Stresses in an elastic body under nonlinear antiplane deformation (Q2760842)
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scientific article; zbMATH DE number 1682343
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stresses in an elastic body under nonlinear antiplane deformation |
scientific article; zbMATH DE number 1682343 |
Statements
13 December 2001
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stress state
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Almansy's tensor
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incompressible elastic body
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complex-variable method
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Stresses in an elastic body under nonlinear antiplane deformation (English)
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The stress field in a cylindrical elastic body under antiplane deformation and certain constraints imposed on volume and surface forces is studied in a nonlinear formulation in actual-state variables. A boundary-value problem for independent stress components is formulated in Cartesian and complex variables, sufficient ellipticity conditions for this problem are indicated, and constraints on surface loading are imposed. Analytical solutions are given for linear and weak nonlinear elastic potentials. Similarity to a plane subsonic ideal-gas flow is established. An approximate method for the solution of the problem is developed.
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