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Mechanics of Composite Materials

, Volume 54, Issue 6, pp 719–732 | Cite as

A Class of 3D Problems for Layered Plates

  • L. A. AghalovyanEmail author
  • V. V. Tagvoryan
Article
  • 8 Downloads

A class of 3D problems of elasticity theory for a layered package of orthotropic plates, which, in particular, models the behavior of the lithospheric plates of Earth during the preearthquake stage, is considered. The case of separation between some layers of the package is explored. Using the asymptotic method for solving singularly perturbed differential equations, a solution of the internal 3D problem is found. The cases where the solution becomes mathematically exact are indicated, and exact solutions for a four-layer package of plates are given.

Keywords

layered plate incomplete contact separation nonclassical problem asymptotic solution 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Mechanics of the National Academy of SciencesErevanRepublic of Armenia

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