Computational stochastic homogenization of heterogeneous media from an elasticity random field having an uncertain spectral measure.

Soize, Christian

This paper presents the computational stochastic homogenization of a heterogeneous 3D-linear anisotropic elastic microstructure that cannot be described in terms of constituents at microscale, as live tissues. The random apparent elasticity field at mesoscale is then modeled in a class of non-Gaussian positive-definite tensor-valued homogeneous random fields. We present an extension of previous works consisting of a novel probabilistic model to take into account uncertainties in the spectral measure of the random apparent elasticity field. A probabilistic analysis of the random effective elasticity tensor at macroscale is performed as a function of the level of spectrum uncertainties, which allows for studying the scale separation and the representative volume element size in a robust probabilistic framework.

ELASTICITY; RANDOM measures; PROBABILISTIC number theory; RANDOM fields; MICROSTRUCTURE

Computational Mechanics, 2021, Vol 68, Issue 5, p1003

0178-7675

Academic Journal

10.1007/s00466-021-02056-8