Makrodimopoulos, A., Bhaskar, A. and Keane, A.J.
A formulation of thickness optimization for plane stress.
In, 17th UK Conference on Computational Mechanics (ACME-UK), Nottingham, UK,
06 - 08 Apr 2009.
Thickness optimization can be considered as a case of sizing optimization for plane structures. It can
also be used as an intermediate step for topology problems, i.e. we can eliminate the parts where the
thickness tends to be zero. This paper is concerned with the case of plane stress structures coupled with
the finite element method. The aim is to present a formulation of this problem as a case of second-order
cone programming which is a standard form of mathematical programming. The advantage is that,
on the one hand, all that the engineer has to do is to compute elemental data, and on the other, large
discretized structures can be optimized accurately due to the efficiency of the proposed formulation.
Different types of elements regarding the thickness field are considered.
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