Design Sensitivity Analysis of Elastic-Plastic Analysis Problems
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Mechanics of Structures and Machines
- Vol. 16 (1) , 81-102
- https://doi.org/10.1080/08905458808960254
Abstract
Elastic-plastic analysis problems are formulated as quadratic programming problems that involve energy functionals and equilibrium and yield constraints that depend on the design, material, and loading. The paper considers the problem of determining the variation in structural response, due to variations of these parameters. A general result is obtained for discrete structures. As an example of a distributed structure, a statically determinate beam that is described by a model in two spatial variables is considered. Implications for optimal design are also discussed and the sensitivity result is employed in the solution procedure for an optimization problem for a simple truss-structure under elastoplastic deformation.Keywords
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