|
|||||
|
|
Torsion in nonlinearly elastic incompressible circular cylinders |
|
| Institution: | 1. Civil Engineering Department, University of Virginia, Charlottesville, VA, 22904, USA;2. School of Mechanical Engineering, Xi''an Jiaotong University, Xi''an, China;3. Mechanical Engineering Department, Texas Tech University, Lubbock, TX, 79409, USA;1. Department of Systems Engineering, Department of Material Science & Engineering, Saarland University, Saarbrücken, Germany;2. Center for Mechatronics and Automation Technologies (ZeMA) gGmbH, Saarbrücken, Germany |
| Abstract: | We consider a variable torsion deformation for incompressible right-circular cylinders and investigate the possibility of equilibrium states other than simple torsion in isotropic hyperelasticity. Our problem formulation also provides generalized versions of Rivlin's universal relations in torsion. In this more general setting, it is shown that simple torsion persists as the only solution for large classes of strain energies. When one allows for more general boundary conditions, variable torsion solutions are possible for special forms of the stored energy function. We derive such a form and develop general results. |
| Keywords: | Torsion Incompressible nonlinear hyperelasticity Controllable deformations Variable traction boundary conditions |
| 本文献已被 ScienceDirect 等数据库收录！ | |