Propagation of a Circular Crack in Torsion

Abstract

The propagation of a circular crack under dynamic torsional loading conditions is considered. The crack perimeter speed is taken to be an arbitrary monotonic increasing function of time. A general solution is obtained by means of integral transforms, together with Kostrov's technique; particular results are extracted for an initial value problem and for a suddenly appearing crack problem. The dynamic stresses near the periphery of the crack are found to have an inverse square root singularity.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1976
Accession Number
ADA026533

Entities

People

  • Robert L. Ryan

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Applied Mechanics
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Crack Propagation
  • Differential Equations
  • Engineering
  • Equations
  • Integral Equations
  • Integral Transforms
  • Integrals
  • Mathematics
  • Mechanics
  • Security
  • Square Roots
  • Time Intervals

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science (Mechanical Engineering).
  • Structural Dynamics.