A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …

In this review, state‐of‐the‐art studies on the uncertainty quantification (UQ) of
microstructures in aerospace materials is examined, addressing both forward and inverse …

In the present work fluid flow and solute transport through porous media are described by
solving the governing equations at the pore scale with finite-volume discretization. Instead of …

The two‐dimensional spectral decomposition of an image of sediment provides a direct
statistical estimate, grid‐by‐number style, of the mean of all intermediate axes of all single …

This paper is devoted to the computational nonlinear stochastic homogenization of a
hyperelastic heterogeneous microstructure using a nonconcurrent multiscale approach. The …

A model for simulation of non-stationary, non-Gaussian processes based on non-linear
translation of Gaussian random vectors is presented. This method is a generalization of …

This work proposes novel models to represent and parametrize random morphology of
polycrystalline microstructures. The reliability of high-fidelity mechanical analysis of …

In recent years, a tremendous increase in the applications of composite materials has been
observed. The variability in their composition dramatically affects their overall properties …

The apparent ubiquity of binary random processes in physics and many other fields has
attracted considerable attention from the modeling community. However, generation of …

In this, the second of a pair of papers on the structure of well‐sorted natural granular
material (sediment), new methods are described for automated measurements from images …