We propose a numerical-analytic method for the determination of one-dimensional static thermoelastic states of plane multilayer structures with arbitrary types of temperature dependences of the physical and mechanical characteristics of the materials of their components. The proposed method is based on the use of the theory of generalized functions, approximation of temperature dependences of the physical and mechanical characteristics of materials by piecewise-constant functions, and introduction of an analog of the Kirchhoff function. The method is verified by analyzing the static thermoelastic states of twoand three-layer plates.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 62, No. 4, pp. 131–140, October–December, 2019.
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Kushnir, R.М., Makhorkin, І.М. & Makhorkin, М.І. Numerical-Analytic Determination of the Static Thermoelastic State of Plane Multilayer Thermosensitive Structures. J Math Sci 265, 498–511 (2022). https://doi.org/10.1007/s10958-022-06067-5
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DOI: https://doi.org/10.1007/s10958-022-06067-5