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Pure torsion of compressible nonlinearly elastic circular cylinders. (English) Zbl 0751.73014
Topic of this investigation are strain energy functions for which a compressible rod can undergo a finite isochoric torsion. Besides being compressible and hyperelastic the rod material is assumed to be homogeneous and isotropic. The circular cylindrical traction free rod is twisted by moments acting upon its end surface in such a way that its cross-sections are rotated without any additional deformation. Since a general solution of the problem cannot be obtained, the authors study certain classes of strain energy functions in respect of the possibility of finite pure torsion.
This well written paper is of interest to researchers in finite elasticity.
Reviewer: U.Gamer (Wien)

MSC:
74B20 Nonlinear elasticity
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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