Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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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Additional Information

DOI: https://doi.org/10.1090/qam/1402408
Article copyright: © Copyright 1996 American Mathematical Society

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