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Materials Science

, Volume 45, Issue 1, pp 57–65 | Cite as

Stressed state of a hollow two-layer cylinder under dynamic loads

  • L. I. Onyshko
  • M. M. Senyuk
Article
  • 44 Downloads

The dynamic problem of an elastic two-layer hollow cylinder whose surfaces are loaded by arbitrary forces is solved by the method based on the use of finite differences solely with respect to time. The numerical calculations of the stress concentration on the inner and outer surfaces and the surface of conjugation as functions of times are carried out for cylinders with different thicknesses of the layers under impact loads. The dependences of stresses on the radial variable r and time parameter τ are illustrated for two-layer cylinders subjected to impacts on the inner and outer surfaces.

Keywords

Hollow Cylinder Hoop Stress Elastic Cylinder Karpenko Physicomechanical Institute Inhomogeneous Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    X. C. Yin and Z. Q. Yue, “Transient plane-strain response of multilayered elastic cylinders to axisymmetric impulse,” J. Appl. Mech., 69, No. 6, 825–835 (2002).MATHCrossRefGoogle Scholar
  2. 2.
    G. Cinelli, “Dynamic vibrations and stresses in elastic cylinders and spheres,” J. Appl. Mech., 33, 825–830 (1966).MATHGoogle Scholar
  3. 3.
    Y. N. Gong and X. Wang, “Radial vibrations and dynamic stress in elastic hollow cylinders,” in: Structural Dynamics: Recent Advances, Elsevier, London (1991), pp. 137–147.Google Scholar
  4. 4.
    X. Wang and Y. N. Gong, “A theoretical solution for axially symmetric problem in elastodynamics,” Acta Mech. Sin., 7, 275–282 (1992).Google Scholar
  5. 5.
    X. C. Yin, “Multiple impacts of two concentric hollow cylinders with zero clearance,” Int. J. Solids Struct., 34, 4597–4616 (1997).MATHCrossRefGoogle Scholar
  6. 6.
    X. C. Yin and L. G. Wang, “The effect of multiple impacts on the dynamics of an impact system,” J. Sound Vibr., 228, 995–1015 (1999).CrossRefADSGoogle Scholar
  7. 7.
    M. P. Savruk, “New method for the solution of dynamic problems of the theory of elasticity and fracture mechanics,” Fiz.-Khim. Mekh. Mater., 39, No. 4, 7–12 (2003).Google Scholar
  8. 8.
    M. P. Savruk, L. I. Onyshko, and M. M. Senyuk, “A plane dynamic axisymmetric problem for a hollow cylinder,” Fiz.-Khim. Mekh. Mater., 44, No. 1, 7–14 (2008).Google Scholar
  9. 9.
    A. Ya. Sagomonyan, Stress Waves in Continuous Media [in Russian], Moscow University, Moscow (1985).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Karpenko Physicomechanical InstituteUkrainian National Academy of SciencesLvivUkraine

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