Abstract
In this paper, stress intensity factors for a crack in a half-plane are considered. The crack is parallel to the stress-free surface of the half-plane and subjected to internal gas pressure. By using Fourier transforms, the mixed boundary value problem is reduced to the solution of a pair of dual integral equations. To solve the equations, the crack surface displacements are expanded in a series of functions which are zero outside the crack. The unknown coefficients in that series are solved with the aid of the Schmidt method. The stress intensity factors are calculated numerically and the results are compared with those given in other papers.
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References
S. K. Das and M. Kaminsky, in Radiation Effects on Solid Surfaces, American Chemical Society, Washington, D.C. (1976) 112–170.
Y. Higashida and K. Kamada, International Journal of Fracture 19 (1982) 39–52.
F. Erdogan, Engineering Fracture Mechanics 3 (1971) 231–240.
E.G. Ladopoulos, Ingenieur-Archiv 58 (1988) 35–46.
W.F. Yau, SIAM Journal of Applied Mathematics 15 (1967) 219–227.
A. Amemiya and T. Taguchi, Numerical Analysis and Fortran, Maruzen, Tokyo (1969).
M. Isida and H. Noguchi, Transaction of Japan Society of Mechanical Engineers 49 (1983) 36–45 (in Japanese).
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Itou, S. Stress intensity factors around a crack parallel to a free surface of a half-plane. Int J Fract 67, 179–185 (1994). https://doi.org/10.1007/BF00019603
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DOI: https://doi.org/10.1007/BF00019603