Abstract
A three-dimensional problem on the contact interaction between the faces of a rectangular crack under a normally incident harmonic tension–compression wave is considered. The problem is solved by using the method of boundary integral equations and an iterative algorithm. The contact forces and the discontinuity in the displacement of the crack faces are studied. The results obtained are compared with those for a finite plane crack.
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REFERENCES
A. N. Guz and V. V. Zozulya, Brittle Fracture of Materials under Dynamic Loads, Vol. 4 of the four-volume series Nonclassical Problem of Fracture Mechanics [in Russian], Naukova Dumka, Kiev (1993).
V. V. Zozulya, “Hadamard-type integrals in dynamic problems of crack theory,” Dop. AN URSR, No. 2, 19–22 (1991).
C. A. Brebbia, J. C. F. Telles, and L. C. Wrobel, Boundary Element Techniques. Theory and Applications in Engineering, Springer-Verlag, Berlin (1984).
A. N. Guz and V. V. Zozulya, “Problems of dynamic facture mechanics, taking into account the contact interaction of the crack faces,” Prikl. Mekh., 31, No. 1, 3–36 (1995).
V. V. Zozulya and P. I. Gonzales-Chi, “Weakly singular, singular, and hypersingular integrals in elasticity and fracture mechanic,” J. Chinese Inst. Eng., 22, No. 6, 763–775 (1999).
V. V. Zozulya and V. A. Men'shikov, “Solution of tree-dimensional problems of the dynamic theory of elasticity for bodies with cracks using hypersingular integrals,” Int. Appl. Mech., 36, No. 1, 74–81 (2000).
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Zozulya, V.V., Men'shikov, A.V. Contact Interaction of the Faces of a Rectangular Crack under Normally Incident Tension–Compression Waves. International Applied Mechanics 38, 302–307 (2002). https://doi.org/10.1023/A:1016026026613
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DOI: https://doi.org/10.1023/A:1016026026613