Improving the reliability of material databases using multiscale approaches |
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Authors: | Y. Rollet,M. Bonnet,N. Carrè re,F.-H. Leroy,J.-F. Maire |
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Affiliation: | 1. Office National d’Etudes et Recherches Aérospatiales, 29 avenue de la division Leclerc, 92322 Châtillon Cedex, France;2. Laboratoire de Mécanique des Solides, CNRS UMR 7649, Ecole Polytechnique, 91128 Palaiseau Cedex, France |
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Abstract: | This article addresses the propagation of constitutive uncertainties between scales occurring in the multiscale modelling of fibre-reinforced composites. The amplification of such uncertainties through upward or downward transitions by a homogenisation model is emphasized and exemplified with the Mori–Tanaka model. In particular, the sensitivity to data uncertainty in the inverse determination of constituent parameters based on downward transitions is stressed on an example. Then a database improvement method, which exploits simultaneously the available information on constitutive uncertainties at all scales instead of just propagating those associated with one scale, is presented and shown to yield substantial reductions in uncertainty for both the constitutive parameters and the response of structures. The latter finding is demonstrated on two examples of structures, with significant gains in confidence obtained on both. |
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Keywords: | A. Probabilistic methods B. Mechanical properties Computational mechanics |
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