Issue 52

O. Kryvyi et alii, Frattura ed Integrità Strutturale, 52 (2020) 33-50; DOI: 10.3221/IGF-ESIS.52.04 33 Thermally active interphase inclusion in a smooth contact conditions with transversely isotropic half-spaces Oleksandr Kryvyi National University «Odesa Maritime Academy», 65029, Odessa, Didrikhson str., 8, Ukraine krivoy-odessa@ukr.net , kryvyi-od@math.onma.edu.ua , http://orcid.org/0000-0001-2345-6789 Yurii Morozov Odesa National Polytechnic University, 65044, Odesa, Boulevard of Shevchenko, 1, Ukraine morozov@opu.ua , morozovyu@gmail.com, https://orcid.org/0000-0003-4027-2353 A BSTRACT . An exact solution of the stationary thermoelasticity problem is constructed for the interfacial circular absolutely rigid inclusion, while it is in the smooth contact conditions in a piecewise homogeneous transversely homogeneous space. With the help of the constructed discontinuous solution, by the method of singular integral relations, the task is reduced to a system of singular integral equations (SIE).An exact solution has been built for the specified SIE, and as a result, dependences of translational displacement of the inclusion on temperature, the resultant load, main moment and thermomechanical characteristics of transversely isotropic materials have been obtained. K EYWORDS . Thermoelasticity problem; Interphase circular inclusion; Singular integral equations; Piecewise-homogeneous transversely isotropic space. Citation: Kryvyi, O., Morozov Yu., Thermally active interphase inclusion in a smooth contact conditions with transversely isotropic half-spaces, Frattura ed Integrità Strutturale, 52 (2020) 32-50. Received: 16.07.2019 Accepted: 24.01.2020 Published: 01.04.2020 Copyright: © 2020 This is an open access article under the terms of the CC-BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. I NTRODUCTION he modern construction is widely using composite anisotropic materials and heterogeneous structures that contain constructive or technological interphase heat-active inclusions (defects, fibers, reinforcement elements) and are under conditions of power and temperature loading with various types of contact interaction with the medium. These inclusions are significant stress concentrators and can lead to structural failure as well as to a the destruction of structures. At the same time stress concentration is significantly affected as a form of contact interaction of the inclusion with the medium so are the ratio of thermoelastic constants of the matrix. Such problems arise [1, 2], particularly, in geophysics, during the operation of nuclear power plants, in welded bridge structures and when using modern reinforced materials. One of the methods of repairing damaged structures of long-term operation is injection technologies [3], according to which the damaged areas of concrete and reinforced concrete structures and structures are filled with special materials, turning over time into rigid heat-emitting inclusions that may have different contact with the matrix.