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Dynamic Problems for Discontinuous Media

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Abstract

The main trends in the analysis of dynamic problems for discontinuous media are briefly outlined. An efficient method is proposed to solve such problems for semibounded layered media. Functional matrix relations in a new form are derived for the basic dynamic characteristics of the problem

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REFERENCES

  1. V. A. Babeshko, The Generalized Method of Factorization in Three-Dimensional Dynamic Mixed Problems of the Theory of Elasticity [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  2. V. A. Babeshko, “Problem of dynamic fracture of cracked layered bodies,” Dokl. AN SSSR, 207, No. 2, 324–327 (1989).

    Google Scholar 

  3. V. A. Babeshko, “Problem of studying the dynamic properties of cracked layered bodies,” Dokl. AN SSSR, 304, No. 2, 317–321 (1989).

    Google Scholar 

  4. V. A. Babeshko, “Media with heterogeneities (a set of inclusions and heterogeneities),” Izv. RAN, Mekh. Tverd. Tela, No. 3, 5-9 (2000).

  5. V. A. Babeshko, “Theory of vibration-strength viruses for a set of inclusions,” Izv. VUZov, Sev.-Kavk. Reg., No. 3, 21-23 (2000).

  6. V. A. Babeshko, V. V. Buzhan, and R. T. Williams, “Vibration-strength viruses in elastic solids: The half-space case,” Dokl. RAN, 385, No. 3, 332–333 (2002).

    Google Scholar 

  7. V. A. Babeshko, I. I. Vorovich, and I. F. Obraztsov, “The phenomenon of high-frequency resonance in semibounded bodies with heterogeneities,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 3, 74-83 (1990).

    Google Scholar 

  8. V. A. Babeshko, A. V. Pavlova, S. V. Ratner, and R. T. Williams, “Solving the vibration problem for an elastic body containing internal cavities,” Dokl. RAN, 382, No. 5, 625–628 (2002).

    Google Scholar 

  9. V. A. Babeshko, A. V. Pavlova, and S. V. Ratner, “The vibration problem for a half-space with internal cracks,” Izv. VUZov, Sev.-Kavk. Reg., No. 3, 36-38 (2002).

    Google Scholar 

  10. V. A. Babeshko, O. D. Pryakhina, and A. V. Smirnova, “Solving dynamic problems for layered media with discontinuous boundary conditions,” Izv. VUZov, Sev.-Kavk. Reg., anniversary issue, 80-82 (2002).

  11. S. A. Barsukov, E. V. Glushkov, and N. V. Glushkova, “Singularity of stresses at the corner points of the crack front at the interface of two media,” Izv. RAN, Mekh. Tverd. Tela, No. 2, 77-85 (2002).

    Google Scholar 

  12. O. A. Vatul'yan and A. N. Solov'ev, “Identification of plane cracks in an elastic medium,” Ékol. Vestn. Nauchn. Tsentrov ChÉS, No. 1, 23-28 (2003).

  13. O. A. Vatul'yan, I. I. Vorovich, and A. N. Solov'ev, “One class of boundary problems in the dynamic theory of elasticity,” Prikl. Mat. Mekh., 64, No. 3, 373–380 (2000).

    Google Scholar 

  14. I. I. Vorovich, V. A. Babeshko, and O. D. Pryakhina, Dynamic Behavior of Massive Bodies and Resonance Phenomena in Deformable Media [in Russian], Nauchn. Mir, Moscow (1999).

    Google Scholar 

  15. E. V. Glushkov and N. V. Glushkova, “Singularities of the stress field at the tip of a spatial wedge-shaped crack,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 4, 82-86 (1992).

  16. E. V. Glushkov, N. V. Glushkova, and A. V. Ekhlakov, “Mathematical model of ultrasonic detection of spatial cracks,” Prikl. Mat. Mekh., 66, No. 1, 147–156 (2002).

    Google Scholar 

  17. E. V. Glushkov and N. V. Glushkova, “Diffraction of elastic waves by arbitrary spatial cracks,” Prikl. Mat. Mekh., 60, No. 2, 282–289 (1996).

    Google Scholar 

  18. A. N. Guz, “Formulation of problems in dynamic fracture mechanics,” Izv. VUZov, Sev.-Kavk. Reg., No. 3, 54-56 (2000).

  19. A. N. Guz and V. T. Golovchan, Diffraction of Elastic Waves in Multiply Connected Bodies [in Russian], Naukova Dumka, Kiev (1972).

    Google Scholar 

  20. A. N. Guz, V. D. Kubenko, and M. A. Cherevko, Diffraction of Elastic Waves [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  21. I. A. Guz, “Design models in the three-dimensional theory of stability (piecewise-homogeneous medium) for composites with interfacial cracks,” Prikl. Mekh., 29, No. 4, 31–39 (1993).

    Google Scholar 

  22. V. V. Zozulya, “Harmonic loading of the faces of two collinear cracks in a plane,” Prikl. Mekh., 28, No. 3, 43–45 (1992).

    Google Scholar 

  23. G. S. Kit, V. V. Mikhas'kiv, and O. M. Hai, “Boundary-element analysis of the steady-state vibrations of plane, perfectly rigid inclusion in a three-dimensional elastic body,” Prikl. Mat. Mekh., 66, No. 5, 855–864 (2002).

    Google Scholar 

  24. V. Z. Parton and V. G. Boriskovskii, Dynamic Fracture Mechanics [in Russian], Mashinostroenie, Moscow (1985).

    Google Scholar 

  25. L. I. Slepyan, Mechanics of Cracks [in Russian], Sudostroenie, Leningrad (1990).

    Google Scholar 

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Authors and Affiliations

  1. Kuban State University, Krasnodar, Russia

    V. A. Babeshko, O. D. Pryakhina & A. V. Smirnova

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  1. V. A. Babeshko
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  2. O. D. Pryakhina
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  3. A. V. Smirnova
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Babeshko, V.A., Pryakhina, O.D. & Smirnova, A.V. Dynamic Problems for Discontinuous Media. International Applied Mechanics 40, 241–245 (2004). https://doi.org/10.1023/B:INAM.0000031906.12860.c2

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  • DOI: https://doi.org/10.1023/B:INAM.0000031906.12860.c2

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