Phase Velocity and Attenuation of SH Waves in a Fiber-Reinforced Composite
Chapter
Abstract
We consider SH wave propagation in a fiber-reinforced composite which consists of a homogeneous, isotropic matrix, containing long, parallel, randomly distributed circular fibers of identical properties. The scattering of waves in the elastically inhomogeneous medium results in a frequency dependent velocity and attenuation of the coherent wave.
Keywords
Pair Correlation Function Cylindrical Inclusion Coherent Wave Effective Shear Modulus Complex Wave Number
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References
- 1.L. L. Foldy, 1945, “The Multiple Scattering of Waves,” Phys. Rev. Vol. 67, pp. 107–119.MathSciNetCrossRefMATHGoogle Scholar
- 2.P. C. Waterman and R. Truell, 1961, “Multiple Scattering of Elastic Waves,” J. Math. Phys., Vol. 2, pp. 512–537.MathSciNetCrossRefMATHGoogle Scholar
- 3.V. Twersky, 1962, “On Scattering of Waves by Random Distributions. I. Free-Space Scatter Formalism,” J. Math. Phys., Vol. 3, pp. 700–715.MathSciNetCrossRefMATHGoogle Scholar
- 4.A. K. Mai and L. Knopoff, 1967 “Elastic Wave Velocities in two component systems”, J. Inst Math. Appl., Vol 3, pp. 376–387.CrossRefGoogle Scholar
- 5.C. M. Sayers, 1980, “On the Propagation of Ultrasound in Highly Concentrated Mixtures and Suspensions,” J. Phys. D: Appl. Phys., Vol. 13, pp. 179–184.CrossRefGoogle Scholar
- 6.S. K. Datta, H. M. Ledbetter, Y. Shindo and A. H. Shah, 1988, “Phase Velocity and Attenuation of Plane Elastic Waves in a Particle-reinforced Composite Medium,” Wave Motion, Vol. 10, pp. 171 - 182.CrossRefMATHGoogle Scholar
- 7.S. K. Bose and A. K. Mai, 1973, “Longitudinal Shear Waves in a Fiber- Reinforced Composite,” Int. J. Solids Structures, Vol. 9, pp. 1075–1085.CrossRefMATHGoogle Scholar
- 8.S. K. Bose and A. K. Mai, 1974, “Elastic Waves in a Fiber-reinforced Composite”, J. Mech. Phys. Solids, Vol. 22, pp. 217–229.CrossRefMATHGoogle Scholar
- 9.A. I. Beltzer and N. Brauner, 1987, “The Dynamic Response of Random Composites by a Causal Differential Method,” Mech. Materials Vol. 6, pp. 337–345.CrossRefGoogle Scholar
- 10.L. Tsang, J. A. Kong and H. Habashy, 1982, “Multiple Scattering of Acoustic Waves by Random Distribution of Discrete Spherical Scatterers with the Quasicrystalline and Percus-Yevick Approximation,” J. Acoust.Soc. Am. Vol. 71, pp. 552–558.MathSciNetCrossRefMATHGoogle Scholar
- 11.Z. Hashin and R. W. Rosen, 1964, “The Elastic Moduli of Fiber-Reinforced Materials,” J. Appl. Mech., Vol. 31, pp. 223–232.CrossRefGoogle Scholar
- 12.R. M. Christensen, 1990, “A critical Evaluation for a Class of Micromechanic Models,” J. Mech. Phys. Solids, Vol. 27, pp. 379–404.CrossRefGoogle Scholar
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© Plenum Press, New York 1993