The continuous increase of computational capacity has encouraged the extensive use of
multiscale techniques to simulate the material behaviour on several fields of knowledge. In …

Multi-scale models enriched with the second gradient of the displacement field and based
on the concept of representative volume element (RVE) are examined and discussed in …

This article presents a datadriven multiscale optimization method for solving 3D problems
under given boundary conditions. The topology is represented by an extended level-set …

In this contribution, the enforcement of uniform traction (UT) and periodic boundary (PB)
conditions on arbitrarily generated meshes is analysed in detail, and the derivation of the …

In this work, a new strategy for solving multiscale topology optimization problems is
presented. An alternate direction algorithm and a precomputed offline microstructure …

A flexible problem-specific multiscale topology optimization is introduced to associate
different areas of the design domain with diverse microstructures extracted from a dictionary …

An analysis of the symmetries characterizing the micro-architecture topologies and the
elastic material properties is performed. The goal is to elucidate a systematic procedure that …

A topology optimization technique based on the topological derivative and the level set
function is utilized to design/synthesize the microstructure of a pentamode material for an …

Herein, a numerical multiscale tool is developed to design 3D periodic lattice structures. The
work is motivated by the high design freedom of additive manufacturing technologies, which …

The use of composite materials has grown exponentially in transport structures due to their
weight reduction advantages, added to their capability to adapt the material properties and …