On a problem in the dynamic theory of cracks

Tait, R. J.; Moodie, T. Bryant

doi:10.1090/qam/636245

Authors: R. J. Tait and T. Bryant Moodie
Journal: Quart. Appl. Math. 39 (1981), 419-423
MSC: Primary 73M05
DOI: https://doi.org/10.1090/qam/636245
MathSciNet review: 636245
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Abstract: We show that it is possible, for a certain case of a traveling crack problem, to obtain an explicit solution, in the entire region of interest, in terms of elementary functions. This affords a simple way of constructing level stress curves in the entire region, in contrast with the general case when simple expressions are obtainable at best along a particular axis.

R. J. Tait and T. Bryant Moodie, Complex variable methods and closed form solutions to dynamic crack and punch problems in the classical theory of elasticity, Internat. J. Engrg. Sci. 19 (1981), no. 2, 221–229. MR 660549, DOI https://doi.org/10.1016/0020-7225%2881%2990022-7
B. M. Singh, T. Bryant Moodie, and J. B. Haddow, Closed-form solutions for finite-length crack moving in a strip under antiplane shear stress, Acta Mech. 38 (1981), no. 1-2, 99–109. MR 602014, DOI https://doi.org/10.1007/BF01351465

G. C. Sih and E. P. Chen, Mechanics of fracture, in Elastodynamic crack problems, ed. G. C. Sih, Noordhoff, International Publishing (1977), Vol. 4, Chap. 2

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F. D. Gakhov, Boundary value problems, Pergamon Press, Oxford-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1966. Translation edited by I. N. Sneddon. MR 0198152