Numerical methods for the topology optimization of structures that exhibit snap-through

The inclusion of non‐linear elastic analyses into the topology optimization problem is necessary to capture the finite deformation response, e.g. the geometric non‐linear response of compliant mechanisms. In previous work, the non‐linear response is computed by standard non‐linear elastic finite ele...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2002-12, Vol.55 (10), p.1215-1237
Main Authors: Bruns, T. E., Sigmund, O., Tortorelli, D. A.
Format: Article
Language:English
Subjects:
arc length method
snap-through
structural topology optimization
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Summary:The inclusion of non‐linear elastic analyses into the topology optimization problem is necessary to capture the finite deformation response, e.g. the geometric non‐linear response of compliant mechanisms. In previous work, the non‐linear response is computed by standard non‐linear elastic finite element analysis. Here, we incorporate a load–displacement constraint method to traverse non‐linear equilibrium paths with limit points to design structures that exhibit snap‐through behaviour. To accomplish this, we modify the basic arc length algorithm and embed this analysis into the topology optimization problem. Copyright © 2002 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.544