Contact Problems for an Elastic Layer and the Infinite Plate with Two Finite Elastic Overlays in the Presence of Shear Interlayers
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2014, Vol 67, Issue 1
Abstract
The problems of contact interaction is observed for an elastic layer and the infinite plate which at y 0 in the plane xOy (for the plate xOy - its average plane) are strengthened by two finite overlays (stringers) with different elastic characteristics and constant thickness. The contact interaction between deformable foundations and overlays is realized through a thin layer of glue with other phisico-mechanical properties and geometric configuration. The overlays are deformed under the action of horizontal forces. The determinational problem of unknown contact stresses are reduced to the system of singular integro- differential equations with Cauchy's kernel of second kind with two unknown functions within the different intervals with certain boundary conditions. Its solutions are constructed using apparatus Chebishev's orthogonal polynomials and unknown coefficients are received from the quasiperfectly regular infinite systems of the linear algebraic equations. Possible particular cases are observed and the behaviors of contact stresses are illustrated in different constant parts.
Authors and Affiliations
Aghasi Kerobyan
Keywords
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