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

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)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1982
Accession Number
ADA119046

Entities

People

  • Jeremiah F. Connolly

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • California
  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Displacement
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Hardening
  • Hydrostatic Pressure
  • Materials
  • Shear Modulus
  • Stresses
  • Surface Properties
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.

Technology Areas

  • Space