Shape and topology optimization

G Allaire, C Dapogny, F Jouve - Handbook of numerical analysis, 2021 - Elsevier
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 …

Stress minimization for lattice structures. Part I: Micro-structure design

A Ferrer, P Geoffroy-Donders… - … Transactions of the …, 2021 - royalsocietypublishing.org
Lattice structures are periodic porous bodies which are becoming popular since they are a
good compromise between rigidity and weight and can be built by additive manufacturing …

[图书][B] An introduction to the topological derivative method

AA Novotny, J Sokołowski - 2020 - Springer
Mathematical analysis and numerical solutions of problems with unknown shapes is a
challenging and rich research field in the modern theory of calculus of variations, partial …

SIMP‐ALL: A generalized SIMP method based on the topological derivative concept

A Ferrer - International Journal for Numerical Methods in …, 2019 - Wiley Online Library
Topology optimization has emerged in the last years as a promising research field with a
wide range of applications. One of the most successful approaches, the SIMP method, is …

Multi-material topology optimization with continuous magnetization direction for permanent magnet synchronous reluctance motors

T Gauthey, P Gangl, MH Hassan - arXiv preprint arXiv:2107.04825, 2021 - arxiv.org
Permanent magnet-assisted synchronous reluctance motors (PMSynRM) have a
significantly higher average torque than synchronous reluctance motors. Thus, determining …

Multi-material topology optimization with continuous magnetization direction for motors design

T Gauthey, P Gangl, MH Hassan - … International Conference on …, 2022 - ieeexplore.ieee.org
Permanent magnet-assisted synchronous reluctance motors (PMSynRM) have a
significantly higher average torque than synchronous reluctance motors. Thus, determining …

Topological derivative-based fracture modelling in brittle materials: A phenomenological approach

M Xavier, EA Fancello, JMC Farias… - Engineering Fracture …, 2017 - Elsevier
Abstract The Griffith-Francfort-Marigo damage model describes the behavior of brittle
materials under the quasi-static loading assumption, focusing on the evolution of damage …

Topological derivative-based topology optimization of incompressible structures using mixed formulations

I Castañar, J Baiges, R Codina, H Venghaus - Computer Methods in …, 2022 - Elsevier
In this work an algorithm for topological optimization, based on the topological derivative
concept, is proposed for both nearly and fully incompressible materials. In order to deal with …

On numerical study of constrained coupled shape optimization problems based on a new shape derivative method

A Boulkhemair, A Chakib… - Numerical Methods for …, 2023 - Wiley Online Library
In this article, we deal with a numerical method for the approximation of a class of coupled
shape optimization problems, which consist in minimizing an appropriate general volume …

Inverse homogenization using the topological derivative

A Ferrer, SM Giusti - Engineering Computations, 2022 - emerald.com
Purpose The purpose of this study is to solve the inverse homogenization problem, or so-
called material design problem, using the topological derivative concept …