Circular thermoactive interphase inclusion in a piecewise homogeneous transversal-isotropic space
An exact solution of the stationary thermoelasticity problem about interfacial circular absolutely rigid inclusion, which is under conditions of complete adhesion and under conditions of smooth contact with transversely homogeneous spaces, is constructed. The task with the help of the constructed discontinuous solution, by the method of singular integral relations, is reduced to a system of singular integral equations (SIE). An exact solution has been built for the specified systems of two-dimensional singular integral equations. As a result, dependences jumps of stresses and displacement on temperature, equivalent load, main moments and thermomechanical characteristics of transversally isotropic materials. The influence of the type of contact interaction on the behavior of the solutions is established. In particular, it has been shown that the stresses in the neighborhood of the inclusion with a smooth contact have a root singularity, and with complete coupling, the root singularity, which is amplified by oscillation. The behavior of the generalized intensity coefficient (GCIN) was studied for the combination of various transversely isotropic materials at different power and temperature loads.
Key words: thermal conductivity, inhomogeneous orthotropic space, interphase defect, two-dimensional singular integral equations.
Pages of the article in the issue: 90-93
Language of the article: Ukrainian
EFIMOV, V.V., KRIVOI, A.F., POPOV, G. (2010) Problems on the stress concentration near a circular imperfection in a composite elastic medium. Mechanics of solids. 33 (2). p.35-49, Springer ISSN: 0025-6544
KRYVYI, O.F. (2010) Mizhfazns krugovs vklyuchennya v kuskovo-odnoridnomu transversalno-izotropnomu prostori. Prikl. probleii meh. i mat. 8. p. 173–183.
KRYVYY, O.F. (2011) Singular integral relations and equations for a piecewise homogeneous transversally isotropic space with interphase defects. Journal of Mathematical Sciences. 176 (4). p. 515- 531.
KRYVYY, O.F (2012) Interface circular inclusion under mixed conditions of interaction with a piecewise homogeneous transversally isotropic space. Journal of Mathematical Sciences. 184(1). p. 101-119.
KRYVYI, O.F (2014) Delaminated Interface Inclusion in a Piecewise Homogeneous Transversely Isotropic Space. Materials Science. 50 (2). p. 245-253.
KRYVYY, O. (2009) The Discontinuous Solution for the Piece-homogeneous Transversal Isotropic Medium. Operator Theory: Advances and Applications. 191. p. 387 – 398.
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