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Topology and material orientation optimization based on evolution equations
Author(s) -
Jantos Dustin Roman,
Junker Philipp,
Hackl Klaus
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710337
Subject(s) - topology optimization , topology (electrical circuits) , orientation (vector space) , anisotropy , energy minimization , mathematical optimization , optimization problem , gibbs free energy , variable (mathematics) , computer science , mathematics , physics , mathematical analysis , geometry , thermodynamics , finite element method , combinatorics , quantum mechanics
Many modern high‐performance materials have inherent anisotropic elastic properties and its local material orientation can be considered to be an additional design variable for the topology optimization [1–3]. We extend our previous model for topology optimization with variational controlled growth [4–6] for linear elastic anisotropic materials, for which the material orientation is introduced as an additional design variable. We solve the optimization problem purely with the principles of thermodynamics by minimizing the Gibbs energy. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)