Geodesic
Antiplane problem for elastic piecewise homogeneous half-space with semi-infinite piecewise homogenous cover-plate
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1990), pp. 33-40

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In this paper we have considered an antiplane problem for elastic piecewise homogeneous half-space, consisting of two qwarters of space with different elastic properties, strengthened in its boundary by semi-infinite piecewise homogeneous rather thin cover-plate passing the boundary of heterogeneity. It has been thought that elastic half-space deforms under the action of concentrative forces applied correspondingly to the part boundary of the half-space. For determination of the unknown tangential stresses, acting in the section of fixing the half-space and cover-plate with the help of Mellin’s transform and factorization method the problem is brought to Fredholm integral equation of second kind, which is solved by means of successive approximation method. 
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     author = {A. R. Khachatryan},
     title = {Antiplane problem for elastic piecewise homogeneous half-space with semi-infinite piecewise homogenous cover-plate},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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A. R. Khachatryan. Antiplane problem for elastic piecewise homogeneous half-space with semi-infinite piecewise homogenous cover-plate. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1990), pp. 33-40. http://geodesic.mathdoc.fr/item/UZERU_1990_1_a4/