має кругову нескінченну циліндричну порожнину, паралельну його поверхні. Шар і півпростіроднорідні ізотропні матеріали, відмінні один від одного. На порожнині і на верхній межі шару задані переміщення. Для розв'язку просторової задачі теорії пружності використаний узагальнений метод Фур'є щодо системи рівнянь Ламе. В результаті задоволення граничним умовам і умовам сполучення шару і півпростору, отримані нескінченні системи лінійних алгебраїчних рівнянь, які розв'язані методом редукції. В результаті були знайдені переміщення і напруження в різних точках пружного тіла. Проведено числовий аналіз напруженодеформованого стану шару і півпростору. Ключові слова: циліндрична порожнина в півпросторі, композит, рівняння Ламе, умови сполучення, узагальнений метод Фур'є Miroshnikov V.Yu. DETERMINATION OF THE STRESS STATE OF THE COMPOSITE IN THE FORM OF A LAYER AND A HALF-SPACE WITH A CYLINDRICAL CAVITY, WITH DISPLACEMENTS SPECIFIED ON THE BOUNDARY SURFACES. The spatial problem of the theory of elasticity for a half-space rigidly coupled to an elastic layer is solved. The half-space has an infinite circular cylindrical cavity parallel to its surface. Layer and half-space-homogeneous isotropic materials, different from each other. Displacements are specified on the cavity and on the upper boundary of the layer. To solve the spatial problem of the theory of elasticity, the generalized Fourier method with respect to the system of Lame equations is used. As a result of satisfying the boundary conditions and the conjugation conditions of the layer and half-space, infinite systems of linear algebraic equations are obtained, which are solved by the reduction method. As a result, displacements and stresses were found at various points of the elastic body. A numerical analysis of the stress-strain state of the layer and half-space is carried out.

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The results of experiments to determine the strength and deformability of adhesive anchoring, depending on the depth of embedding basalt fiber polymer rods in the concrete array, are given. The technique of basalt fiber polymer reinforcement preparation for conducting experiments to determine basic longitudinal deformations is fully described. Numerical characteristics of basalt fiber polymer reinforcement for tensile and compression test, to determine bearing capacity in concrete, were obtained. Test methods of adhesive basalt fiber polymer joints are described in detail, as well as research to determine the influence of technological factors on the strength of adhesive bonding, using acrylic modified compositions. Experimental research on the effect of concrete class, adhesive layer thickness and adhesive joint distance from the face of a concrete specimen, on a joint strength, has been performed. The obtained results of experimental research data can be used for attachment joints projecting and industrial technological lines development, as well as for further polymeric adhesive materials, widely applied in industrial and civil engineering, improvement.

The article is dedicated to the analysis of the results of experimental testing of brick structures resistance. The experimental testing aimed at revealing a qualitative pattern of deformation and the character of losing the bearing capacity of a system “brick beam-wall – deformed base” and obtaining quantitative data about the strained and deformed state of the system undergoing short-term force and deformation at all stages of loading. Revealing the structure and phases of deformation and destruction of brickwork subjected to the increasing loading and the construction of dependences “loading – deformation” corresponding to the process of brickwork deformation and destruction was also an important task. It has been proved that the mechanism of the destruction of brick structures walls fragments, supported by uneven deformed base, occurs according to the scheme of shear, cut and breaking to pieces, as well as destruction of brick material and mortar with clear determination of deformation stages and brickwork destruction. The results of analysis of the experiments allowed to determine the influence of the amount of loading acting on cracks formation and brickwork functioning as a whole.