Radiation of a Plane Shear Wave from an Elastic Waveguide to a Composite Elastic Space
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2007, Vol 60, Issue 3
Abstract
The radiation of a plane shear wave from an elastic strip (waveguide) to an elastic space is investigated in this paper. The strip is embedded into a space and is partially bonded with it. A given plane shear wave propagates from the free part of the strip and radiates into the composite space. The problem’s solution is led to a system of two uncoupled functional Wiener-Hopf type equations which are solved via the method of factorization. Closed form expressions are obtained which determine the wavefield in all the parts of the strip and space. Asymptotic expressions are provided which represent the wavefield in the far field and in the neighborhood of the contact zones. From these formulas it follows that: a) in the cases of several values of the ratio of the wave numbers of the strip and space the order of vanishing of the volume wave in the strip becomes less and equal to the one in the case of a homogeneous material, b) the radiated volume wave in the strip has a velocity of propagation equal to the volume wave’s velocity in the space.
Authors and Affiliations
E. Kh. Grigoryan, K. L. Agayan
Keywords
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