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Information × Registration Number 0220U104124, 0120U104877 , R & D reports Title Thermomechanics of anisotropic and smart materials with thread-like and shell-like inclusions popup.stage_title Head Pasternak Yaroslav M., д.ф.-м.н. Registration Date 10-12-2020 Organization Lutsk National Technical University popup.description2  The method for modeling and analytical-numerical analysis of spatial problems of thermoelasticity of isotropic solids with thread-like nondeformable and deformable inhomogeneities is formulated. In this case, the inhomogeneity is removed from consideration as a geometric object, and its impact on the medium is replaced by distributed functions of heat flux density and tractions set on its midline, which are to be determined. The corresponding integral equations are written and it is pointed out that the boundary conditions formulated in this way give rise to a weakly formulated problem. A method for regularization of these integral equations is proposed, which allows obtaining an approximate solution of the problems of thermoelasticity for solids with thread-like inhomogeneities. An analytical-numerical approach for solving the obtained equations based on the use of Legendre polynomials is developed. Based on the numerical analysis of the examples, the reliability, speed and accuracy of the proposed method of analysis of thermoelastic equilibrium of solids with nondeformable thread-like inhomogeneities are substantiated. Models of thermal conductivity and thermoelasticity of deformable thread-like inhomogeneities are developed. The written models together with the formulated boundary integral equations allow obtaining an analytical-numerical approach for determination of the thermal stresses in solids with thread-like deformable inclusions. A comparative analysis of the functions of influence of nondeformable and deformable thread-like inhomogeneities is performed. Product Description popup.authors Andriychuk Oleksandr V. Yasiuk Ivan M. popup.nrat_date 2020-12-10 Close