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Conceptual design of reinforced concrete structures using topology optimization with elastoplastic material modeling
Author(s) -
Bogomolny Michael,
Amir Oded
Publication year - 2012
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.4253
Subject(s) - topology optimization , structural engineering , nonlinear system , reinforced concrete , material properties , conceptual design , yield (engineering) , tension (geology) , interpolation (computer graphics) , topology (electrical circuits) , optimal design , compression (physics) , finite element method , basis (linear algebra) , computer science , materials science , mathematics , engineering , mechanical engineering , composite material , geometry , physics , quantum mechanics , frame (networking) , combinatorics , machine learning
SUMMARY Design of reinforced concrete structures is governed by the nonlinear behavior of concrete and by its different strengths in tension and compression. The purpose of this article is to present a computational procedure for optimal conceptual design of reinforced concrete structures on the basis of topology optimization with elastoplastic material modeling. Concrete and steel are both considered as elastoplastic materials, including the appropriate yield criteria and post‐yielding response. The same approach can be applied also for topology optimization of other material compositions where nonlinear response must be considered. Optimized distribution of materials is achieved by introducing interpolation rules for both elastic and plastic material properties. Several numerical examples illustrate the capability and potential of the proposed procedure. Copyright © 2012 John Wiley & Sons, Ltd.