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Optimization of topology and shape by combining phase field modeling and discrete stochastic algorithms
Author(s) -
Keller Alexander,
Münch Ingo,
Wagner Werner
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710339
Subject(s) - topology optimization , metaheuristic , computer science , mathematical optimization , set (abstract data type) , field (mathematics) , algorithm , process (computing) , topology (electrical circuits) , domain (mathematical analysis) , level set method , shape optimization , task (project management) , phase (matter) , mathematics , engineering , finite element method , artificial intelligence , structural engineering , physics , mathematical analysis , systems engineering , combinatorics , segmentation , quantum mechanics , pure mathematics , image segmentation , programming language , operating system
We propose a concept for the comprehensive optimization of load bearing structures. The main idea is to decompose the optimization task. First, we use a phase field model to evolve the topology as basic design. The parameters of this process are the filling level of the design domain and the tendency to nucleate more or less holes. Second, we use an interface to set up a subsequent structural model, where cross‐sections and positions of nodes are simultaneous optimization parameters of a metaheuristic optimization method. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)