The three-dimensional stress intensity factor due to the motion of a load on the faces of a crack
Author:
Jean-Claude Ramirez
Journal:
Quart. Appl. Math. 45 (1987), 361-375
DOI:
https://doi.org/10.1090/qam/99610
MathSciNet review:
QAM99610
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Abstract: The dynamic stress intensity factor history for a half plane crack in an otherwise unbounded elastic body, with the crack faces subjected to a traction distribution consisting of a pair of point loads that move in a direction perpendicular to the crack edge, is considered. The exact expression for the mode I stress intensity factor as a function of time for any point along the crack edge is obtained by extending a procedure recently introduced by Freund [1]. The method of solution is based on integral transform methods and the theory of analytic functions of a complex variable. Some features of the solution are discussed and graphical results for various point load speeds are presented.
L. B. Freund, The stress intensity factor history due to three dimensional transient loading of the faces of a crack, J. Mech. Phys. Solids 35, 61–72 (1987)
- Dang Dinh Ang, Elastic waves generated by a force moving along a crack, J. Math. and Phys. 38 (1959/60), 246–256. MR 112396
D. C. Gakenheimer and J. Miklowitz, Transient excitation of an elastic half space by a point load traveling on the surface, J. Appl. Mech. 3, 505–515 (1969)
- E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions; Reprint of the fourth (1927) edition. MR 1424469
J. D. Achenbach, Wave propagation in elastic solids, North-Holland, Amsterdam, 1973
- B. Noble, Methods based on the Wiener-Hopf technique for the solution of partial differential equations, International Series of Monographs on Pure and Applied Mathematics, Vol. 7, Pergamon Press, New York-London-Paris-Los Angeles, 1958. MR 0102719
L. B. Freund, The stress intensity factor history due to three dimensional transient loading of the faces of a crack, J. Mech. Phys. Solids 35, 61–72 (1987)
D. D. Ang, Elastic waves generated by a force moving along a crack, J. Math. Phys. 38, 246–256 (1960)
D. C. Gakenheimer and J. Miklowitz, Transient excitation of an elastic half space by a point load traveling on the surface, J. Appl. Mech. 3, 505–515 (1969)
E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge Univ. Press, 1927
J. D. Achenbach, Wave propagation in elastic solids, North-Holland, Amsterdam, 1973
B. Noble, Methods based on the Wiener—Hopf technique, Pergamon, Oxford, 1958
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Article copyright:
© Copyright 1987
American Mathematical Society
