The dispersion of harmonic waves propagating in an arbitrary direction in a layered orthotropic elastic composite is studied. The full three-dimensional field equations of elasticity are considered, and the corresponding twelfth order characteristic determinant is examined. Numerical results are obtained and compared with the corresponding estimates of the new quotient method of Nemat-Nasser.
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References
1.
J.E. White and F.A. Angona, "Elastic wave velocities in laminated media," J. Acoust. Soc. Am.27 (1955) 310—317.
2.
Z. Hashin and B.W. Rosen, "The elastic moduli of fiber-reinforced materials," J. Appl. Mech.31 (1914) 223-232.
3.
J.D. Achenbach and G. Herrmann, "Dispersion of free harmonic waves in fiber-reinforced composites," AIAA J., 6 (1968) 1832—1836.
4.
R.B. Nelson and P. Navi, "Harmonic wave propagation in composite materials," J. Acoust. Soc. Am.57 (1975) 773—781.
5.
S. Nemat-Nasser , "General variational methods for elastic waves in composites," J. Elasticity2 (1972) 79—90.
6.
L.M. Brekhouskikh, Waves in layered media, (1980) Academic Press .
7.
S.M. Rytov, "Acoustical properties of a thinly laminated medium," Soviet Physics-Acoustics2 (1956 ) 68-80.
8.
C.T. Sun, J.D. Achenbach and G. Herrmann, "Time-harmonic waves in a stratfied medium propagating in the direction of the layering," J. Appl. Mech.35 (1968) 408-411.
9.
C.T. Sun, J.D. Achenbach and G. Herrmann, "Continuum theory for a laminated medium," J. Appl. Mech.35 (1971) 477—482.
10.
C. Sve, "Time-harmonic waves traveling obliquely in a periodically laminated medium," J. Appl. Mech.38 (1971) 477—482.
11.
A. Bedford and M. Stern, "A multi-continuum theory for composite elastic materials,' ActaMech.14 (1972) 85—102.