
Accession Number : ADA119046
Title : Finite Plane Deformation of an Elastic HalfSpace 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 halfplane 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