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Erschienen in:
1997 | OriginalPaper | Buchkapitel
Large Elastic Deformations of Isotropic Materials
VI. Further Results in the Theory of Torsion, Shear and Flexure
verfasst von : R. S. Rivlin
Erschienen in: Collected Papers of R.S. Rivlin
Verlag: Springer New York
Enthalten in: Professional Book Archive
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The forces necessary to produce certain simple types of deformation in a tube of incompressible, highly elastic material, isotropic in its undeformed state, are discussed. The first type of deformation may be considered to be produced by the following three successive simpler deformations: (i)a uniform simple extension,(ii)a uniform inflation of the tube, in which its length remains constant, and(iii)a uniform simple torsion, in which planes perpendicular to the axis of the tube are rotated in their own plane through an angle proportional to their distance from one end of the tube.