Abstract
To gain insight into the phenomenon of the interaction of stress waves with material defects and the linkage of two cracks, the transient response of two semi-infinite inclined cracks subjected to dynamic loading is examined. The solutions are obtained by the linear superposition of fundamental solutions in the Laplace transform domain. The fundamental solution is the exponentially distributed traction on crack faces proposed by Tsai and Ma [1]. The exact closed form solutions of stress intensity factor histories for these two inclined cracks subjected to incident plane waves and diffracted waves are obtained explicitly. These solutions are valid for the time interval from initial loading until the first wave scattered at one crack tip returns to the same crack tip after being diffracted by another crack tip. The result shows that the contribution of diffracted waves to stress intensity factors is much less than the incident waves. The probable crack propagation direction is predicted from the fracture criterion of maximum circumferential tensile stress. The linkage of these two cracks is also investigated in detail.
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References
C.H. Tsai and C.C. Ma, Journal of Applied Mechanics (1992) in press.
K. Ravi-Chandar and W.G. Knauss, International Journal of Fracture 26 (1984) 65–80.
K. Ravi-Chandar and W.G. Knauss, International Journal of Fracture 26 (1984), 141–154.
A.J. Rosakis, J. Duffy and L.B. Freund, Journal of the Mechanics and Physics of Solids 32 (1984) 443–460.
R.V. Mahajan and K. Ravi-Chandar, International Journal of Fracture 41 (1989) 235–252.
B. Noble, The Wiener-Hopf Technique, Pergamon Press (1958).
A.T. de Hoop, ‘Representation Theorems for the Displacement in an Elastic Solid and Their Application to Elastodynamic Diffraction Theory’, Doctoral dissertation, Technische Hogeschool, Delft (1958).
L.B. Freund, International Journal of Engineering Science 12 (1974) 179–189.
L.M. Brock, International Journal of Solids and Structures 18 (1982) 467–477.
L.M. Brock, Journal of Elasticity 14 (1984) 415–424.
L.M. Brock, M. Jolles and M. Schroedl, Journal of Applied Mechanics 52 (1985) 287–290.
C.C. Ma and Y.C. Hou, Journal of Engineering Science 28 (1990) 1321–1329.
C.C. Ma and Y.C. Hou, Journal of Applied Mechanics 58 (1991) 703–709.
Y.J. Lee and L.B. Freund, Journal of Applied Mechanics 57 (1990) 104–111.
D.L. Jain and R.P. Kanwal, International Journal of Solids and Structures 8 (1972) 961–975.
S. Itou, International Journal of Solids and Structures 16 (1988) 1147–1153.
J.Y. Huang and H. So, Engineering Fracture Mechanics 29 (1988) 335–347.
C.H. Zhang and J.D. Achenbach, Journal of Applied Mechanics 55 (1988) 104–110.
C.H. Tsai and C.C. Ma, International Journal of Solids and Structures (1992) in press.
C.H. Tsai and C.C. Ma, International Journal of Solids and Structures (1992), submitted.
F. Erdogan and G.C. Sih, Journal of Basic Engineering 85 (1963) 519–527.
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Tsai, CH., Ma, CC. The interaction of two inclined cracks with dynamic stress wave loadings. Int J Fract 58, 77–91 (1992). https://doi.org/10.1007/BF00019752
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DOI: https://doi.org/10.1007/BF00019752