Stress distribution at the edge of an equilibrium crack

Journal Article · Mon Mar 01 04:00:00 EST 1965 · J. Mech. Phys. Solids; (United States)

OSTI ID:6684441

Keer, L M

Using the assumptions of G.I. Barenblatt the problem of determining the stresses over the entire surface of an equilibrium crack is formulated as a mixed-mixed boundary value problem in the classical theory of elasticity. Solutions are obtained for a penny-shaped crack in an infinite, elastic medium under conditions of uniform tension parallel to the axis of the crack and uniform shear parallel to the plane of the crack. The analogous 2-dimensional problem for simple tension is also investigated. The results show that the stress distribution at the edge of the crack depends only slightly upon the applied stresses when compared with the stresses associated with cohesive forces. The distance over which the cohesive forces act is computed in terms of Barenblatt's modulus of cohesion. (10 refs.)

• Research Organization: Columbia University
• OSTI ID: 6684441
• Journal Information: J. Mech. Phys. Solids; (United States), Journal Name: J. Mech. Phys. Solids; (United States) Vol. 12:3; ISSN JMPSA
• Country of Publication: United States
• Language: English

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COMMINUTION
ELASTICITY
ENERGY SOURCES
ENHANCED RECOVERY
FAILURES
FLUIDS
FOSSIL FUELS
FRACTURES
FRACTURING
FUEL GAS
FUELS
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MINERAL RESOURCES
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PETROLEUM
PETROLEUM DEPOSITS
RECOVERY
RESERVOIR ROCK
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STRESSES
TENSILE PROPERTIES