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A dual algorithm for the topology optimization of non‐linear elastic structures
Author(s) -
Jog C. S.
Publication year - 2008
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.2422
Subject(s) - design for manufacturability , dual (grammatical number) , lagrange multiplier , topology optimization , algorithm , topology (electrical circuits) , constraint (computer aided design) , computer science , mathematical optimization , perimeter , linear programming , dual space , mathematics , finite element method , geometry , engineering , discrete mathematics , structural engineering , mechanical engineering , art , literature , combinatorics
Dual algorithms are ideally suited for the purpose of topology optimization since they work in the space of Lagrange multipliers associated with the constraints. To date, dual algorithms have been applied only for linear structures. Here we extend this methodology to the case of non‐linear structures. The perimeter constraint is used to make the topology problem well‐posed. We show that the proposed algorithm yields a value of perimeter that is close to that specified by the user. We also address the issue of manufacturability of these designs, by proposing a variant of the standard dual algorithm, which generates designs that are two‐dimensional although the loading and the geometry are three‐dimensional. Copyright © 2008 John Wiley & Sons, Ltd.