Variational approach to relaxed topological optimization: closed form solutions for structural problems in a sequential pseudo-time framework

DOI10.1016/j.cma.2019.06.038zbMath1441.74167arXiv2108.02535OpenAlexW2957351487MaRDI QIDQ1988251

J. Cante, D. Yago, Oriol Lloberas-Valls, Javier Oliver

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02535

zbMATH Keywords

closed-form solutionsvariational approachtopological optimizationstructural topological optimizationpseudo-time sequential analysis

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (5)

VARTOP: A New Variational Approach to Structural and Thermal Topology Optimization Problems ⋮ Towards shock absorbing hyperelastic metamaterial design. I: Macroscopic scale: computational shock-capturing ⋮ Topology optimization of thermal problems in a nonsmooth variational setting: closed-form optimality criteria ⋮ Topological derivative-based topology optimization of incompressible structures using mixed formulations ⋮ Marching cubes-based isogeometric topology optimization method with parametric level set

Uses Software

• FEAPpv

Cites Work

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