Abstract
The dynamic stress intensity factor histories for a half plane crack in an otherwise unbounded elastic body are analyzed. The crack is subjected to a traction distribution consisting of two pairs of suddenly-applied shear point loads, at a distance L away from the crack tip. The exact expression for the combined mode stress intensity factors as the function of time and position along the crack edge is obtained. The method of solution is based on the direct application of integral transforms together with the Wiener-Hopf technique and the Cagniard-de Hoop method, which were previously believed to be inappropriate. Some features of solutions are discussed and the results are displayed in several figures.
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References
L.B. Freund, Journal of the Mechanics and Physics of Solids 20 (1972) 129–140.
L.B. Freund, Dynamic Fracture Mechanics, Cambridge University Press (1990).
J.D. Achenbach and A. Gautesen, Journal of Applied Mechanics 44 (1977) 243.
L.B. Freund, Journal of the Mechanics and Physics of Solids 35 (1987) 61–72.
J.C. Ramirez, Quaterly of Applied Mathematics XLV (1987) 361–376.
C.R. Champion, International Journal of Solids and Structures 24:3 (1988) 285–300.
M.K. Kuo and S.H. Cheng, International Journal of Solids and Structures 25 6 (1991) 751–768.
M.K. Kuo and T.Y. Chen, Engineering Fracture Mechanics 42: 5 (1992) 805–813.
Li Xiang Ping and Liu Chun Tu, Scientia Sinica A 24: 3 (1994) in Chinese.
J.D. Achenbach, A.K. Gautesen and H. McMaken, Ray Method for Waves in Elastic Solids, Boston (1982).
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Ping, L.X., Tu, L.C. Elastodynamic stress-intensity factors for a semi-infinite crack under 3-D combined mode loading. Int J Fract 69, 319–339 (1995). https://doi.org/10.1007/BF00037382
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DOI: https://doi.org/10.1007/BF00037382