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Critical Phenomena in Cracking of the Interface Between Two Prestressed Materials. 1. Problem Formulation and Basic Relations

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Abstract

Problems are formulated for critical phenomena accompanying the cracking of the interface between two different materials with initial stresses. The basic relations of the three-dimensional linearized dynamic theory of elasticity are used. Complex potentials are applied to a plane problem in the three-dimensional linearized dynamic theory of elasticity.

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REFERENCES

  1. G. I. Barenblatt and G. P. Cherepanov, “On wedging of a brittle body,” Prikl. Mat. Mekh., 24, No. 4, 666–682 (1960).

    Google Scholar 

  2. G. I. Barenblatt and G. P. Cherepanov, “On equilibrium and cracking of an anisotropic medium,” Prikl. Mat. Mekh., 25, No. 1, 46–55 (1961).

    Google Scholar 

  3. A. N. Guz, “On one fracture criteria for rigid bodies compressed along cracks. Plane problem,” Dokl. AN SSSR, 259, No. 6, 1315–1318 (1981).

    Google Scholar 

  4. A. N. Guz, Mechanics of Brittle Fracture of Prestressed Materials [in Russian], Naukova Dumka, Kiev (1983).

    Google Scholar 

  5. A. N. Guz (general editor), Brittle Fracture of Prestressed Materials, Vol. 2 of the four-volume five-book series Nonclassical Problems of Fracture Mechanics [in Russian], Naukova Dumka, Kiev (1991).

    Google Scholar 

  6. A. N. Guz, “Moving cracks in elastic prestressed bodies,” Prikl. Mekh., 18, No. 2, 60–67 (1982).

    Google Scholar 

  7. A. N. Guz, “Dynamic problems in the mechanics of brittle fracture of prestressed materials with moving cracks. 1. Problem formulation and general relations,” Prikl. Mekh., 34, No. 12, 3–15 (1998).

    Google Scholar 

  8. A. N. Guz, “Dynamic problems of the mechanics of brittle fracture of materials with initial stresses for moving cracks. 2. Cracks of normal separation (mode I),” Int. Appl. Mech., 35, No. 1, 1–12 (1999).

    Google Scholar 

  9. A. N. Guz, “Dynamic problems of the mechanics of brittle fracture of materials with initial stresses for moving cracks. 3. Transverse-shear (mode II) and longitudinal-shear (mode III) cracks,” Int. Appl. Mech., 35, No. 2, 109–119 (1999).

    Google Scholar 

  10. A. N. Guz, “Dynamic problems of the mechanics of brittle fracture of materials with initial stresses for moving cracks. 4. Wedge problems,” Int. Appl. Mech., 35, No. 3, 225–232 (1999).

    Google Scholar 

  11. J. W. Craggs, “On the propagation of a crack in an elastic-brittle materials,” J. Mech. Phys. Solids, 8, No. 1, 66–75 (1960).

    Google Scholar 

  12. I. D. Eshelby, “Uniformly moving dislocation,” Proc. Roy. Soc., A62, Pt. 5, No. 353, 131 (1949).

    Google Scholar 

  13. A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin (1999).

    Google Scholar 

  14. A. N. Guz and I. A. Guz, “The stability of the interface between two bodies compressed along interface cracks. 1. Exact solutions for the case of unequal roots,” Int. Appl. Mech., 36, No. 4, 482–491 (2000).

    Google Scholar 

  15. A. N. Guz and I. A. Guz, “The stability of the interface between two bodies compressed along interface cracks. 2. Exact solutions for the case of equal roots,” Int. Appl. Mech., 36, No. 5, 615–622 (2000).

    Google Scholar 

  16. A. N. Guz and I. A. Guz, “The stability of the interface between two bodies compressed along interface cracks. 3. Exact solutions for the combined case of equal and unequal Roots,” Int. Appl. Mech., 36, No. 6, 759–768 (2000).

    Google Scholar 

  17. E. Yoffe, “The moving Griffith crack,” Phil. Mag., 4, No. 330, 739–750 (1951).

    Google Scholar 

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Guz, A.N. Critical Phenomena in Cracking of the Interface Between Two Prestressed Materials. 1. Problem Formulation and Basic Relations. International Applied Mechanics 38, 423–431 (2002). https://doi.org/10.1023/A:1016216527851

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