The remarkable nature of cylindrically anisotropic elastic materials exemplified by an anti-plane deformation (Q1264537)
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scientific article; zbMATH DE number 1204387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The remarkable nature of cylindrically anisotropic elastic materials exemplified by an anti-plane deformation |
scientific article; zbMATH DE number 1204387 |
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The remarkable nature of cylindrically anisotropic elastic materials exemplified by an anti-plane deformation (English)
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15 June 1999
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The author studies singularities arising in the case of a wedge of cylindrical monoclinic elastic material subjected to an anti-plane state of strain. Using a modification of Lekhnitskij's formalism, a relation between the wedge angle \(2\alpha\) and a material parameter \(\gamma\) is obtained so that the stress at the wedge apex appears to be infinite. The classical Lévy-Carothers paradox for isotropic bodies is extended to the anisotropic case.
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singularity
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infinite stress
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wedge
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cylindrical monoclinic elastic material
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Lekhnitskij's formalism
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material parameter
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Lévy-Carothers paradox
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0.94213134
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0.8987081
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0.8872413
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0.87749094
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0.87581944
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0.8743442
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0.87222517
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