Optimal design of disks subject to geometric constraints

A general formulation of the problem of optimal design with geometric constraints is presented. Such constraints define an admissible region in which the variable portion of a structure should be placed. The optimal design of perfectly plastic disks of Tresca material is considered and two problems...

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Bibliographic Details
Published inInternational journal of mechanical sciences Vol. 12; no. 12; pp. 1007 - 1021
Main Authors Kozłowski, W., Mróz, Z.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 1970
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ISSN0020-7403
1879-2162
DOI10.1016/0020-7403(70)90029-9

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Summary:A general formulation of the problem of optimal design with geometric constraints is presented. Such constraints define an admissible region in which the variable portion of a structure should be placed. The optimal design of perfectly plastic disks of Tresca material is considered and two problems are discussed in detail: a disk simply supported at two points supports and a cantilever disk loaded by a concentrated force. The optimal design lies in the semi-plane below the line joining supports or within a strip of prescribed width.
ISSN:0020-7403
1879-2162
DOI:10.1016/0020-7403(70)90029-9