A Contact Problem for a Piecewise Homogeneous Infinite Plate Strengthened with Two Parallel Different Infinite Elastic Stringers
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2009, Vol 62, Issue 3
Abstract
In the present paper, a contact problem is considered for a piecewise homogeneous infinite elastic plate consisted of two semi-infinite plates with different elastic characteristics and strengthened with two infinite elastic stringers, having different elastic properties. The stringers are parallel to the straight line between the two semi- infinite plates (the contact pair) and have different distances from the straight line, as well as they are on different sides of the straight line. The contact pair is deformed by two forces applied to the stringers having the same direction. The problem is formulated as a system of singular integral equations with a cornel consisted of singular and regular parts. The solution of the above-mentioned system is based on the generalized Fourie integral transformation, which is reduced to a system of functional equations, which makes possible to construct a closed solution in an integral form. The behavior of contact tangent tensions, as well as of stringer normal tensions at the infinite point and at the points of the forces applications are investigated, by means of the asymptotic formulae obtained in the present work.
Authors and Affiliations
E. Kh. Grigoryan, H. V. Hovhannisyan
Keywords
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