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Mechanics of Composite Materials

, Volume 31, Issue 5, pp 493–497 | Cite as

Model of a layered plate considering nonideal contact between layers

  • V. G. Piskunov
  • A. V. Marchuk
  • S. A. Ogarkov
Article

Abstract

We propose a mathematical model for doing calculations for layered plates, allowing for both rigid and sliding contact in the presence of frictional forces between the sliding layers. The model takes into account the distribution of tangential and normal displacements across the thickness of the sliding layered stack, and also the distribution of transverse normal stresses. The strain tensor is obtained using the Cauchy relations; the stress tensor is obtained based on Hooke's law. Tne Lagrange variational principle allows us to obtain the resolvent system of differential equations and the corresponding boundary conditions. The spatial model for deformation of a layered plate has a number of special features compared with familiar models. The system of differential equations has operators no higher than second order. It is described relative to displacements on the faces of the stack. This is convenient in solving problems involving sliding of layers with and without friction.

Keywords

Boundary Condition Differential Equation Mathematical Model Normal Stress Stress Tensor 
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.
    V. G. Piskunov, “A variant of the nonclassical theory of inhomogeneous flattened shells and plates,” Prikl. Mekh.,16, No. 11, 76–81 (1979).Google Scholar
  2. 2.
    A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul'ga, Theory and Calculation for Layered Orthotropic Plates and Shells [in Russian], Vishcha Shkola, Kiev (1986).Google Scholar
  3. 3.
    V. G. Piskunov, V. S. Sipetov, and Sh. Sh. Tuimetov, “Bending of a thick transversely isotropic plate with transverse loading,” Prikl. Mekh., No. 11, 21–26 (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • V. G. Piskunov
  • A. V. Marchuk
  • S. A. Ogarkov

There are no affiliations available

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