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The estimation of the phase velocity of the elastic waves based on the transfer matrix method for binary systems. Nicoleta Popescu-Pogrion-INCDFM Bucuresti Ionel Mercioniu-INCDFM Bucuresti Nicolae Cretu –Univ. Transilvania Brasov. Transfer matrix method. The equivalent medium.

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The estimation of the phase velocity of the elastic waves based on the transfer matrix method for binary systems

Nicoleta Popescu-Pogrion-INCDFM Bucuresti

Ionel Mercioniu-INCDFM Bucuresti

Nicolae Cretu –Univ. Transilvania Brasov

equivalent matrices
Equivalent matrices
  • The matrix T(ω) has the eigenvalues:
  • The matrix T’(ω) has the eigenvalues:
error estimation
Error estimation

The behaviour of c2 around fexp. The vertical bars show the range of values of c2 around c2exp obtained for deviations of f around fexp. The maximum relative deviations of f are shown above the vertical bars.

references
References

[1] N.Cretu, G.Nita, Pulse propagation in finite elastic inhomogeneous media, Computational Materials Science  31(2004) 329-336 

[2] Z. Wesolowski, Wave speed in periodic elastic layers, Arch. Mech. 43 (1991) 271-282.

[3] Y. A. Godin, Waves in random and complex media, Vol. 16, No. 4, November 2006, pp 409–416

[4] S.A.Molchanov, Ideas in the theory of random media, Acta Applicandae Mathematicae, 22 (1991) 139–282.

[5] N. Cretu, Acoustic measurements and computational results on material specimens with harmonic variation of the cross section, Ultrasonics, 43 (2005) 547-550.

[6] P.P. Delsanto, R. S. Schechter, H. H. Chaskelis, R. B. Mignogna, and R. Kline, CM Simulation of the Ultrasonic Wave Propagation in Materials, Wave Motion 16 (1992) 65-80

[7] P. P. Delsanto, R. S. Schechter, H. H. Chaskelis, R. B. Mignogna, and R. Kline, CM Simulation of the Ultrasonic Wave in Materials 2, Wave Motion 20 (1994) 295-307

[8] S. Guo, Y. Kagowa, T. Nishimura, H. Tanaka, Elastic properties of spark plasma sintered ZrB2-ZrC-SiC composites, Ceramics International, 34 (2008) 1811-1817