Topological derivative for multi‐scale linear elasticity models applied to the synthesis of microstructures

By Samuel Amstutz, Sebastian M. Giusti, Antonio André Novotny, E. A. Souza Neto. 2010

129 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/750790a696ceeff349c0dfdf598124545b15d969

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Topological derivative-based topology optimization of structures subject to Drucker–Prager stress constraints (2012, methodology): “It was proven very successful in the context of unconstrained structural optimization and optimization in problems of flow through porous media [5], in structural optimization under a von Mises stress constraint [8] and in the topology optimization of elastic microstructures [7].”
Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, methodology): “On the other hand, after the groundbreaking contribution of Bendsoe and Kikuchi [6] in which the homogenization method is used to design optimal topology structures several authors have dabbled into this actual research topic [1, 21, 55, 106, 128].”
Topological derivatives applied to fluid flow channel design optimization problems (2016, methodology): “The topological asymptotic analysis was introduced in the fundamental paper [35] and has been successfully applied to the treatment of problems such as topology optimization [9], inverse analysis [27], image processing [26], multi-scale constitutive modeling [8], fracture mechanics sensitivity analy”
Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, methodology): “RVE-based computational multiscale methods aiming, for instance, the optimization of certain material properties [3,53,124] have shown to offer a solid tool to assist the material design process.”