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Finite element modelling of woven composite failure modes at the mesoscopic scale: deterministic versus stochastic approaches

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Abstract

Textile composites are composed of 3D complex architecture. To assess the durability of such engineering structures, the failure mechanisms must be highlighted. Examinations of the degradation have been carried out thanks to tomography. The present work addresses a numerical damage model dedicated to the simulation of the crack initiation and propagation at the scale of the warp yarns. For the 3D woven composites under study, loadings in tension and combined tension and bending were considered. Based on an erosion procedure of broken elements, the failure mechanisms have been modelled on 3D periodic cells by finite element calculations. The breakage of one element was determined using a failure criterion at the mesoscopic scale based on the yarn stress at failure. The results were found to be in good agreement with the experimental data for the two kinds of macroscopic loadings. The deterministic approach assumed a homogeneously distributed stress at failure all over the integration points in the meshes of woven composites. A stochastic approach was applied to a simple representative elementary periodic cell. The distribution of the Weibull stress at failure was assigned to the integration points using a Monte Carlo simulation. It was shown that this stochastic approach allowed more realistic failure simulations avoiding the idealised symmetry due to the deterministic modelling. In particular, the stochastic simulations performed have shown several variations of the stress as well as strain at failure and the failure modes of the yarn.

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Authors and Affiliations

  1. MAT - Centre des Matériaux, CNRS UMR 7633, MINES ParisTech, PSL Research University, BP 87, 91003, Evry, France

    Q. Roirand, D. Missoum-Benziane, A. Thionnet & L. Laiarinandrasana

  2. Département IEM, UFR des Sciences Et Techniques, Université de Bourgogne / Mirande, BP 47870, 21078, Dijon, France

    A. Thionnet

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  1. Q. Roirand
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  2. D. Missoum-Benziane
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  3. A. Thionnet
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  4. L. Laiarinandrasana
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Correspondence to Q. Roirand.

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Communicated by Andreas Öchsner.

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Roirand, Q., Missoum-Benziane, D., Thionnet, A. et al. Finite element modelling of woven composite failure modes at the mesoscopic scale: deterministic versus stochastic approaches. Continuum Mech. Thermodyn. 29, 1081–1092 (2017). https://doi.org/10.1007/s00161-017-0553-2

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