Multiple scattering of elastic waves in metal-matrix composite materials with high volume concentration of particles

European Journal of Mechanics, A/Solids

Volumn 28, Issue 2, 2009, Pages 377-386

  Fang, Xue Qian ^a   Wang, Dao Bin ^a   Liu, Jin Xi ^a  

^a SHIJIAZHUANG TIEDAO UNIVERSITY   (China)

Author keywords

High volume concentration; Multiple scattering of elastic waves; Particle reinforced composite materials; Percus Yevick correlation function; Quasicrystalline approximation

Indexed keywords

CARBON FIBER REINFORCED PLASTICS; COMPOSITE MATERIALS; COMPOSITE MICROMECHANICS; ELASTIC MODULI; ELASTIC WAVES; ELASTICITY; FUNCTIONS; HARMONIC ANALYSIS; MATERIALS; MULTIPLE SCATTERING; PROBABILITY DENSITY FUNCTION; PROGRAMMING THEORY; SCATTERING; WAVES;

HIGH VOLUME CONCENTRATION; MULTIPLE SCATTERING OF ELASTIC WAVES; PARTICLE-REINFORCED COMPOSITE MATERIALS; PERCUS-YEVICK CORRELATION FUNCTION; QUASICRYSTALLINE APPROXIMATION;

METALLIC MATRIX COMPOSITES;

EID: 58749114382     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2008.09.004     Document Type: Article

References (20)

1. Datta, S.K., 1977. Scattering of a random distribution of inclusions and effective elastic properties. In: Proceedings of Continuum Models of Discrete Systems, University of Waterloo
2. Ford F. Aerospace composite. Aircraft Eng. Aerospace Technol. 69 (1997) 334-342
3. Kanaun S.K. Dielectric properties of matrix composite materials with high volume concentrations of inclusions (effective field approach). Int. J. Eng. Sci. 41 (2003) 1287-1312
4. Kanaun S.K., and Levin V.M. Effective medium method in the problem of axial elastic shear wave propagation through fiber composites. Int. J. Solids Struct. 40 (2003) 4859-4878
5. Kanaun S.K., Levin V.M., and Sabina F.J. Propagation of elastic waves in composites with random set of spherical inclusions (effective medium approach). Wave Motion 40 (2004) 69-88
6. Kim J.Y. Dynamic self-consistent analysis for elastic wave propagation in fiber reinforced composites. J. Acoust. Soc. Am. 100 (1996) 2002-2010
7. Kim J.Y. On the generalized self-consistent model for elastic wave propagation in composite materials. Int. J. Solids Struct. 41 (2004) 4349-4360
8. Mcquarrie D.A. Statistical Mechanics (1976), Haper and Row, New York
9. Morse P.M., and Feshbach H. Method of Theoretical Physics (1953), McGraw-Hill Book Company, Inc., New York
10. Nozaki H., and Shindo Y. Effect of interface layers on elastic wave propagation in a fiber-reinforced metal-matrix composite. Int. J. Eng. Sci. 36 4 (1998) 383-394
11. Percus J.K., and Yevick G.J. Analysis of classical statistical mechanics by means of collective coordinates. Phys. Rev. 110 (1958) 1-13
12. Tsang L., and Kong J.A. Effective propagation constants for coherent electromagnetic wave propagation in media embedded with dielectric scatters. J. Appl. Phys. 53 11 (1982) 7162-7173
13. Varadan V.K., Ma Y., and Varadan V.V. A multiple scattering theory for elastic wave propagation in discrete random media. J. Acoust. Soc. Am. 77 2 (1985) 375-385
14. Varadan, V.K., Varadan, V.V., 1978. Characterization of dynamic shear modulus in inhomogeneous media using ultrasonic waves. In: First International Symposium on Ultrasonic Materials Characterization, NBS, Washington, DC
15. Waterman P.C., and Truell R. Multiple scattering of waves. J. Math. Phys. 2 4 (1962) 512-537
16. Wei P.J., and Huang Z.P. Dynamic effective of the particle-reinforced composites with the viscoelastic interphase. Int. J. Solids Struct. 41 (2004) 6993-7007
17. Wertheim M.S. Exact solution of the Percus-Yevick integral equation for hard spheres. Phys. Rev. Lett. 10 8 (1963) 321-323
18. Xu Y.L. Calculation of the addition coefficients in electromagnetic multisphere-scattering theory. J. Comput. Phys. 127 (1996) 285-298
19. Xu Y.L. Efficient evaluation of vector translation coefficients in multiparticle light-scattering theories. J. Comput. Phys. 139 (1998) 137-165
20. Yang R.B., and Mal A.K. Multiple scattering of elastic waves in a fiber-reinforced composite. J. Mech. Phys. Solids 42 (1994) 1945-1968