Abstract
The dynamic stress intensity factors for a semi-infinite crack in an otherwise unbounded elastic body is investigated. The crack is subjected to a pair of suddenly-applied shear point loads on its faces at a distance l away from the crack tip. This problem is treated as the superposition of two problems. The first problem considers the disturbance by a concentrated shear force acting on the surface of an elastic half space, while the second problem discusses a half space with its surface subjected to the negative of the tangential surface displacements induced by the first problem in the front of the crack edge. A fundamental problem is proposed and solved by means of integral transforms together with the application of the Wiener–Hopf technique and Cagniard–de Hoop method. Exact expressions are then derived for the mode II and III dynamic stress intensity factors by taking integration over the fundamental solution. Some features of the solutions are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Achenbach, J.D. and Gautesen, A.K. (1977). Elastodynamic stress intensity factors for a semi–infinite crack under three–dimensional loading. Journal of Applied Mechanics 44, 243–249.
Champion, C.R. (1988). The stress intensity factor history for an advancing crack under three–dimensional loading. International Journal of Solids and Structures 24, 285–300.
Chichang, Chao (1960). Dynamical response of an elastic half–space to tangential surface loadings. Journal of Applied Mechanics 27, 559–567.
Chuntu, Liu and Xiangping, Li (1994). A half plane crack under three–dimensional combined mode impact loading. Acta Mechanica Sinica 10, 40–48.
Eringen, A.C. and Suhubi, E.S. (1975). Elastodynamics(Vol. 2), Academic Press, New York.
Freund, L.B. (1971). The oblique reflection of a Rayleigh wave from a crack tip. International Journal of Solids and Structures 7, 1199–1210.
Freund, L.B. (1987). The stress intensity factor due to three dimensional transient loading on the faces of a crack. Journal of Mechanics and Physics of Solids 35, 61–72.
Freund, L.B. (1990). Dynamic Fracture Mechanics, Cambridge University Press, Cambridge.
Ramirez, J.C. (1987). The three dimensional stress intensity factor due to the motion of a load on the faces of a crack. Quarterly of Applied Mathematics XLV, 361–376.
Xiangping, Li and Chuntu, Liu (1994). The three–dimensional dynamic stress intensity factor under the moving loads on the faces of a crack. Acta Mechanica Solida Sinica 15, 95–103.
Xiangping, Li and Chuntu, Liu (1994). Elastodynamic stress intensity factor history for a semi–infinite crack under three–dimensional transient loading. Science in China(Series A) 37, 1053–1061.
Xiangping, Li and Chuntu, Liu (1995). Elastodynamic stress intensity factors for a semi–infinite crack under 3–D combined mode loading. International Journal of Fracture 69, 319–339.
Xiaohua, Zhao (1997). Elastodynamic stress intensity factor due to three–dimensional concentrated transient loading on the faces of a crack. Science in China(Series E) 40, 269–278.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhao, X., Xia, H. Elastodynamic stress intensity factors for a semi-infinite crack due to three-dimensional concentrated shear loadings on the crack faces. International Journal of Fracture 94, 1–16 (1998). https://doi.org/10.1023/A:1007564701454
Issue Date:
DOI: https://doi.org/10.1023/A:1007564701454