On an inhomogeneous deformation of a generalized Neo-Hookean material Academic Article uri icon

abstract

  • We study the inhomogeneous deformation of a wedge of an incompressible generalized power-law Neo-Hookean material. We find solutions which have a "boundary layer structure", in the sense that adjacent to the boundary the solution is inhomogeneous, while in the core region the solution is homogeneous. It is found that such solutions have an associated pressure field that is bounded. Inhomogeneous solutions are also possible when the pressure varies logarithmically with the radial coordinate. We also establish explicit exact solutions for specific values of the parameter. The results reduce to the Neo-Hookean solution when the power law exponent is set to unity. © 1992 Kluwer Academic Publishers.

author list (cited authors)

  • Rajagopal, K. R., & Tao, L.

citation count

  • 22

publication date

  • July 1992