Interaction of displacement waves with curvilinear longitudinal shear cracks in a piezoelectric medium (Q1820027)
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scientific article; zbMATH DE number 3995235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interaction of displacement waves with curvilinear longitudinal shear cracks in a piezoelectric medium |
scientific article; zbMATH DE number 3995235 |
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Interaction of displacement waves with curvilinear longitudinal shear cracks in a piezoelectric medium (English)
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1985
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A dynamic antiplane problem of electroelasticity is considered for a piezoelectric medium with tunnel-type crack-cuts. The corresponding boundary value problem is reduced to a singular integro-differential equation for the displacement jumps at the cracks. An asymptotic expression is constructed for the coupled mechanical and electromagnetic fields near the singularities. Results of numerical solutions of the algorithm and some qualitative conclusions are given.
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dynamic antiplane problem
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electroelasticity
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piezoelectric medium
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tunnel-type crack-cuts
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boundary value problem
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singular integro- differential equation
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displacement jumps
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asymptotic expression
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coupled mechanical and electromagnetic fields
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singularities
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