Since the beginning of the industrial age, material performance and design have been in the
midst of innovation of many disruptive technologies. Today's electronics, space, medical …

The evolutionary structural optimization (ESO) method developed by **e and Steven
(Comput Struct 49 (5): 885–896, 162), an important branch of topology optimization, has …

This article focuses on computational multiscale methods for the mechanical response of
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …

Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …

Research on topology optimization mainly deals with the design of monoscale structures,
which are usually made of homogeneous materials. Recent advances of multiscale …

Composite materials possess a highly complex material behavior, and thus advanced
simulation techniques are necessary to compute their mechanical response. In this regard …

A unified variational theory is proposed for a general class of multiscale models based on
the concept of Representative Volume Element. The entire theory lies on three fundamental …

Material behavior and microstructure geometries at small scales strongly influence the
physical behavior at higher scales. For example, defects like cracks and dislocations evolve …

This paper presents a novel transient computational homogenization procedure that is
suitable for the modelling of the evolution in space and in time of materials with non-steady …

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 …