Reflection and Transmission Analysis of Elastic Waves by Linear Inhomogeneous Layer Elements

Two dimensional elastodynamic analysis is presented for the intensity evaluation of elastic wave backscattering from a gradient inhomogeneous layer. A linear inhomogeneous layer element (LILE) is a new fundamental element of the analysis. Stacking of LILEs can create an excellent analytical model of a gradient inhomogeneous layer. The method of developing the model has been interpreted. Application of the model has been demonstrated for the reflection and transmission problem of obliquely incident SH waves impinging on a gradient inhomogeneous layer. Their calculated intensity of reflection can be verified using the conservation law of energy. As a result, excellent adaptability of the model to an acoustic impedance variation shows that it is a viable analytical tool for such a difficult dynamic problem involving an inhomogeneous material.