Download e-book for kindle: Anisotropic elasticity by Ting T.C.T.

By Ting T.C.T.

ISBN-10: 0195074475

ISBN-13: 9780195074475

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1. , 114 (1987) 233-8. [6] Pyett, 1. , The acoustic impedance of a porous layer at oblique incidence. Acustica, 3 (1953) 375-82. 1 INTRODUCTION The geometry of the pores in ordinary porous materials is not simple, and a direct calculation of the viscous and thermal interaction between the air and these materials is generally impossible to perform. Useful information can be obtained from the simple case of porous materials with cylindrical pores. In this chapter, a simple modelling of sound propagation in cylindrical tubes of various cross-sectional shapes is worked out, and this modelling is used to predict the acoustical properties of porous materials with cylindrical pores and to define important concepts like tortuosity.

43), are represented in Fig. 9. It may be noted that as in the case for normal incidence, pressures, velocities and impedances are individually equal at either side of the boundary between air and the fluid equivalent to the porous material; however, due to the variation of the characteristic impedance, the reflection and absorption coefficients are different. , 1000 ReZ ~ E to Q. ~ N 0 1m Z -1000 ~--"----'---~--'-----' o 2 4 FREQUENC Y (kHz) FIG. 7. Impedance Z at oblique incidence (0 = n/4) for a layer of thickness d = lOcm, and flow resistivity a= lOOOONm- 4 s.

Since fibrous materials are not isotropic, the formalism which has been worked out in the present chapter cannot be used for these materials. The sound propagation in porous foams with a flow resistivity of about 10 000 Nm -4 s or less can be described approximately by the laws of Delany and Bazley. As these materials are isotropic, the formalism previously worked out can be used. The surface impedance of an isotropic porous material of porosity close to 1, of flow resistivity a equal to 10 000 Nm- 4 s, and of thickness d equal to 10 cm, has been calculated for the two configurations indicated in Fig.

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Anisotropic elasticity by Ting T.C.T.

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