SOME INHOMOGENEOUS MOTIONS AND DEFORMATIONS WITHIN THE CONTEXT OF THERMOELASTICITY Academic Article uri icon

abstract

  • We study inhomogeneous deformations and motions of solid cylinders of generalized neo-Hookean materials. The nonlinear governing equations are solved using the finite element Galerkin method. We find that the solutions admit `boundary layer' like structure, in that the deformation is inhomogeneous near the boundary while it is essentially homogeneous in the core region, or there is confinement of strain or vorticity adjacent to the boundary (Rajagopal [1] [2]). We find that the `boundary layer' like structure can be significantly influenced by the temperature, and inertial effects. These effects sometimes reinforce each other while at other instances mitigate one another.

author list (cited authors)

  • Lapczyk, I., & Rajagopal, K. R.

citation count

  • 4

publication date

  • June 1995