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Nicoleta Popescu-Pogrion-INCDFM Bucuresti Ionel Mercioniu-INCDFM Bucuresti

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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Nicoleta Popescu-Pogrion-INCDFM Bucuresti Ionel Mercioniu-INCDFM Bucuresti

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  1. 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

  2. Transfer matrix method

  3. The equivalent medium

  4. Equivalent matrices • The matrix T(ω) has the eigenvalues: • The matrix T’(ω) has the eigenvalues:

  5. Effective velocity

  6. Numeric estimation

  7. The zero’ estimation of g(x)

  8. 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.

  9. 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

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