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Structural and Multidisciplinary Optimization

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01-02-2015 | RESEARCH PAPER

Convex topology optimization for hyperelastic trusses based on the ground-structure approach

Authors: Adeildo S. Ramos Jr., Glaucio H. Paulino

Published in: Structural and Multidisciplinary Optimization | Issue 2/2015

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Abstract

Most papers in the literature, which deal with topology optimization of trusses using the ground structure approach, are constrained to linear behavior. Here we address the problem considering material nonlinear behavior. More specifically, we concentrate on hyperelastic models, such as the ones by Hencky, Saint-Venant, Neo-Hookean and Ogden. A unified approach is adopted using the total potential energy concept, i.e., the total potential is used both in the objective function of the optimization problem and also to obtain the equilibrium solution. We proof that the optimization formulation is convex provided that the specific strain energy is strictly convex. Some representative examples are given to demonstrate the features of each model. We conclude by exploring the role of nonlinearities in the overall topology design problem.

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Title: Convex topology optimization for hyperelastic trusses based on the ground-structure approach
Authors: Adeildo S. Ramos Jr.
Glaucio H. Paulino
Publication date: 01-02-2015
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 2/2015
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-014-1147-2

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