In the present report some basic issues of and some of the modeling strategies used for
studying static and quasistatic problems in continuum micromechanics of materials are …

Direct FE 2, recently proposed by Tan et al.(2020), is a concurrent multilevel modeling
approach, which homogenizes a representative volume element (RVE) to a Cauchy …

The literature in the field of higher-order homogenization is mainly focused on 2-D models
aimed at composite materials, while it lacks a comprehensive model targeting 3-D lattice …

This paper presents a comprehensive study on applying the two-scale asymptotic
homogenization method to derive the effective properties of piezoelectric composite …

This article presents a multifield asymptotic homogenization scheme for the analysis of
Bloch wave propagation in non-standard thermoelastic periodic materials, leveraging on the …

In this work, we propose a new two-scale finite-strain thin plate theory for highly
heterogeneous plates described by a repetitive periodic microstructure. For this type of …

Using matched asymptotic expansions, we derive an equivalent bar model for a periodic,
one-dimensional lattice made up of linear elastic springs connecting both nearest and next …

Homogenized models are widely used in multiscale analysis for their computational
efficiency, but they often fail to provide sufficient accuracy in regions exhibiting high …

The interaction between deformable bodies and rigid foundations undergoing finite strains is
explored in this work with the Method of Multiscale Virtual Power, unlocking novel insights …

We apply physics-informed neural networks (PINNs) to first-order, two-scale, periodic
asymptotic homogenization of the property tensor in a generic elliptic equation. The problem …