Heat-Active Circular Interphase Inclusion in the Conditions of Smooth Contact with Half-Spaces
The method of Singular Integral Relations (SIR) for solving problems of stationary thermoelasticity for a piecewise homogeneous transversely isotropic space is generalized. Using the SIR method, the stationary thermoelasticity problem for interphase circular inclusion that is in smooth contact with piecewise homogeneous transversely isotropic space is reduced directly to a system of two-dimensional singular integral equations (SIE) with nuclei, which are expressed through elementary functions. An exact solution has been built for the said SIS; as a result, dependences of the translational displacement of the inclusion on temperature, the resulting load, the main momentum and the thermomechanical characteristics of transversely isotropic materials have been obtained. The order of the features of stresses and displacements jump is determined. Expressions for the stress intensity factor at the boundary of the inclusion are obtained, as well as numerical dependences of these coefficients on the polar angle, temperature and loads.
KeywordsThermoelasticity problem Interphase circular inclusion Singular integral equations Piecewise-homogeneous transversely isotropic space
- 1.Efimov, V.V., Krivoi, A.F., Popov, G.Y.: Problems on the stress concentration near a circular imperfection in a composite elastic medium. Mech. Solids 33(2), 35–49 (1998). Springer ISSN: 0025-6544Google Scholar
- 7.Kryvyi, O., Morozov, Y.: Interphase circular inclusion in a piecewise-homogeneous transversely isotropic space under the action of a heat flux. In: Gdoutos, E. (eds.) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2018. Structural Integrity, vol. 5. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-91989-8_94Google Scholar
- 8.Kriviy, O.F., Morozov, Y.A.: Rozv’yazok zadachI teploprovIdnostI dlya transversalno-Izotropnogo kuskovo-odnorIdnogo prostoru z dvoma krugovimi vklyuchennyami. MatematichnI metodi ta fIziko-mehanIchnI polya. T. 60, № 2, S. 130–141. Rezhim dostupu (2017) http://nbuv.gov.ua/UJRN/MMPhMP_2017_60_2_15