A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy (Q1805158)
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scientific article; zbMATH DE number 753712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy |
scientific article; zbMATH DE number 753712 |
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A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy (English)
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8 August 1995
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The large deformation torsion problem for an elastic circular cylinder subject to prescribed twisting moments at its ends is examined for a particular homogeneous isotropic compressible material, namely the Blatz- Ko material. For this material, the displacement equations of equilibrium in three-dimensional elastostatics can lose ellipticity at sufficiently large deformations. For the torsion problem, it is shown that this occurs when the prescribed torque reaches a critical value.
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twisting moments
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Blatz-Ko material
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critical value
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