2D Low-frequency Penetration of Elastic Waves Through a Double Periodic Array of Cracks

Michael Remizov

Abstract


The paper is devoted to derivation of analytic expressions for coefficients of reflection and transmission when a plane wave interacts with a system of three identical twodimensional gratings, each of which consists of a periodic array of rectangular cracks of the elastic isotropic medium in 2-D. In a one-mode range approximation the problem is reduced to the system of hypersingular integral equations, solution of which gives the coefficients of reflection and propagation, and an explicit representation of the wave field inside the structure.

 


Keywords:
Reflection and transmission coefficients, one-mode range approximation, two-dimensional grating, hipersingular integral equation.

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References


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DOI: 10.7250/bfpcs.2016.008

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