Authors: GIN Rozvany
Publish Date: 2014/02/01
Volume: 21, Issue: 2, Pages: 90-108
Abstract
Topology optimization of structures and composite continua has two main subfields Layout Optimization LO deals with gridlike structures having very low volume fractions and Generalized Shape Optimization GSO is concerned with higher volume fractions optimizing simultaneously the topology and shape of internal boundaries of porous or composite continua The solutions for both problem classes can be exact/analytical or discretized/FEbasedThis review article discusses FEbased generalized shape optimization which can be classified with respect to the types of topologies involved namely IsotropicSolid/Empty ISE AnisotropicSolid/Empty ASE and IsotropicSolid/Empty/Porous ISEP topologiesConsidering in detail the most important class of ie ISE topologies the computational efficiency of various solution strategies such as SIMP Solid Isotropic Microstructure with Penalization OMP Optimal Microstructure with Penalization and NOM NonOptimal Microstructures are comparedThe SIMP method was proposed under the terms “direct approach or “artificial density approach by Bendsoe over a decade ago it was derived independently used extensively and promoted by the author’s research group since 1990 The term “SIMP was introducted by the author in 1992 After being out of favour with most other research schools until recently SIMP is becoming generally accepted in topology optimization as a technique of considerable advantages It seems therefore useful to review in greater detail the origins theoretical background history range of validity and major advantages of this method
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