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Large Deformations of a Cylindrical Tube with Prestressed Coatings

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Abstract

The problem of large deformations in a combined nonlinear elastic hollow cylinder under internal and external pressures, loaded with a longitudinal force and torque at the end faces, is under consideration. The combined cylinder is a tube with the internal and external coatings in the form of prestressed hollow circular cylinders. An exact solution to the problem is found, which is valid for any model of isotropic incompressible elastic materials.

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REFERENCES

  1. J. L. Ericksen, Zeitschr. Angew. Math. und Phys. 5, 466 (1954).

    Google Scholar 

  2. C. Truesdell and W. Noll, The Nonlinear Field Theories of Mechanics (Handbuch der Physik Vol. III/3), Ed. by S. Flügge (Springer, Berlin, 1965).

  3. C. Truesdell, A First Course in Rational Continuum Mechanics (Johns Hopkins University, Baltimore, MD, 1972; Mir, Moscow, 1975).

  4. A. I. Lurie, Nonlinear Theory of Elasticity (Nauka, Moscow, 1980; North-Holland, Amsterdam, 1990).

  5. G. Saccomandi, in Non-Linear Elasticity: Theory and Applications (Cambridge University Press, 2001), pp. 97–134.

    MATH  Google Scholar 

  6. R. S. Rivlin, Philos. Trans. R. Soc., A 242, 173 (1949).

  7. A. E. Green and J. E. Adkins, Large Elastic Deformations and Non-Linear Continuum Mechanics (Clarendon Press, Oxford, 1960).

    MATH  Google Scholar 

  8. R. W. Ogden, Non-Linear Elastic Deformations (Dover, New York, 1997).

    Google Scholar 

  9. L. M. Zubov and D. N. Sheidakov, Trans. ASME, Ser. E Appl. Mech. 75, 0110021 (2008).

    Google Scholar 

  10. L. M. Zubov and L. U. Bogachkova, Trans. ASME, Ser. E Appl. Mech. 62, 373 (1995).

    Google Scholar 

  11. L. M. Zubov, Prikl. Mat. Mekh. 70 (2), 332 (2006).

    Google Scholar 

  12. V. A. Levin, L. M. Zubov, and K. M. Zingerman, Int. J. Solids Struct. 51, 1403 (2014).

    Article  Google Scholar 

  13. A. A. Galasko and L. M. Zubov, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki, No. 4, 35 (2015).

    Google Scholar 

  14. L. M. Zubov, Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies (Springer, Berlin, 1997).

    MATH  Google Scholar 

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Correspondence to L. M. Zubov.

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Translated by A. Sin’kov

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Zubov, L.M. Large Deformations of a Cylindrical Tube with Prestressed Coatings. Dokl. Phys. 64, 70–73 (2019). https://doi.org/10.1134/S1028335819020071

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  • DOI: https://doi.org/10.1134/S1028335819020071

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