Diffusion of Self-Equilibrating End Loads in a Stretched Elastoplastic Circular Cylinder (Q3985832)
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scientific article; zbMATH DE number 27834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusion of Self-Equilibrating End Loads in a Stretched Elastoplastic Circular Cylinder |
scientific article; zbMATH DE number 27834 |
Statements
Diffusion of Self-Equilibrating End Loads in a Stretched Elastoplastic Circular Cylinder (English)
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27 June 1992
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\(J_ 2\)-flow
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low rates of axial diffusion
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asymmetric instantaneous self-equilibrating disturbances
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four linear partial differential equations
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three velocity components
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hydrostatic stress rate
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supplemented by homogeneous stress-free boundary conditions
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cylindrical surface
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governing field equations
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reduced to four ordinary differential equations
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exact analytical solution
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modified Bessel functions
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stress- free boundary conditions
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transcendental equation for the associated eigenvalues
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strain-hardening solids
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flexural eigenfunction
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Saint- Venant's principle at finite strains
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