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International Journal of Latest Research in Science and Technology

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SCATTERING OF ELASTIC WAVES IN PERIODIC MEDIA

Research Paper Open Access

International Journal of Latest Research in Science and Technology Vol.3 Issue 4, pp 61-64,Year 2014

SCATTERING OF ELASTIC WAVES IN PERIODIC MEDIA

Sergey v. Kuznetsov

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Received : 08 August 2014; Accepted : 19 August 2014 ; Published : 31 August 2014

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Abstract

A deterministic mathematical model is worked out for analyzing scattering cross-sections, speed, and energy variation of plane elastic body waves propagating in porous media or dispersed composites. The model is based on the two-scale asymptotic analysis combined with the periodic boundary integral equation method.

Key Words   
Elastic waves, Anisotropy, Scattering, Dispersed composite, Porous composite
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References
  1. S. Bakhvalov, Homogenized characteristics of bodies with periodic structure (in Russian), Dokl. AN USSR, 218, (1974), 1046–1048.
  2. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotic analysis for periodic structures, North-Holland Publ., Amsterdam (1978).
  3. Sanchez-Palencia, Homogenization method for the study of composite media, Asymptotic Analysis II, (1983), 192-214.
  4. Nemat-Nasser, T. Iwakuma, M. Hejazi, On composite with periodic microstructure, Mech. Mater., 1, (1982), 239–267.
  5. Nemat-Nasser, M. Taya, On effective moduli of an elastic body containing periodically distributed voids, Quart. Appl. Math., 39, (1981), 43–59.
  6. Nemat-Nasser, M. Taya, On effective moduli of an elastic body containing periodically distributed voids: comments and corrections, Quart. Appl. Math., 43, (1985), 187-188.
  7. S. Sangani, A. Acrivos, Slow flow through a periodic array of spheres, Int. J. Multiphase Flow, 8, (1982), 343 -360.
  8. S. Sangani, W. Lu, Elastic coefficients of composites containing spherical inclusions in a periodic array, J. Mech. Phys. Solids, 35, (1987), 1-21.
  9. Hasimoto, On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres, J. Fluid Mech., 5, (1959), 317-328.
  10. C. Nunan, J. B. Keller, Effective elasticity tensor of a periodic composite, J. Mech. Phys. Solids, 32, (1984), 259-280.
  11. V. Kuznetsov, Periodic fundamental solutions for anisotropic media (in Russian), Izv. RAN. MTT., (1991), 4, 99-104.
  12. V. Kuznetsov, Effective elasticity tensors for dispersed composites (in Russian), Prikl. Matem. Mech., 57, (1993), 103-109.
  13. V. Kuznetsov, Porous media with internal pressure (in Russian), Izv. RAN. MTT., (1993), 6, 22-28.
  14. V. Kuznetsov, Microstructural stresses in porous media (in Russian), Prikl. Mech., 27, (1991), 23-28.
  15. V. Kuznetsov, Wave scattering in porous media (in Russian), Izv. RAN. MTT., (1995), 3, 81-86.
  16. K. Bose, A. K. Mal, Longitudinal shear waves in a fiber-reinforced composite, Int. J. Solids Struct., 9, (1979), p.1075-1085.
  17. K. Datta, Diffraction of plane elastic waves by ellipsoidal inclusions, J. Acoust. Soc. Am., 61, (1977), 1432-1437.
  18. J. Sadina, J. R. Willis, A simple self-consistent analysis of wave propagation in particulate composites, Wave Motion, 10, (1988), 127-142.
  19. Piau, Attenuation of a plane compressional wave by a random distribution in thin circular cracks, Int. J. Eng. Sci., 17, (1979), 151-167.
  20. R. Willis, A polarization approach to the scattering of elastic waves – II. Multiple scattering from inclusions, J. Mech. Phys. Solids, 28, (1980), 307-327.
  21. E. Gubernatis, Long-wave approximations for the scattering of elastic waves from flaws with applications to ellipsoidal voids and inclusions, J. Appl. Phys., 50, (1979), 4046-4058.
  22. E. Gubernatis, E. Domani, J. A. Krumhasl, Formal aspects of the theory of the scattering of ultrasound by flaws in elastic materials, J. Appl. Phys., 48, (1977), 2804-2811.
  23. L. Berdichevskij, Spatial homogeneous of periodic structures (in Russian), Dokl. AN SSSR, 222, (1975), 565-567.
  24. C. Waterman, Matrix theory of elastic wave scattering, J. Acoust. Soc. Am., 60, (1976), 567-580.
  25. J. Ruschitskij, I. A. Ostrakov, Distortion of plane harmonic wave in a composite material, Dokl. AN USSR, (1991), 11, 51-54.
  26. V. Kuznetsov, Fundamental solutions for Lamé’s equations in anisotropic elasticity (in Russian), Izv. RAN. MTT., (1989), 4, 50-54.
  27. V. Kuznetsov, Direct Boundary Integral equation Method in the Theory of Elasticity, Quart. Appl. Math., 53, (1995), 1-8.
To cite this article

Sergey v. Kuznetsov , " Scattering Of Elastic Waves In Periodic Media ", International Journal of Latest Research in Science and Technology . Vol. 3, Issue 4, pp 61-64 , 2014


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