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Fundamental Solution of the Equations for Thermoelastic Bending of Orthogonal Cylindrical Shells

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Abstract

A two-dimensional Fourier transform method is used to construct a fundamental solution for thermoelastic bending of mildly sloping orthotropic cylindrical shells. A linear distribution of heat over the shell thickness and newtonian convective heat exchange with the external medium are assumed. The results of some numerical calculations are presented.

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REFERENCES

  1. Ya. S. Podstrigach andYu. M. Kolyano, Nonstationary Temperature Fields and Stresses in Thin Plates [in Russian], Nauk. Dumka, Kiev (1972).

    Google Scholar 

  2. A. S. Gol'tsev, “Fundamental solutions for the equations of thermoelasticity for thin orthotropic plates with heat exchange, ” in: Proc. International Scientific Conf. on Modern Problems in Stress Concentration [in Russian], Donetsk State University, “Kassiopeya, ” Donetsk (1998), pp. 56–60.

    Google Scholar 

  3. A. N. Guz',A. S. Kosmodamianskii, andV. P. Shevchenko (eds.), Stress Concentration [in Russian], A. S. K., Kiev (1998), 387 pp. (Mechanics of Composites [in Russian], Vol. 7 of 12 vols.)

    Google Scholar 

  4. Ya. S. Podstrigach andYu. M. Kolyano, Generalized Thermomechanics [in Russian], Nauk. Dumka, Kiev (1976).

    Google Scholar 

  5. R. N. Shvets andE. I. Lun', “Some problems in the theory of thermoelasticity for orthotropic shells including the inertia of rotation and transverse shear, ” Prikl. Mekh., 7(10), 121–125 (1971).

    Google Scholar 

  6. S. A. Ambartsumyan, Generalized Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  7. V. K. Khizhnyak andV. P. Shevchenko, Mixed Problems in the Theory of Plates and Shells. A Textbook [in Russian], Donetsk State Univ., Donetsk (1980).

    Google Scholar 

  8. A. S. Kosmodamianskii andS. A. Kaloerov, Temperature Stresses in Multiply Coupled Plates [in Russian], Vishcha Shkola, Kiev, Donetsk (1983).

    Google Scholar 

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Gol'tsev, A.S. Fundamental Solution of the Equations for Thermoelastic Bending of Orthogonal Cylindrical Shells. Journal of Mathematical Sciences 107, 4375–4379 (2001). https://doi.org/10.1023/A:1012548315738

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