On stiffness maximization of variable thickness sheet with unilateral contact

Author:
J. Petersson

Journal:
Quart. Appl. Math. **54** (1996), 541-550

MSC:
Primary 73K40; Secondary 49N55

DOI:
https://doi.org/10.1090/qam/1402408

MathSciNet review:
MR1402408

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Abstract: The problem of maximizing the stiffness of a linearly elastic sheet, in unilateral contact with a rigid frictionless support, is considered. The design variable is the thickness distribution, which is subject to an isoperimetric volume constraint and upper and lower bounds. The bounds may vary over the domain of the sheet, and the lower one is allowed to be zero, hence giving the possibility of obtaining topology information about an optimal design.

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DOI:
https://doi.org/10.1090/qam/1402408

Article copyright:
© Copyright 1996
American Mathematical Society