On an axisymmetric free boundary problem (Q908735)
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scientific article; zbMATH DE number 4135480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an axisymmetric free boundary problem |
scientific article; zbMATH DE number 4135480 |
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On an axisymmetric free boundary problem (English)
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1987
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The axisymmetric elastic-plastic torsion of a shaft of varying cross section along its axis is considered by using Hencky deformation theory and the Huber-Mises yield condition. The problem is then reformulated as a variational inequality in terms of stress field and stress functions. Conditions for uniqueness and existence of a solution are stated. This paper extends the results of (INVALID INPUT)C. W. Cryer [ibid. 76, 535- 570 (1980; Zbl 0452.73016)], who considered the case of monotonically varying cross section of the shaft.
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axisymmetric elastic-plastic torsion
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shaft of varying cross section
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Hencky deformation theory
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Huber-Mises yield condition
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variational inequality in terms of stress field and stress functions
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Conditions for uniqueness
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existence
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