Finite Plane Deformation of an Elastic Half-Space Due to a Concentrated Surface Load.

摘要

In this paper the fully nonlinear equilibrium theory of homogeneous and isotropic, incompressible elastic solids is used to study the elastostatic field in plane strain on a half-plane deformed by a concentrated surface load. Under suitable restrictions on the form of the elastic potential at severe deformations, it is shown that, for materials which ultimately 'harden' in simple shear, the displacement is bounded near the point of application of the load. This is not the case for materials which ultimately soften in shear. Estimates of the true stress tensor near the singular point are given. (Author)