In the context of nonlinear anisotropic elasticity the model plane-strain problem of azimuthal shear of a circular cylindrical tube is considered. In particular, the effect of anisotropy associated with preferred material directions on the emergence and disappearance of non-uniqueness of solution is examined. The non-smooth character of the global energy-minimizing solution of the boundary-value problem in which the inner boundary is fixed and the outer boundary is subject to a prescribed shear traction is highlighted and illustrated graphically.
- anisotropic elasticity
- finite elasticity
- large deformations
- loss of ellipticity
Dorfmann, A., Merodio, J., & Ogden, R. W. (2010). Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. Journal of Engineering Mathematics, 68(1), 27-36. https://doi.org/10.1007/s10665-009-9318-7