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

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