Multimaterial topology optimization by volume constrained Allen–Cahn system and regularized projected steepest descent method

•Developing a computational algorithm to solve multiphase topology optimization problems with arbitrary number of phases.•The method is efficient, robust and the complexity of implementation is independent to number of phases.•The presented algorithm does the optimization on the H1 space.•MATLAB imp...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 276; pp. 534 - 565
Main Author:	Tavakoli, Rouhollah
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.07.2014
Subjects:	Algorithms Constraints Gradient projection Mathematical models Matlab MATLAB code Multiphase Allen–Cahn Multiphase Cahn–Hilliard Multiphase topology optimization Readers Reduction Sobolev gradient Steepest descent method Topology optimization Gradient projection MATLAB code Multiphase Allen–Cahn Multiphase Cahn–Hilliard Sobolev gradient Multiphase topology optimization
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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