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Home  >  Volume 25 (2013)

Stresses and Deformation in a Neo-Hookean Half-Space Deforming Under Anti-Plane Shear Loading by Erumaka E. N. And Onugha E. E. Volume 25 (Nov2013) pp 77-80
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Anti-plane shear deformation of a Neo-Hookean half-space is studied. The analysis of a cylindrical section of the material leads to a single linear partial differential equation for the determination of stresses and displacement. An asymptotic solution of the boundary value problem is sought for in a Sobolev space of order 2. The method gives exact solutions for the case of a halfspace containing a central circular cavity and the case in which the central cavity is patched with a solid inclusion.