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Deformation due to a rectangular tension crack in an elastic half-space

DEPARTMENT OF EARTH AND SPACE SCIENCES UNIVERSITY OF CALIFORNIA AT LOS ANGELES, LOS ANGELES, CALIFORNIA 90024

Abstract

Closed, analytic expressions are given for the displacement fields, their derivatives, and stresses from a rectangular crack in an elastic half-space having Burger's vector normal to its surface. Displacements are found by integration of Volterra's formula over the crack area using Mindlin's (1936) point force solutions for the elastic half-space. Differentiation of the displacement fields yields expressions for calculating stress and strain throughout the medium. Contours of stresses and displacements are given for selected geometries. The expressions for displacements give identical values to those calculated using angular dislocations (Comninou and Dundurs, 1975). All solutions are presented as a FORTRAN subroutine to facilitate practical implementation.

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