
Accession Number : ADA137275
Title : The Propagation and Arrest of an Edge Crack in an Elastic HalfSpace under Conditions of AntiPlane Shear: Analytical and Numerical Results.
Descriptive Note : Technical rept.,
Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
Personal Author(s) : O'Sullivan,T C
PDF Url : ADA137275
Report Date : Sep 1983
Pagination or Media Count : 70
Abstract : The motion of an edge crack extending nonuniformly in an elastic halfspace under conditions of antiplane shear is analyzed. An expression for the stress intensity factor at the crack tip is obtained, and an energy balance crack propagation criterion is used to find the equation of motion of the tip. On solving this equation numerically, it is found that crack arrest occurs before the second reflected wave from the boundary reaches the tip. In the second half of this investigation, a numerical procedure for studying antiplane shear crack propagation problems using finite differences is developed. To approximate the elastodynamic field as accurately as possible near the moving crack tip, where singular stresses occur, the local asymptotic displacement field near the tip is incorporated into the finite difference scheme. The numerical procedure is applied to the edge crack problem analyzed in the first part of this study, and the numerical and exact results are compared. (Author)
Descriptors : *Numerical methods and procedures, *Crack propagation, *Arresting(Process), Shear stresses, Edges, Finite difference theory, Equations of motion, Stresses, Stress concentration, Elastic properties, Deformation, Isotropism
Subject Categories : Numerical Mathematics
Solid State Physics
Distribution Statement : APPROVED FOR PUBLIC RELEASE