Abstract
An oblique edge crack problem in a semi-infinite plane is discussed. The concentrated forces are applied on the edge crack face, or on the line boundary of the cracked semi-infinite plane. The rational mapping function approach is suggested to solve the boundary value problem and a solution in a closed form is obtained. Finally, several numerical examples with the calculated results are given.
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References
Hartranft R J, Sih G C. Alternating method applied to edge and surface crack problems[A]. In: G C Sih Ed. Mechanics of Fracture[C]. Vol 1,1973,177-238.
Nisitani H. Stress intensity factor for the tension of a semi-infinite plate having an oblique or a bent edge crack[J]. Trans Japan Soc Mech Engrs,1975,41(344):1103-1110.
Hasebe N, Inohara S. Stress analysis of a semi-infinite plate with an oblique edge crack[J]. Ingen Arch,1980,49(1):51-62.
Hasebe N. An edge crack in semi-infinite plate welded to a rigid stiffener[J]. Proc Japan Soc Civil Engrs,1981,314(10):149-157.
Hasbe N, Okumura M, Takeuchi T, et al. Mixed boundary value problem of simple support type in plane elasticity[J]. Acta Mech,1988,73(1):199-212.
Okumura M, Hasebe N, Nakamura T. A crack and a debonding at an end of a simple support in plane elasticity[J]. Acta Mech,1988,74(1):139-153.
Hasebe N, Nakamura T, Ito Y. Analysis of the second mixed boundary value problem for a thin plate[J]. J Appl Mech,1994,61(3):555-559.
Imai I. Conformal Mapping and Its Application[M]. Tokyo: Iwanami Shoten,1979.
Mushelishvili N I. Some Basic Problems of Mathematical Theory of Elasticity [M]. Gronigen: Noordhoff, 1953.
Hasebe N, Okumura M, Nakamura T. Bonded bi-materials half-planes with semi-elliptical notch under tension along the interface[J]. J Appl Mech,1992,59(1):77-83.
CHEN Yi-zhou. Elastic analysis of an infinite plate containing hole with cusps and applied by concentrated forces[J]. Engng Fract Mech,1984,20(4):573-582.
Hasebe N, Chen Y Z. Interaction between a hole edge crack and a line crack[J]. Int J Fract, 1996,77(4):351-366.
Hasebe N, Horiuchi Y. Stress analysis for a strip with semi-elliptical notches or cracks on both sides by means of rational mapping function[J]. Ingen arch,1978,47:169-179.
Hasebe N, Natsuura S. Stress analysis of a strip with a step and a crack[J]. Engng Fract Mech, 1984,20(3):447-460.
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Chen, Yz., Hasebe, N. An Edge Crack Problem in a Semi-Infinite Plane Subjected to Concentrated Forces. Applied Mathematics and Mechanics 22, 1279–1290 (2001). https://doi.org/10.1023/A:1016374022953
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DOI: https://doi.org/10.1023/A:1016374022953