This review paper provides an overview of different level-set methods for structural topology
optimization. Level-set methods can be categorized with respect to the level-set-function …

This study presents new framework in which the representative volume element (RVE)
method and machine learning (ML) model are used to construct continuous anisotropic …

We consider a phase field model for the formulation and solution of topology optimization
problems in the minimum compliance case. In this model, the optimal topology is obtained …

In this paper, we propose a novel and systematic phase field-based multiscale topology
optimization method for porous structures design. The multi-regional microstructural …

The level set method can express smooth boundaries in structural topology optimization with
the level set function's zero-level contour. However, most applications still use rectangular …

A new computational algorithm is introduced in the present study to solve multimaterial
topology optimization problems. It is based on the penalization of the objective functional by …

This chapter is an introduction to shape and topology optimization, with a particular
emphasis on the method of Hadamard for appraising the sensitivity of quantities of interest …

This work focuses the structural topology optimization problem of mass minimization subject
to local stress constraints. To this aim, two related issues are addressed. The first one is the …

Topology optimization has emerged as a powerful tool for structural configuration design. To
further promote the development of topology optimization, many computer programs have …

This work presents a rigorous mathematical formulation for topology optimization of a macro
structure undergoing ductile failure. The prediction of ductile solid materials which exhibit …