Asymptotic solution of three-dimensional elasticity problems of elongated plane tensile cracks

Three-dimensional elasticity problems of plane tensile crack elongated along the plane curve are considered. The asymptotic solution of the problems is obtained by the method of outer and inner expansions applied directly to the two-dimensional integro-differential equation for the displacement of c...

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Bibliographic Details
Published in:International journal of fracture 1986-06, Vol.31 (2), p.83-104
Main Authors: GOLDSTEIN, R. V, KAPTSOV, A. V, KORELSTEIN, L. B
Format: Article
Language:English
Subjects:
Applied sciences
Condensed matter: structure, mechanical and thermal properties
crack propagation
displacement
elasticity
Elasticity. Plasticity
Exact sciences and technology
Fatigue, brittleness, fracture, and cracks
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
integrodifferential equations
Mechanical and acoustical properties of condensed matter
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Mechanical properties of solids
Metals. Metallurgy
numerical analysis
Physics
Solid mechanics
stress
Structural and continuum mechanics
tensile strength
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Summary:Three-dimensional elasticity problems of plane tensile crack elongated along the plane curve are considered. The asymptotic solution of the problems is obtained by the method of outer and inner expansions applied directly to the two-dimensional integro-differential equation for the displacement of crack surface points. The formulas for crack opening and distributions of stress intensity factors are derived for various crack forms. Some estimates are found of the stress intensity factor in the small neighborhoods of ends of the curve along which the crack extends and where the above mentioned asymptotic formulas do not hold. Comparison of obtained results with known analytical and numerical solutions demonstrates the high efficiency of the formulas. (Author)
ISSN:0376-9429
1573-2673
DOI:10.1007/BF00018916