A TWO DIMENSIONAL CRACK PROBLEM

The problem of determining the distribution of stress in the neighborhood of a crack in an infinitely long elastic strip is considered. In recent theories of fracture, the determination of stress in the neighborhood of a crack in an elastic body plays an important role. The theory of cracks in a two...

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Bibliographic Details
Main Author: Lowengrub, Morton
Format: Report
Language:English
Subjects:
BOUNDARY VALUE PROBLEMS
CRACKS
DISTRIBUTION THEORY
FRACTURE(MECHANICS)
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Summary:The problem of determining the distribution of stress in the neighborhood of a crack in an infinitely long elastic strip is considered. In recent theories of fracture, the determination of stress in the neighborhood of a crack in an elastic body plays an important role. The theory of cracks in a two dimensional elastic medium was first developed by Griffin who succeeded in solving the equations of elastic equilibrium for a space bounded by two concentric coaxial ellipses. The problems discussed in this paper are the two dimensional analogues of the three dimensional problems considered by the author. Problems of this type have also been considered by Collins. He uses a representation of the dis lacement vector as given in Green and Zerna to solve the equations of elastic equilibrium. It is assumed that the equations of the classical (infinitesimal) theory of elasticity hold. (Author)