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Thermoviscoelastoplastic Deformation of Compound Shells of Revolution Made of a Damageable Material

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A technique for numerical analysis of the thermoviscoelastoplastic deformation of thin compound shells made of a damageable material in which a fracture front propagates is described. A procedure for automatic variation in the step of integration of the kinetic damage equation is developed. A two-layer cylindrical shell cooling by convection and subjected to internal pressure and tensile force is analyzed as an example. The numerical data are presented and analyzed

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References

  1. G. O. Anishchenko and O. K. Morachkovskii, “Review of solutions of creep and fracture problems for fir-tree roots of blades of gas turbine engines,” in: Trans. National Polytechnic University “KhPI” [in Russian], Issue 38 (Dynamics and Strength of Machines), NTU “KhPI,” Kharkiv (2007), pp. 8–13.

  2. V. A. Bazhenov, A. I. Gulyar, S. O. Piskunov, and V. P. Andrievskii, “Solving problems of thermoviscoelastoplastic and continuous fracture of prismatic bodies,” Int. Appl. Mech., 45, No. 12, 1331–1343 (2009).

    Article  ADS  MATH  Google Scholar 

  3. A. Z. Galishin, “Axisymmetric thermoviscoelastoplastic state of thin laminated shells made of a damageable material,” Int. Appl. Mech., 44, No. 4, 431–441 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  4. A. Z. Galishin, P. A. Steblyanko, and Yu. N. Shevchenko, “Determining nonstationary temperature fields in thin laminated shells of revolution subject to axisymmetric heating,” in: Trans. Dniprodzerzhinsk State Technical University [in Russian], Issue 2(19) (Mathematical Problems of Engineering Mechanics), DDTU, Dniprodzerzhinsk (2012), 3–12.

  5. Ya. M. Grigorenko and A. T. Vasilenko, Theory of Shells with Variable Stiffness, Vol. 4 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kyiv (1981).

  6. L. M. Kachanov, Fundamentals of Fracture Mechanics [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  7. O. A. Loginov, “Propagation of a fracture front in a thick-walled pipe under creep,” in: Reliability and Strength of Mechanical Engineering Structures [in Russian], Kuibyshev (1988), pp. 61–67.

  8. A. F. Nikitenko, “Estimation of the fracture front propagation time in structural components,” Strength of Materials, 39, No. 6, 572–580 (2007).

    Article  Google Scholar 

  9. S. O. Piskunov, O. I. Gulyar, and Yu. V. Maksim’yuk, “An algorithm for solving a geometrically nonlinear problem of viscoelastoplasticity for two-dimensional bodies,” in: V. A. Bazhenov (ed.), Strength of Materials and Theory of Structures [in Ukrainian], Issue 83, KNUBA, Kyiv (2009), pp. 25–42.

  10. Y. N. Rabotnov, Creep Problems in Structural Members, North-Holland, Amsterdam (1969).

  11. Yu. N. Shevchenko, R. G. Terekhov, N. S. Braikovskaya, and S. M. Zakharov, “Failure processes of a body element as a result of creep-induced material damage,” Int. Appl. Mech., 30, No. 4, 264–271 (1994).

    Article  ADS  Google Scholar 

  12. H. Altenbach, J. Altenbach, and A. Zolochevsky, “A generalized constitutive equation for creep of polymers at multiaxial loading,” Mech. Comp. Mater., 31, No. 6, 511–518 (1995).

    Article  Google Scholar 

  13. J. Betten, Creep Mechanics, Springer-Verlag, Berlin (2002).

    Book  Google Scholar 

  14. J. Betten, S. Sklepus, and A. Zolochevsky, “A creep damage model for initially isotropic materials with different properties in tension and compression,” Eng. Fract. Mech., 59, 623–641 (1998).

    Article  Google Scholar 

  15. J. T. Boyle and J. Spence, Stress Analysis for Creep, Butterworth and Co., London (1983).

    Google Scholar 

  16. G. G. Chen and T. R. Hsu, “The role of plastic strains in creep crack growth,” Eng. Fract. Mech., 39, No. 3, 493–506 (1991).

    Article  Google Scholar 

  17. A. Galishin, A. Zolochevsky, A.Kühhorn, and M. Springmann, “Transversal shear effect in moderately thick shells from materials with characteristics dependent on the kind of stress state under creep-damage conditions: Numerical modeling,” Techn. Mech., 29, No. 1, 48–59 (2009).

    Google Scholar 

  18. D. R. Hayhurst, “Creep rupture under multi-axial states of stress,” J. Mech. Phys. Solids, 20, 381–390 (1972).

    Article  ADS  Google Scholar 

  19. D. R. Hayhurst, “The prediction of creep-rupture times of rotating disks using biaxial damage relationships,” Trans. ASME, J. Appl. Mech., No. 4, 915–920 (1973).

  20. M. Kawai, “Constitutive modeling of creep and damage behaviors of the non-Mises type for a class of polycrystalline metals,” Int. J. Damage Mech., No. 11, 223–246 (2002).

  21. L. P. Khoroshun and L. V. Nazarenko, “Deformation and damage of composites with anisotropic components (review),” Int. Appl. Mech., 49, No. 4, 388–455 (2013).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. L. P. Khoroshun and E. N. Shikula, “Coupled processes of deformation and long-term damage of physically nonlinear laminated materials,” Int. Appl. Mech., 49, No. 6, 650–657 (2013).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. L. P. Khoroshun and E. N. Shikula, “Deformation and long-term damage of physically nonlinear fibrous materials,” Int. Appl. Mech., 50, No. 1, 58–67 (2014).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. C. Shin, B. Moran, and T. Nakamura, “Energy release rate along a three-dimensional crack front in a thermally stressed body,” Int. J. Fract., 30, 79–102 (1986).

    Google Scholar 

  25. F. K. G. Odqvist, Mathematical Theory of Creep and Creep Rupture, Oxford University Press, Oxford (1974).

    MATH  Google Scholar 

  26. A. Zolochevsky, A. Galishin, S. Sklepus, and G. Z. Voyiadjis, “Analysis of creep deformation and creep damage in thin-walled branched shells from materials with different behavior in tension and compression,” Int. J. Solids Struct., 44, 5075–5100 (2007).

    Article  MATH  Google Scholar 

  27. A. Zolochevsky, A. Galishin, A.Kühhorn, and M. Springmann, ”Transversal shear effect in moderately thick shells from materials with characteristics dependent on the kind of stress state under creep-damage conditions: Theoretical framework,” Techn. Mech., 29, No. 1, 38–47 (2009).

    Google Scholar 

  28. A. Zolochevsky, S. Sklepus, A. Galishin, A. Kühhorn, and M. Kober, “A comparison between the 3D and the Kirchhoff–Love solutions for cylinders under creep-damage conditions,” Techn. Mech., 34, No. 2, 104–113 (2014).

    Google Scholar 

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Correspondence to Yu. N. Shevchenko.

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Translated from Prikladnaya Mekhanika, Vol. 51, No. 6, pp. 3–11, November–December 2015.

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Shevchenko, Y.N., Galishin, A.Z. & Babeshko, M.E. Thermoviscoelastoplastic Deformation of Compound Shells of Revolution Made of a Damageable Material. Int Appl Mech 51, 607–613 (2015). https://doi.org/10.1007/s10778-015-0717-3

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  • DOI: https://doi.org/10.1007/s10778-015-0717-3

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