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Transient Plane Waves in Multilayered Half-Space

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Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Considered the dynamic problem of the theory of elasticity for multilayered half-space. Boundary surface of inhomogeneous half-space loaded with normal load, and the boundaries of separation layers are in conditions of ideal mechanical contact. The formulation involves non-classical separation of equations of motion using two functions with a particular mechanical meaning volumetric expansion and function of acceleration of the shift. In terms of these functions obtained two wave equation, written boundary conditions and the conditions of ideal mechanical contact of layers. Using the Laguerre and Fourier integral transformations was obtained the solution of the formulated problem. The results of the calculation of the stress-strain state in the half-space with a coating for a local impact loading are presented.
Rocznik
Strony
53--57
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
autor
autor
Bibliografia
  • 1. Bedford A., Drumheller D. S. (1994), Introduction to elastic wave propagation. Wiley, New York.
  • 2. Chou S.-C., Greif R. (1968), Numerical solution of stress waves in layered media, AIAA Journal, Vol. 6, 1067-1074.
  • 3. Galazyuk V.A. (1981), Chebyshev-Laguerre polynomials method in mixed problem for a linear differential equation of the second order with constant coefficients, Dopovydy AN USSR, Ser. A, No 1, 3-7, (in Russian).
  • 4. Galazyuk V.A., Chumak A.C. (1991), Nonstationary processes in an elastic layer under high-speed shock-wave loading of the limited region of its surface, Prikl. Mekhanika, Vol. 27, 38-45, (in Russian).
  • 5. Galazyuk V.A., Gorechko A.N. (1983), The general solution of the infinite triangular system of an ordinary differential equations, Ukraine mathematical journal, Vol. 35, 742-745, (in Russian).
  • 6. Pao Y.-H., Mow C.-C. (1973), Difraction of elastic waves and dynamic stress concentrations, New York: Crane, Russak.
  • 7. Poruchikov V.B. (1986), The dynamical elasticity theory methods, Moskow, Nauka, (in Russian).
  • 8. Slyep'yan L.I., Yakovlyev Yu.S. (1980), Integral transformations in nonstationary problems of mechanics, Leningrad, Sudostroyeniye, (in Russian).
  • 9. SzegoG. (1959), Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications.
  • 10. Wankhede P.C., Bhonse B.R. (1980), Elastic vibration in composite cylinders or spheres, Proc. Nat. Acad. Sci., India, Sec.A., Vol. 50, 37-46.
  • 11. Yang J.C.S., Achenbach J.D., (1970), Stresses in multilayered structures under high-rate pressure loads, Pap. ASME, WA/Unt.-14.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPBF-0003-0015
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