Formation of cracks on compressing an unbounded brittle body with a circular opening (Q1819603)
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scientific article; zbMATH DE number 3993074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formation of cracks on compressing an unbounded brittle body with a circular opening |
scientific article; zbMATH DE number 3993074 |
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Formation of cracks on compressing an unbounded brittle body with a circular opening (English)
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1985
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A simplified model of a brittle body is used as a basis for investigating the appearance of cracks originating at the boundary of a circular cavity in a body in state of plane deformation caused by uniaxial compression at infinity. The singular integral equation of the problem is reduced to an integral Fredholm equation with a degenerate kernel. The solution is obtained in the form of a Fourier series in terms of Legendre polynomials.
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brittle body
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cracks
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boundary of a circular cavity
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plane deformation
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uniaxial compression at infinity
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singular integral equation
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equation with a degenerate kernel
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Fourier series
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Legendre polynomials
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