Explicit Solution of an Optimal Design Problem with Non-Affine Displacement Boundary Conditions

Structural optimization problems with non-affine boundary conditions must usually be solved numerically. Here we present an example of such a problem which can be solved analytically. Our method utilizes extremal composites as structural components, and makes use of the explicit form of a certain op...

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Bibliographic Details
Published in:Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 1996-04, Vol.452 (1947), p.909-918
Main Author: Grabovsky, Yury
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Design optimization
Homogenization
Material concentration
Materials
Mathematical functions
Slope of a line
Sufficient conditions
Topology
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Summary:Structural optimization problems with non-affine boundary conditions must usually be solved numerically. Here we present an example of such a problem which can be solved analytically. Our method utilizes extremal composites as structural components, and makes use of the explicit form of a certain optimal energy bound.
ISSN:1364-5021
1471-2946
2053-9177
DOI:10.1098/rspa.1996.0045