Engineering Mechanics Institute Conference 2013

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Embedding of Superelements for three-dimensional Topology Optimization using Polytopes

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Anderson Pereira
Pontifical Catholic University of Rio de Janeiro
Brazil

Regis Thedin
Pontifical Catholic University of Rio de Janeiro
Brazil

Marcio Carvalho
Pontifical Catholic University of Rio de Janeiro
Brazil

Ivan Menezes
Pontifical Catholic University of Rio de Janeiro
Brazil

Glaucio Paulino
University of Illinois at Urbana at Urbana-Champaign
United States

Abstract:
Superelements offer several advantages for high-fidelity solutions of topology optimization problems. Thus this work proposes the use of a two-level mesh representation, involving finite element and topology optimization variables. The proposed mapping–based framework provides a general approach to solve three-dimensional problems considering non-conventional finite elements, such as polytopes. In this setting, tetrahedral elements are embedded within the polytopes. Examples are provided to demonstrate the capabilities of the proposed framework.

 

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