The finite-element method is used for modeling the heat transfer in an I-beam at different ratios of heat conductivities of its orthotropic material. Various schemes are proposed for numerical calculations, which allowed us to describe the process of heat transfer with different accuracy. The calculation error was estimated, by using simplified schemes, as a function of the ratio of heat conductivities. It is shown that simplified schemes can successfully be employed for modeling the transient heat transfer process with an accuracy sufficient for engineering applications.
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References
V. Petrova and S. Schmauder, “Crack–interface crack interactions in functionally graded/homogeneous composite bimaterials subjected to a heat flux,” Mech. Compos. Mater., 47, No. 1, 125–136 (2011).
H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford, 1986, 520 p.
A. V. Lykov, Theory of Thermal Conductivity [in Russian], Vysshaya Shkola, Moscow (1967).
V. F. Formalev and O. A. Tyukin, “Investigation of temperature fields on the basis of an analytical solution of a twodimensional problem of anisotropic heat conductivity,” Teplofiz. Vysok. Temp., 32, No. 4, 518–524 (1994).
C. C. Ma and S. S. Chang, “Analytical exact solutions of heat conduction problems for anisotropic multilayered media,” Int. J. Heat Mass Transf., 47, 1643–1655 (2004).
Yu. V. Nemirovskii and A. P. Yankovskii, “Solution of a stationary problem of heat conductivity of layered anisotropic nonuniform plates by the method of initial functions,” Matem. Met. Fiz.-Mekh. Polya, 51, No. 2, 222–238 (2008).
A. Karageorghis and D. Lesnic, “Steady-state nonlinear heat conduction in composite materials,” Comput. Meth. Appl. Mech. Eng., 197, 3122–3137 (2008).
K. A. Basov, ANSYS: Handbook [in Russian], Izdat. DMK Press, Moscow (2005).
E. Madenci and I. Guven, The Finite Element Method and Applications in Engineering Using ANSYS, Springer Sci., New-York (2006).
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The study was financially supported by Project No. 2010/0296/2DP/2.1.1.1.0/10/APIA/VIAA/049.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 49, No. 3, pp. 389-402, May-June, 2013.
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Akishin, P., Aniskevich, A., Aniskevich, K. et al. Numerical modeling of heat transfer in an orthotropic I-beam. Mech Compos Mater 49, 267–276 (2013). https://doi.org/10.1007/s11029-013-9343-5
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DOI: https://doi.org/10.1007/s11029-013-9343-5