In the present work, 3D convolutional neural networks (CNNs) are trained to link random
heterogeneous, multiphase materials to their elastic macroscale stiffness thus replacing …

The classical Cauchy continuum theory is suitable to model highly homogeneous materials.
However, many materials, such as porous media or metamaterials, exhibit a pronounced …

We rigorously determine the scale-independent short range elastic parameters in the
relaxed micromorphic generalized continuum model for a given periodic microstructure. This …

This paper presents a numerical multiscale formulation for analysis of the transient heat and
fluid flow in deformable heterogeneous porous media. Due to the heterogeneity of the …

In this paper the relaxed micromorphic material model for anisotropic elasticity is used to
describe the dynamical behavior of a band-gap metamaterial with tetragonal symmetry …

One approach for the simulation of metamaterials is to extend an associated continuum
theory concerning its kinematic equations, and the relaxed micromorphic continuum …

In order to avoid the adverse effects of structural damage caused by stress concentration,
the optimization problem considering stress constraints is very important in structural design …

The usage of numerical homogenization to obtain structure–property relations by applying
the finite element method at both the micro-and macroscale has gained much interest in the …

We study effective elastic properties of 3D bicontinuous random composites (such as, eg,
nanoporous gold filled with polymer) considering linear and infinitesimal elasticity and using …

Most porous media, such as geomaterials and biomaterials are highly heterogeneous in
nature, and they contain large variations of microscopic pore structures, such as pore sizes …