On some ways to achieve the absence of thermal stresses in an inhomogeneous through thickness infinite layer under stationary thermal loading


  • B. M. Kalynyak Pidstryhach Institute for Applied Problems of Mechanics and Mathemtics of the National Academy of Sciences of Ukraine, 79060, L’viv, Naukova str., 3B https://orcid.org/0000-0003-1214-2092




A method for determining the characteristics of functional gradient materials (FGM) for providing zero thermal stresses in an infinite layer with given constant thermal loads is proposed. We assume that the classical convective conditions of heat transfer are given on the surfaces of the layer, the temperature field is stationary, the characteristics of the FGM are described by the model of a simple mixture, the characteristics of the thermo-stressed state and the material depend only on the transverse variable. Precise analytical expressions were obtained for the distribution of the concentration of one of the materials on the thickness of the layer in the absence of mass forces and heat sources, which provides zero longitudinal stresses.

Key words: functional-gradient materials, thermomechanical characteristics, layer, model of a simple mixture, absence of stresses, stationary temperature field, composites.

Pages of the article in the issue: 66-69

Language of the article: Ukrainian


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How to Cite

Kalynyak, B. M. (2019). On some ways to achieve the absence of thermal stresses in an inhomogeneous through thickness infinite layer under stationary thermal loading. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (1), 66–69. https://doi.org/10.17721/1812-5409.2019/1.14



Differential equations, mathematical physics and mechanics