Strain Energy Release Rate for a Crack under Combined Mode I and Mode II.

Abstract

The energy release rate for a crack subjected simultaneously to mode I and mode II conditions is computed. The energy was computed by path-independent integrals, using the elastic solution of a deflected crack, having a main branch and a propagation branch. The elasticity solution was obtained from the functional integral equations by the process of iterations. This process leads to a point-wise exact solution in the limit as the propagation branch goes to zero. Using the Griffith-Irwin criterion, incipient paths of propagation of such a crack were obtained from the maximum value of the energy release rate. An experiment, which gives a pure mode II condition at the tip of the crack, was devised. The results were in excellent agreement with the theory. The energy release rate, in parametric form, can be used for any crack subjected to mode I and mode II loading conditions. (Author, modified-PL)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0768706

Entities

People

  • J. H. Underwood
  • M. A. Hussain
  • S. L. Pu

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Agreements
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Iterations
  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).
  • Structural Health Monitoring of Composite Structures.