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Two-material optimal design for nonlinear elastica

✍ Scribed by Jose Carlos Bellido; Alberto Donoso

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
401 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

The work considers an optimal design problem in the context of nonlinear elastica. More specifically, we deal with finding the best way of mixing fixed amounts of two different elastic materials, so as to minimize the tip deflection of a cantilever beam loaded on its free extreme under the assumption of large deflections. Applying an optimality criteria method to the relaxed problem, simulations give us numerical evidence that the original design problem admits classical solutions (i.e. there is no microstructure) and those are the same as the respective ones for the case of small deflections.

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