THE BURSTING SPEED OF A ROTATING PLASTIC DISC

Abstract

An analysis is presented of the stresses and strains in a fully plastic, initially uniform, rotating annular disk composed of a strain-hardening material. The analysis is based on Tresca's yield condition and the associated flow rule and assumes that elastic strains may be neglected in comparison to the finite plastic strains. The bursting speed of the disk is expressed in terms of a definite integral involving the strain-hardening function of the material. Analytical evaluations are presented for linear and logarithmic strain- hardening. In the former case, instability occurs only at the onset of plastic flow; for the latter, considerable plastic deformation of a stable character may occur before instability is reached. In general, the integral must be evaluated numerically.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1953
Accession Number
AD0016990

Entities

People

  • H. J. Weiss
  • W. Prager

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Equations
  • Flow
  • Hardening
  • Integrals
  • Materials
  • Mechanics
  • Particles
  • Plastic Deformation
  • Plastic Flow
  • Radial Stress
  • Radial Velocity
  • Strain Hardening
  • Strain Rate
  • Stress Strain Relations
  • Stresses
  • Thickness

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Structural Dynamics.