1987
DOI: 10.1121/1.395170
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Inhomogeneous wave generation and propagation in lossy anisotropic solids. Application to the characterization of viscoelastic composite materials

Abstract: This article develops a method for investigating some anisotropic media, such as composites, by the use of ultrasonic waves transmitted through a plate-shaped sample immersed in water. The discussion begins with Christoffel's equations for plane linear anelastic waves under the assumptions that for small angles of incidence the wave modes are plane and inhomogeneous and that the anisotropy is representable by hexagonal symmetry. The water-sample interface is treated using the law of Snell-Descartes for nonabso… Show more

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Cited by 163 publications
(75 citation statements)
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“…Importance of inhomogeneous waves in single-phase viscoelastic media are found in Borcherdt (1977Borcherdt ( , 1982 and Cerveny and Psencik (2005a, b). Experimental results (Borcherdt et al, 1986;Hosten et al, 1987) confirm the generation and existence of inhomogeneous body waves and the differences in their physical characteristics from elastic body waves. Carcione (2006) studied the Rayleigh-window effect to explain the role of inhomogeneous waves in amplitude reduction of the reflection coefficient of the ocean bottom.…”
Section: Introductionmentioning
confidence: 58%
“…Importance of inhomogeneous waves in single-phase viscoelastic media are found in Borcherdt (1977Borcherdt ( , 1982 and Cerveny and Psencik (2005a, b). Experimental results (Borcherdt et al, 1986;Hosten et al, 1987) confirm the generation and existence of inhomogeneous body waves and the differences in their physical characteristics from elastic body waves. Carcione (2006) studied the Rayleigh-window effect to explain the role of inhomogeneous waves in amplitude reduction of the reflection coefficient of the ocean bottom.…”
Section: Introductionmentioning
confidence: 58%
“…Though, in designing composite components it is of crucial importance to have knowledge on the stiffness tensor in order to assure the component's functionality and to maintain its structural integrity. In the past, several non-destructive characterization techniques have been proposed and developed to obtain information about the elastic material properties on the basis of ultrasound [1][2][3][4][5][6], in which most characterization techniques simply employ bulk wave concepts. Typically, these techniques rely on the Time-of-Flight (TOF) of an ultrasound pulse, from which the wave velocity can be determined, which is on its turn related to the mechanical stiffness of the investigated medium [1][2][3][4][5][6][7][8].…”
Section: Introductionmentioning
confidence: 99%
“…The use of TOF measurements has been succesfully applied for the determination of elastic properties assuming rather thick samples (ranging from 3 to 6 mm at frequencies of 2-5 MHz) in combination with a bulk wave approximation [3] [4]. In many cases, however, the actual thickness of plates is smaller and, as such, deviations from the bulk wave approximation are to be expected, as shown in figure 1 where a clear deviation from the bulk wave TOF solution is seen around the longitudinal and shear critical angles for an aluminum plate of 1.5 mm, examined at a frequency of 5 MHz.…”
Section: Introductionmentioning
confidence: 99%