Mechanics of Composite Materials

, Volume 33, Issue 1, pp 23–45 | Cite as

Deformation of sandwich panels cylindrically bent by point forces. 2. Development of procedure

  • V. A. Polyakov
  • I. G. Zhigun
  • R. P. Shlitsa
  • V. V. Khitrov


Our proposed method [1] is extended for the cylindrical bending of an asymmetrical composite panel upon piecewise constant loading and point forces, with and without allowance for transversal stiffness (perfect compliance) in shear or tension/compression along the normal. A set of fundamental functions was obtained for all the cases examined. The properties of functions were studied taking account of the discontinuous nature of the surface loading. The set of functions was normalized for initial values of the variable coordinate. Integral relationships required for analysis were derived and an identical expression of the unit function was represented in terms of the fundamental function set. The boundary problem of a panel supported along the surface of its lower face layer with free ends is reduced to the Cauchy problem. The solution is greatly simplified for a panel symmetrical relative to its mean plane. Asymptotic formulas were obtained for the case of infinite panel length. Relationships are give for the stresses and layer deflections, which permit consideration of all the features of the stress state in addition to simplified calculations for actual panel design.


Cauchy Problem Asymptotic Formula Sandwich Panel Surface Loading Lower Face 
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  1. 1.
    V. A. Polyakov, “Deformation of sandwich panels in cylindrical bending by point forces. 1. Analytical construction,” Mekhan. Kompozitn. Mater., 32, No. 5, 588–611 (1996).Google Scholar
  2. 2.
    N. G. Allen, Analysis and Design of Structural Sandwich Panels, Pergamon Press, Oxford (1969).Google Scholar
  3. 3.
    N. G. Kalinin, “Compound rods,” in: Strength, Stability, and Vibrations. Vol. 1 [in Russian], Mashinostroenie, Moscow (1968), pp. 466–479.Google Scholar
  4. 4.
    O. T. Thomsen and W. Rits, “Analysis of sandwich plates with inserts using a higher-order sandwich plate theory,” in: Proceedings of the Tenth International Conference on Composite Materials, Vol. 5. Structures, Woodhead Publishing Limited (1995), pp. 35–42.Google Scholar
  5. 5.
    Y. Frostig, “Behavior of delaminated sandwich beam with transversely flexible core-high order theory,” Composite Structures, No. 20, 1–16 (1992).Google Scholar
  6. 6.
    Y. Frostig, “On the stress concentration in the bending of sandwich beams with transversely flexible core,” Composite Structures, No. 24, 161–169 (1993).Google Scholar
  7. 7.
    V. V. Bolotin and Yu. N. Novichkov, Mechanics of Multilaminated Structures [in Russian], Mashinostroenie, Moscow (1980).Google Scholar
  8. 8.
    R.-S. Chen and P.-C. Wu, “Analysis of the special finite element model for honeycore composites,” in: Proceedings of the Ninth International Conference on Composite Materials,” Madrid, July 12–16, 1993, Vol. 4, pp. 392–397.Google Scholar
  9. 9.
    V. V. Vasil'ev and S. A. Lur'e, “On refined theories of beams, plates and shells,” J. Composite Materials, 26, No. 4 (1992).Google Scholar
  10. 10.
    V. V. Vasil'ev and S. A. Lur'e, “Variant of the refined theory for bending of plastic laminated beams,” Mekhan. Polim., No. 4, 674–681 (1972).Google Scholar
  11. 11.
    M. Savoia and J. N. Reddy, “Three-dimensional thermal analysis of laminated composite plates,” Intern. J. Solids and Structures, 32, No. 5, 593–608 (1995).Google Scholar
  12. 12.
    A. Marshall, “Sandwich constructions,” in: Handbook of Composites, Van Nostrand Reinhold Company, 557–601 (1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • V. A. Polyakov
  • I. G. Zhigun
  • R. P. Shlitsa
  • V. V. Khitrov

There are no affiliations available

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