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Shallow Prismatic Shell in a Nonuniform Temperature Field

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We study the thermal stressed state of a shallow prismatic shell composed of two flat elements. The analytic solutions of the problems of heat conduction and thermoelasticity are obtained by the method of finite integral transformations in the form of double series. The distributions of forces and moments along the coordinate lines are analyzed for different angles of inflection of the shell.

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REFERENCES

  1. S. A. Ambartsumyan, “On the problem of numerical analysis of cylindrical shells with arbitrary cross sections,” Dokl. Akad. Nauk Arm. SSR, 12, No.1, 21–26 (1950).

    Google Scholar 

  2. A. G. Nazarov, “Some contact problems of the theory of shells,” Dokl. Akad. Nauk Arm. SSR, 9, No.2, 61–66 (1948).

    Google Scholar 

  3. I. E. Mileikovskii and O. N. Zolotov, “A method for the numerical analysis of composite shells of the coatings with piecewise smooth surface and edges,” in: Numerical Analysis of Three-Dimensional Structures [in Russian], Issue 16, Stroiizdat, Moscow (1974), pp. 5–43.

    Google Scholar 

  4. B. K. Mikhailov, Plates and Shells with Discontinuous Parameters [in Russian], Leningrad University, Leningrad (1980).

    Google Scholar 

  5. Ya. F. Khlebnoi, Three-Dimensional Reinforced-Concrete Structures. Numerical Analysis and Design [in Russian], Stroiizdat, Moscow (1977).

    Google Scholar 

  6. A. T. Vasilenko and I. G. Emel'yanov, “Thermal stressed state of a box-shaped crucible,” Probl. Prochn., No. 2, 100–107 (2001).

  7. R. M. Shvets' and B. S. Khapko, “Thermoelasticity of shallow shells with kinks,” in: Boundary-Value Problems of Thermomechanics [in Ukrainian], Part 2, Naukova Dumka, Kiev (1966), pp. 169–174.

    Google Scholar 

  8. R. M. Shvets' and B. S. Khapko, “On the equations of thermoelasticity for thin shallow shells with kinks of the middle surface,” Mat. Met. Fiz.-Mekh. Polya, 40, No.1, 135–139 (1997).

    Google Scholar 

  9. R. M. Shvets' and B. S. Khapko, “Temperature fields and stresses in a shallow shell with kinks of the middle surface,” Mat. Met. Fiz.-Mekh. Polya, 42, No.2, 62–69 (1999).

    Google Scholar 

  10. D. V. Vainberg and I. Z. Roitfarb, “Numerical analysis of plates and shells with discontinuous parameters,” in: Numerical Analysis of Three-Dimensional Structures [in Russian], Issue 10, Stroiizdat, Moscow (1965), pp. 39–80.

    Google Scholar 

  11. Ya. S. Podstrigach and R. N. Shvets, Thermoelasticity of Thin Shells [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  12. Ya. S. Pidstryhach and S. Ya. Yarema, Temperature Stresses in Shells [in Ukrainian], Akad. Nauk Ukr. RSR, Kiev (1961).

    Google Scholar 

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 41, No. 2, pp. 33–38, March–April, 2005.

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Khapko, B.S. Shallow Prismatic Shell in a Nonuniform Temperature Field. Mater Sci 41, 170–177 (2005). https://doi.org/10.1007/s11003-005-0147-1

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  • DOI: https://doi.org/10.1007/s11003-005-0147-1

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