Accession Number : ADA119046

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

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Connolly,Jeremiah F

PDF Url : ADA119046

Report Date : Jul 1982

Pagination or Media Count : 39

Abstract : 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)

Descriptors :   *Mathematical analysis, *Nonlinear differential equations, *Surface chemistry, *Solids, *Elastic properties, *Plastic deformation, Loads(Forces), Shear properties, Finite difference theory, Stresses, Displacement, Equilibrium(General), Incompressibility, Applied mathematics

Subject Categories : Physical Chemistry
      Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE