Finite Indentation of Elastic and Elastic-Plastic Membranes by a Spherical Indenter

Abstract

Rotationally symmetric stresses and deformations are considered for a prestressed elastic sheet of circular outer boundary loaded transversely by a centered indenter with a hemispherical tip. A nonlinear membrane solution is obtained for the portion of the sheet that is in frictionless contact with the rigid tip of the indenter. This solution and the nonlinear membrane solution previously obtained by Nachbar for a prestressed annular membrane are used to obtain a complete solution for stresses and deflections of the indented membrane. The indenter problem defined above is reconsidered under the assumption that the membrane is composed of an elastic perfectly plastic material.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0647424

Entities

People

  • N. M. Bhatia
  • W. Nachbar

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Agreements
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Experimental Data
  • Flow
  • Geometry
  • Military Research
  • Modulus Of Elasticity
  • Nonlinear Differential Equations
  • Plastic Deformation
  • Plastic Flow
  • Real Variables
  • Stresses
  • Theses
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.