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2020 | OriginalPaper | Chapter

On an Approach to the Thermoelastic Analysis of Nonhomogeneous Solids

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Abstract

A general approach to the analysis of thermoelastic response of solids exhibiting spatial or thermal variation in their material properties is addressed in this study. The approach is based on the idea of the direct integration method, which allows for the construction of analytical solutions to the relevant thermoelasticity problems in explicit functional form satisfying the thermal and force boundary conditions on the entire surface of a solid.

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Literature
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go back to reference Tokovyy, Y.V.: Direct integration method. In: Hetnarski, R.B. (ed.) Encyclopedia of Thermal Stresses, vol. 2, pp. 951–960. Springer, Dordrecht (2014)CrossRef Tokovyy, Y.V.: Direct integration method. In: Hetnarski, R.B. (ed.) Encyclopedia of Thermal Stresses, vol. 2, pp. 951–960. Springer, Dordrecht (2014)CrossRef
2.
go back to reference Tokovyy, Y.V., Kalynyak, B.M., Ma, C.C.: Nonhomogeneous solids: integral equations approach. In: Hetnarski, R.B. (ed.) Encyclopedia of Thermal Stresses, vol. 7, pp. 3350–3356. Springer, Dordrecht (2014)CrossRef Tokovyy, Y.V., Kalynyak, B.M., Ma, C.C.: Nonhomogeneous solids: integral equations approach. In: Hetnarski, R.B. (ed.) Encyclopedia of Thermal Stresses, vol. 7, pp. 3350–3356. Springer, Dordrecht (2014)CrossRef
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go back to reference Kushnir, R.M., Yasinskyy, A.V.: Identification of the temperature field and stresses in a thermosensitive cylinder according to the surface strains. Mater. Sci. 43(6), 814–822 (2007)CrossRef Kushnir, R.M., Yasinskyy, A.V.: Identification of the temperature field and stresses in a thermosensitive cylinder according to the surface strains. Mater. Sci. 43(6), 814–822 (2007)CrossRef
4.
go back to reference Tokovyy, Y.V., Chyzh, A.I., Ma, C.C.: An analytical solution to the axisymmetric thermoelasticity problem for a cylinder with arbitrarily varying thermomechanical properties. Acta Mech. 230(4), 1469–1485 (2019)MathSciNetCrossRef Tokovyy, Y.V., Chyzh, A.I., Ma, C.C.: An analytical solution to the axisymmetric thermoelasticity problem for a cylinder with arbitrarily varying thermomechanical properties. Acta Mech. 230(4), 1469–1485 (2019)MathSciNetCrossRef
5.
go back to reference Tokovyy, Y.V., Ma, C.C.: Axisymmetric stresses in an elastic radially inhomogeneous cylinder under length-varying loadings. J. Appl. Mech. 83, 111007-1–7 (2016) Tokovyy, Y.V., Ma, C.C.: Axisymmetric stresses in an elastic radially inhomogeneous cylinder under length-varying loadings. J. Appl. Mech. 83, 111007-1–7 (2016)
Metadata
Title
On an Approach to the Thermoelastic Analysis of Nonhomogeneous Solids
Authors
Roman Kushnir
Yuriy Tokovyy
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47883-4_39

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