Sensitivity analysis of 2D interface cracks (Q2725519)
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scientific article; zbMATH DE number 1619386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sensitivity analysis of 2D interface cracks |
scientific article; zbMATH DE number 1619386 |
Statements
3 September 2001
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crack
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sensitivity analysis
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material derivative
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existence
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regularity
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linear elastic cracked body
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boundary transmission problem
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shape derivative
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Irwin formula
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0.8969447
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0.8957191
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0.87755054
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0.8723314
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0.86929536
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0.86898726
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Sensitivity analysis of 2D interface cracks (English)
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A mathematical sensitivity analysis is developed to analyse the deformation behaviour of a linear elastic cracked body under a small perturbation of the crack tips. A two-dimensional boundary transmission problem is considered with two different materials. The sensitivity of the displacement fields is described by the material and shape derivative. Existence and regularity results are proven for the material derivative near the singular points of the boundary, too. It is proven that the variation of the domain functionals depends on the perturbation of the boundary in the normal direction and also on the perturbation of the crack tips in the tangential direction. By application of the presented method a derivation is done for a generalization of the Irwin formula.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00045].
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