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.

本文介绍了无法用微尺度成分（如活组织）描述的异质 3D 线性各向异性弹性微结构的计算随机均匀化。然后在中尺度的随机表观弹性场建模为一类非高斯正定张量值均匀随机场。我们提出了先前工作的扩展，包括一个新的概率模型，以考虑随机表观弹性场的频谱测量的不确定性。宏观尺度随机有效弹性张量的概率分析是作为频谱不确定性水平的函数进行的，这允许在稳健的概率框架中研究尺度分离和代表性体积元素大小。