The derivative of the energy functional along the crack length in problems of the theory of elasticity (Q2761304)
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scientific article; zbMATH DE number 1683356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The derivative of the energy functional along the crack length in problems of the theory of elasticity |
scientific article; zbMATH DE number 1683356 |
Statements
18 December 2001
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linear elastic body
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Eshelby-Cherepanov-Rice integral
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derivative of energy functional
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Griffith's formula
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minimization problem
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variational inequality
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The derivative of the energy functional along the crack length in problems of the theory of elasticity (English)
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The paper deals with a non-strained linear elastic body which occupies the domain \( D\subset \mathbb{R}^p\) \( (p=2,3) \) and has a crack. The boundary conditions on the crack edges are formulated in the form of inequalities, and describe the conditions of mutual impermeability of the edges. In two-dimensional and three-dimensional cases, the authors obtain analogues of Eshelby-Cherepanov-Rice integral.
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