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Two‐scale topology optimization in computational material design: An integrated approach
Author(s) -
Ferrer A.,
Cante J.C.,
Hernández J.A.,
Oliver J.
Publication year - 2018
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5742
Subject(s) - topology optimization , computer science , network topology , mathematical optimization , scale (ratio) , topology (electrical circuits) , computational topology , work (physics) , computational science , finite element method , mathematics , engineering , mechanical engineering , structural engineering , physics , quantum mechanics , combinatorics , scalar field , mathematical physics , operating system
Summary In this work, a new strategy for solving multiscale topology optimization problems is presented. An alternate direction algorithm and a precomputed offline microstructure database (Computational Vademecum) are used to efficiently solve the problem. In addition, the influence of considering manufacturable constraints is examined. Then, the strategy is extended to solve the coupled problem of designing both the macroscopic and microscopic topologies. Full details of the algorithms and numerical examples to validate the methodology are provided.