separated representations for the multiscale simulation of the mechanicalbehavior and damages of composite materials.Abstract: The development of efficient simulations for composite structures is very challengingdue to the multiscale nature and the complex damage process of this materials. When usingstandard 3D discretization techniques with advanced models for large structures, the computationalcosts are generally prohibitive.In this thesis, a new strategy based on a separated represenation of the solution is explored todevelop a computationally efficient and reliable numerical framework for the analysis of damagesin laminated composites subjected to quasi-static and dynamic loading. The PGD (Proper GeneralizedDecomposition) is used to build the solution.To treat damage, and especially delamination, a cohesive zone model has been implemented inthe PGD solver. A novel multiscale approach is also proposed to compute the mechanical behaviorof composites with periodic microstructure. The idea is to separate two scales: the scaleof periodic pattern and the macroscopic scale. The PGD results have been compared with theresults obtained with the classcial finite element method. A close agreement is found between thetwo approach and the PGD has significantly reduced the model complexity.
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Sondes Metoui. Separated représentations for th multiscale simulation of the mechanical behavior and damages of composite materials.. Mechanics of materials [physics.class-ph]. Ecole nationale supérieure d'arts et métiers - ENSAM, 2015. English. ⟨NNT : 2015ENAM0049⟩. ⟨tel-01311101⟩

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