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Solution of nonaxisymmetric three-dimensional thermoplasticity problem by the secondary-stress method

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Abstract

The nonaxisymmetric thermoplasticity problem for a laminar solid of revolution is solved by successive approximation. The theory of deformation along slightly curved trajectories linearized by the secondary-stress method is employed. Numerical examples show that the proposed procedure reduces the number of successive approximations by 20% relative to the traditional approach.

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References

  1. M. E. Babeshko, and V. G. Savchenko, “Successive approximation in thermoplasticity boundary problems,”Prikl. Mekh.,34, No. 3, 37–44 (1998).

    MATH  Google Scholar 

  2. M. E. Babeshko, and V. G. Savchenko, “Improving the convergence of the secondary-strain method in thermoplasticity boundary problems for deformation along small-curvature trajectories,”Prikl. Mekh.,34, No. 8, 75–81 (1998).

    MATH  Google Scholar 

  3. V. G. Savchenko, “Nonsteady temperature fields in solids of revolution on nonaxisymmetric heating,”Probl. Prochn., No. 1, 33–36 (1982).

    Google Scholar 

  4. V. G. Savchenko, “Nonaxisymmetric temperature fields and thermostress state of laminar solids of revolution made of isotropic and curvilinearly orthotropic materials,”Prikl. Mekh.,29, No. 8, 13–21 (1993).

    Google Scholar 

  5. V. G. Savchenko, “Nonaxisymmetric thermal and stress state of laminar solids of revolution, taking account of rectilinearly orthotropic layers,”Prikl. Mekh.,30, No. 9, 9–15 (1994).

    Google Scholar 

  6. V. G. Savchenko, “Thermostress state of laminar solids of revolution made of isotropic and rectilinearly orthotropic materials,”Prikl. Mekh.,31, No. 4, 4–9 (1995).

    Google Scholar 

  7. V. G. Savchenko, “Nonaxisymmetric thermostress state of stepwise uniform solids of revolution with orthotropic layers,”Prikl. Mekh.,32, No. 2, 53–58 (1996).

    Google Scholar 

  8. V. G. Savchenko, “Stress state of solids of revolution that are composite in the azimuthal direction,”Prikl. Mekh.,32, No. 7, 32–37 (1996).

    Google Scholar 

  9. Yu. N. Shevchenko, M. E. Babeshko, and R. G. Terekhov,Thermoviscoelastoplastic Complex-Deformation Processes of Structural Elements [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  10. Yu. N. Shevchenko and V. G. Savchenko,Mechanics of Coupled Fields in Structural Elements, in five volumes, Vol. 2,Thermoviscoplasticity [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 35, No. 12, pp. 19–25, December, 1999.

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Savchenko, V.G., Babeshko, M.E. Solution of nonaxisymmetric three-dimensional thermoplasticity problem by the secondary-stress method. Int Appl Mech 35, 1207–1213 (1999). https://doi.org/10.1007/BF02682393

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  • DOI: https://doi.org/10.1007/BF02682393

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