DOI QR코드

DOI QR Code

Effect of Anisotropic Ratio for Rayleigh Wave of a Half-Infinite Composite Material

반 무한 복합체의 Rayleigh 표면파에 대한 이방성비의 영향

  • Published : 2001.03.01

Abstract

In this paper, when stress waves are propagated along the reinforced direction of the composite, the characteristic equation of Rayleigh wave is derived. The relationships between velocities of stress waves and Rayleigh wave are studied for anisotropic ratios(E(sub)11/E(sub)12 or E(sub)22/E(sub)11). The increments of anisotropic ratios is made by using known material properties and being constant of basic properties. When the anisotropic ratios are increased, Rayleigh wave velocities to the shear wave velocities are almost equal to 1 with any anisotropic ratios. Rayleigh wave velocities to the longitudinal wave velocities and Shear wave velocities ratio to the longitudinal wave velocities are almost identical each other, they are between 0.12 and 0.21. When the anisotropic ration is very high, that is, E(sub)11/E(sub)22=46.88, Rayleigh wave velocities and the shear wave velocities are almost constant with Poissons ratio, longitudinal wave velocities are very slowly increased with the increments of Poissons ratios. When E(sub)11(elastic modulus of the reinforced direction)and ν(sub)12 are constant, Rayleigh wave velocities and the shear wave velocities are steeply decreased with the increments of anisotropic ratios and the velocities of longitudinal wave are almost constant with them. When E(sub)22(elastic modulus of the normal direction to the fiber) and ν(sub)12 are constant, Rayeigh wave velocities is slowly increased with the increments of anisotropic ratios, the shear wave velocities are almost constant with them, the longitudinal wave velocities are steeply increased with them.

Keywords

Half-Infinite Composite Material;Anisotropic Ratio;Poissons Ratio;Rayleigh Wave Velocity;Shear Wave Velocity;Longitudinal Wave Velocity;Rayleigh Wave Equation

References

  1. Sih, G. C., 1969, 'Dynamic Aspects of Crack Propagation,' Proceeding of the Battelle Colloquium on Inelastic Behavior of Solids, pp. 607-639
  2. Zweben, C., Hahan, H. T., and Chou, T. W., 1989, 'Section 1.3 Static Strength and Elastic Properties,' in Mechanical Behavior and Properties of Composite Materials, pp. 68-69
  3. Jaleel, K. M. A., Kishore, N. N., and Sundararajan, 1993, 'Finite-Element Simulation of Elastic Wave Propagation in Orthotropic Composite Materials,' Materials Evaluation, pp. 830-838
  4. Liu, G. R., Tani J., Ohyoshi, T., and Watanabe, K., 1991, 'Characteristic Wave Surface in Anistropic Laminated Plates,' Journal of Vibration and Acoustics, Vol. 113, No. 3, pp. 279-285
  5. Agarwal, B. D. and Broutman, L. J., 1990, Analysis and Performance of Fiber Composite, John Wiley & Sons, Inc., p. 437
  6. Murakami, H., 1985, 'A Mixture Theory for Wave Propagation in Angle-Ply Laminates, Part 1 : Theory,' Journal of Applied Mechanics, Vol. 52, pp. 331-337
  7. Slaughter, W. S., Fan, J., and Eleck, N. A., 1996, 'Dynamic Compressive Failure of Fiber Composites,' Journal of the Mechanics and Physis of Solids, Vol. 44, No. 11, pp. 1867-1890 https://doi.org/10.1016/0022-5096(96)00050-6
  8. Park, H. and Calder, C., 1994, 'Laser-Generated Rayleigh Waves in Graphite/Epoxy Composites,' Exp. Mech., Vol. 34, No. 2, pp. 148-154 https://doi.org/10.1007/BF02325711
  9. Rose, J. I., Nayfeh, A., and Pilarski. A., 1990, 'Surface Waves for Material Characterization,' Transactions of the ASME, Journal of Applied Mechanics, Vol. 57, pp. 7-11
  10. Ross, C. A., 1980, Stress Wave Propagation in Composite Materials, in Dynamic Response of Composite Materials,' Ed. by C. A. Ross, R. L. Sierakowski, and C. T. Sun, Society for Experimental Mechanics(SEM), pp. 1-66
  11. Mal, Ajit K. and Lih, Shyh-shiuh, 1992, 'Elastodynamic Reponse of a Unidirection Composite Laminate to Concentrated Surface Loads: Part II,' J. Appl. Mechs., Vol. 59, No. 4, pp. 887-892
  12. Mal, Ajit K. and Lih, Shyh-shiuh, 1992, 'Elastodynamic Reponse of a Unidirection Composite Laminate to Concentrated Surface Loads: Part I,' J. Appl. Mechs., Vol. 59, No. 4, pp. 878-886
  13. Buchwald, V. T., 1961, 'Rayleigh Waves in Anistropic Media,' Quart. Journ. Mech. and Applied Math., Vol. X IV, Pt. 4, pp. 461-469 https://doi.org/10.1093/qjmam/14.4.461
  14. Ang, D. D., 1960, 'Transient Motion of Line Load on the Surface of an Elastic Half-Space,' Quarterly of Applied Mathematics, Vol. 18, pp. 251-256
  15. Lord Rayleigh, 1885, 'On Waves Propagated Along the Plane Surfaces of an Elastic Solid,' Proceedings Mathematical Society London, Vol. 17, pp. 4-11
  16. Budaev, B. V. and Bogy, D. B., 1995, 'Rayleigh Wave Scattering by a Wedge,' Wave Motion, Vol. 22, pp. 239-257 https://doi.org/10.1016/0165-2125(95)00023-C
  17. Woods, R. D., 1968, Journal of Solids Mechanics, Founds, Am. Soc., Civil Eng., Vol. 94, p. 115
  18. 김재승, 강현주, 김상렬, 1997, '램프형 포인트 하중에 의한 반무한 탄성체의 응력과 해석,' 대한기계학회논문집 A, Vol. 21, No. 4, pp. 673-678
  19. 황갑운, 조규종, 1994, '유한요소법에 의한 2차원 응력파 전파 해석에 관한 연구,' 대한기계학회논문집, Vol. 18, No. 12(통권 111호), pp. 3369-3376