Geodesic
About contact problems for an elastic half-plane and the infinite plate with two finite elastic overlays in the presence of shear interlayers
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2015), pp. 30-39.

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The problems of contact interaction are observed for an elastic half-plane and the infinite plate, which are strengthened, along the line (in the plane) by two finite overlays (stringers) with different elastic characteristics and constant small thickness. The contact interaction between deformable foundations and overlays is realized through a shear layers (in form of glue layers) having different physical– mechanical properties and geometric configuration. The determination problem of unknown contact stresses are reduced to the systems of Fredholm’s integral equations of the second kind within the different finite intervals, which in the certain region of the change of characteristic parameter typical to the problems, may be solved by the method of successive approximations. Possible particular cases are observed and the character and behavior of contact stresses are illustrated.
Keywords: Contact, elastic half-plane, infinite plate (sheet), overlay (stringer), shear, system of integral equation, operator equation. 
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A. V. Kerobyan. About contact problems for an elastic half-plane and the infinite plate with two finite elastic overlays in the presence of shear interlayers. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2015), pp. 30-39. http://geodesic.mathdoc.fr/item/UZERU_2015_2_a5/

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[3] E.Kh Grigoryan, A.V. Kerobyan, S.S. Shahinyan, “The Contact Problem for the Infinite Plate with Two Finite Stringers One from Which is Glued, Other is Ideal Conducted”, Proceed. of NAS RA, Mechanics, 2002, no. 2, 14–23 (in Russian)

[4] J.L. Lubkin, L.C. Lewis, “Adhesive Shear Flow for an Axially Loaded, Finite Stringer Bounded to an Infinite Sheet”, Quart. J. of Mech. and Applied Math., 23 (1970), 521 | DOI | Zbl

[5] G.E. Shilov, Mathematical Analysis: Special Course, M., 1961, 422 pp. (in Russian)

[6] A.V. Kerobyan, “Contact Problem for Elastic Half-Plane or Infinite Plate with Piesewise Homogeneous Stringer in the Presence of Shear”, The Problems of Dynamics of Interaction of Deformable Media, Proceedings of VII International Conference, Inst. Mechanics NAS RA, Yer., 2011, 207–214 (in Russian)