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Nonsymmetrical temperature fields and stresses in cylinders made of nonuniform composites

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Abstract

The class of problems for determining nonsymmetrical temperature fields and stress in thick-walled hollow nonuniform cylinders is considered. A resolution set of differential equations is constructed for determining steady-state temperature fields, stresses, and displacements in asymmetrically heated cylinders which are arbitrarily nonuniform with respect to thickness with one plane of elastic symmetry. An approach is suggested for effective numerical solution of this class of problems. Problems are analyzed for thick-walled cylinders whose relative volume content of reinforcing elements varies in the radial direction. Known relationships of composite mechanics are used in order to find effective mechanical and thermophysical parameters for the material. Examples are provided for solving specific problems which point to the requirement of considering nonuniformity with respect to thickness.

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References

  1. V. V. Bolotin and K. S. Bolotina, “Thermoelastic problem for a round cylinder made of a reinforced layered material,” Mekh. Polim., No. 1, 136–141 (19677).

  2. Zh. R. Vinson and R. L. Sirakovskii, Behavior of Structures Made of Composite Materials [in Russian], Metallurgiya, Moscow (1991).

    Google Scholar 

  3. V. V. Vasil'ev, V. D. Protasov, V. V. Bolotin, et al., Composite Materials: Reference Book [in Russian], Mashinostroenie, Moscow (1990).

    Google Scholar 

  4. V. S. Sipetov, O. N. Demchuk, and R. A. Starodub, “Solution of nonstationary problems of thermoelastic deformation of layered composite structures by the finite-element method,” Mekh. Kompozitn. Mater., No. 2, 215–222 (1991).

    Google Scholar 

  5. Haier, Russo, and Tomkins, “Thermal twisting of pipes made of layered epoxy carbon-reinforced plastic,” Modern Eng., Ser. B, No. 1, 16–23 (1989).

    Google Scholar 

  6. S. G. Lekhnitskii, Elastic Theory for an Anisotropic Body [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  7. Ya. M. Grigorenko, A. T. Vasilenko, and V. D. Pankratova, Elasticity Theory Problems for a Nonuniform Body [in Russian], Naukova Dumka, Kiev (1991).

    Google Scholar 

  8. G. Carslaw and D. Eger, Thermal Conductivity of Solids [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  9. T. R. Tauchet, “Optimum design of reinforced cylindrical pressure vessels,” J. Composite Materials,15, No. 5, 390–402 (1981).

    Google Scholar 

  10. R. Kristensen, Introduction to Composite Mechanics [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  11. G. A. Vanin, Micromechanics of Composite Materials [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  12. A. M. Skudra, F. Ya. Bulavs, M. R. Gurvich, and A. A. Kruklin'sh, Elements of Structural Mechanics for Rod Systems Made of Composite Materials [in Russian], Zinatne, Riga (1989).

    Google Scholar 

  13. A. F. Kregers, I. A. Renelis, and A. M. Tolks, “Thermal conductivity of a fiber composite and its components,” Mekh. Kompozitn. Mater., No. 4, 604–608 (1987).

    Google Scholar 

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Translated from Mekhanika Kompozitnykh Materialov, Vol. 31, No. 4, pp. 494–500, July–August, 1995.

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Vasilenko, A.T. Nonsymmetrical temperature fields and stresses in cylinders made of nonuniform composites. Mech Compos Mater 31, 361–365 (1996). https://doi.org/10.1007/BF00632624

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  • DOI: https://doi.org/10.1007/BF00632624

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