Shape design sensitivity analysis of plates and plane elastic solids under unilateral constraints (Q1078101)
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scientific article; zbMATH DE number 3959163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shape design sensitivity analysis of plates and plane elastic solids under unilateral constraints |
scientific article; zbMATH DE number 3959163 |
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Shape design sensitivity analysis of plates and plane elastic solids under unilateral constraints (English)
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1987
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The local dependence of static response and eigenvalues on the shape of plates and plane elastic solids is characterized. The so-called material derivative method is used. The shape sensitivity analysis includes, besides linear problems, nonlinear problems with unilateral conditions, e.g., the frictionless contact problem for an elastic body on a rigid foundation. The results on shape sensitivity analysis can be used to obtain expressions for variations of integral functionals that arise in structural optimization problems.
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plates
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plane elastic solids
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material derivative method
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shape sensitivity analysis
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structural optimization
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optimal design
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domain derivative
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nondifferentiable optimization
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