Inhomogeneous deformations of non-linearly elastic wedges Academic Article uri icon

abstract

  • We study a class of non-universal inhomogeneous deformations of both compressible and incompressible isotropic non-linearly elastic wedges. In the case of compressible solids we obtain a necessary condition which the stored energy ought to satisfy, so that it may be possible to deform the body in the assumed manner, by the application of surface tractions. In the case of the incompressible solids, we show that the pressure field ought to have a special structure if the assumed form of deformation is to be possible. For certain simple constitutive theories the governing equations can be integrated and explicit exact solutions can be obtained. © 1991.

author list (cited authors)

  • Rajagopal, K. R., & Carroll, M. M.

citation count

  • 16

publication date

  • January 1992