Mathematical Modeling and Methods for the Determination of the Static Thermoelastic State of Multilayer Thermally Sensitive Cylinders

Author:

Popovych V. S.,Kalynyak B. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference17 articles.

1. V. M. Vigak, Control over Thermal Stresses and Displacements [in Russian], Naukova Dumka, Kiev (1988).

2. V. M. Vigak, “Solutions of one-dimensional problems of elasticity and thermoelasticity for cylindrical piecewise-homogeneous bodies,” Mat. Met. Fiz.-Mekh. Polya, 40, No. 4, 139–148 (1997); English translation: J. Math. Sci., 96, No. 2, 3057–3064 (1999).

3. B. M. Kalynyak, “Analytic expressions for stresses and thermal stresses in a long hollow inhomogeneous thermally sensitive cylinder,” Mat. Met. Fiz.-Mekh. Polya, 50, No. 2, 79–86 (2007).

4. H. S. Carslaw and J. C Jaeger, Conduction of Heat in Solids, Clarendon Press, Oxford (1959).

5. R. M. Kushnir and V. S. Popovych, “Determination of the steady-state thermoelastic state of multilayer structures in hightemperature heating,” Visn. Kyiv. Nats. Univ. Im. T. Shevchenka. Ser. Fiz.-Mat. Nauky, No. 3, 42–47 (2013).

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