Abstract
A probabilistic multiscale framework is proposed to characterize the probabilistic behaviors of macroscopic elastic properties of multiphase composite materials. The first-order perturbation-based stochastic homogenization method is extended to incorporate inherent randomness existed in multiphase constituents materials on basis of our previous work for porous material. Moreover, a generalized stochastic method is introduced to combine above with morphological nonparametric uncertainties. A numerical example for coated particulate composite material demonstrated the feasibility and effectiveness of proposed methods.
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Wen, P., Takano, N. & Kurita, D. Probabilistic multiscale analysis of three-phase composite material considering uncertainties in both physical and geometrical parameters at microscale. Acta Mech 227, 2735–2747 (2016). https://doi.org/10.1007/s00707-016-1640-3
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DOI: https://doi.org/10.1007/s00707-016-1640-3