A PROBLEM IN VISCO-PLASTICITY

Abstract

The thin circular plate considered in this investigation is simply supported along its edge and made of an incompressible rigid, visco-plastic material. The stress analysis is based on the model of Bingham solid (Fluidity and Plasticity, pp. 215-218, McGraw-Hill, N. Y., 1922) A linearized theory of visco-plasticity is used to treat the bending of the plate, where it is subjected to a uniformly distributed transverse load. A solution to this boundary-value problem consists of the stress field, the velocity field, and the associated field of the rate of deformation. A theorem according to Prager (Linhere it is subjected to a uniformly distributed transverse load. A solution to this boundary-value problem consists of the stress field, the velocity field, and the associated field of the rate of deformation. A theorem according to Prager (Linearization In Visco-Plasticity, Brown University Tech. Report No. 64, pp. 5-7, Providence, R. I. 1960) shows that the field of the rate of deformation is unique.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1961
Accession Number
AD0251497

Entities

People

  • E.j. Appleby

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Materials
  • Mechanical Properties
  • Mechanics
  • Physical Properties
  • Plastic Properties
  • Stratified Fluids
  • Stress Analysis
  • Stresses
  • Transverse
  • Universities

Fields of Study

  • Mathematics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Structural Dynamics.