Nonlocal computational methods applied to composites structures
Résumé
A nonlocal finite element method is used to solve numerical problems appearing when a standard finite element method, coupled with a Newton-Raphson algorithm, is used to model the degradation of organic or ceramic matrix composites structures (OMC or CMC) even under simple solicitations (traction, flexion, ...). The main problem is related to instabilities and localisation, which lead to the divergence of the solver. In order to overcome these difficulties, a new method is developed. It consists in the use of nonlocal description of the material combined with an arc length algorithm. This ensures a good numerical conditioning which allows the parallelization (using a FETI method) of the calculations and therefore high performance computations.This set of tools allows to run 3D simulations in order to follow the initiation and the propagation of fracture in cases representative of industrial problems which require very fine meshes.
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