Topology optimization of multi-scale structures: a review

J Wu, O Sigmund, JP Groen - Structural and Multidisciplinary Optimization, 2021 - Springer
Multi-scale structures, as found in nature (eg, bone and bamboo), hold the promise of
achieving superior performance while being intrinsically lightweight, robust, and multi …

Topology optimization of continuum structures: a review

HA Eschenauer, N Olhoff - Appl. Mech. Rev., 2001 - asmedigitalcollection.asme.org
It is of great importance for the development of new products to find the best possible
topology or layout for given design objectives and constraints at a very early stage of the …

[图书][B] Topology optimization: theory, methods, and applications

MP Bendsoe, O Sigmund - 2013 - books.google.com
" The art of structure is where to put the holes" Robert Le Ricolais, 1894-1977 This is a
completely revised, updated and expanded version of the book titled" Optimization of …

Material interpolation schemes in topology optimization

MP Bendsøe, O Sigmund - Archive of applied mechanics, 1999 - Springer
In topology optimization of structures, materials and mechanisms, parametrization of
geometry is often performed by a grey-scale density-like interpolation function. In this paper …

Shape optimization by the homogenization method

G Allaire, E Bonnetier, G Francfort, F Jouve - Numerische Mathematik, 1997 - Springer
In the context of shape optimization, we seek minimizers of the sum of the elastic compliance
and of the weight of a solid structure under specified loading. This problem is known not to …

De-homogenization of optimal multi-scale 3D topologies

JP Groen, FC Stutz, N Aage, JA Bærentzen… - Computer Methods in …, 2020 - Elsevier
This paper presents a highly efficient method to obtain high-resolution, near-optimal 3D
topologies optimized for minimum compliance on a standard PC. Using an implicit geometry …

[HTML][HTML] Quasiperiodic mechanical metamaterials with extreme isotropic stiffness

Y Wang, O Sigmund - Extreme Mechanics Letters, 2020 - Elsevier
Architected metamaterials are dominantly periodic, but on the other hand, natural materials
usually exhibit aperiodicity or even disordered randomness. In this study, we systematically …

A density-and-strain-based K-clustering approach to microstructural topology optimization

T Kumar, K Suresh - Structural and Multidisciplinary Optimization, 2020 - Springer
Microstructural topology optimization (MTO) is the simultaneous optimization of macroscale
topology and microscale structure. MTO holds the promise of enhancing product …

Clustering-based concurrent topology optimization with macrostructure, components, and materials

Z Qiu, Q Li, S Liu, R Xu - Structural and Multidisciplinary Optimization, 2021 - Springer
This paper proposes a clustering-based concurrent topology optimization method for
designing additive manufacturable cellular structures. In the context of multiscale topology …

Growth of oriented orthotropic structures with reaction/diffusion

DH Garnier, MP Schmidt, D Rohmer - Structural and Multidisciplinary …, 2022 - Springer
Lattice structures can present advantageous mechanical properties while remaining
remarkably lightweight. Precise lattice design can however be tricky to set up with classical …