Mechanics of Composite Materials

, Volume 51, Issue 4, pp 489–504 | Cite as

Nonstandard Problems for Structural Elements with Spatial Composite Ribs

  • V. M. Pestrenin
  • I. V. Pestrenina
  • L. V. Landik

Deformable bodies containing elements in the form of spatial composite ribs and subjected to a temperature or surface load are investigated. It is shown that, at the points forming the rib (singular points), the number of assigned constraints is redundant, and therefore these problems belong to the class of nonstandard ones. For all possible combinations of material and geometric parameters of the bodies studied, algebraic relations (independent constraints) between components of the stress tensor of the elements connected at the points of ribs are presented. Conditions on load parameters excluding the singular behavior of the parameters of state close to the singular points are formulated. By using an iterative numerical-analytical method, nonstandard problems on stress distributions near the points of ribs of a composite cylinder under the action of temperature and torsion are solved.


composite structures nonstandard problems stress concentration singular behavior spatial rib 


The calculations were carried out on a TESLA-PGU supercomputer of the Scientific-Educational Center of parallel and distributed calculations of the Perm State National Research University.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • V. M. Pestrenin
    • 1
  • I. V. Pestrenina
    • 1
  • L. V. Landik
    • 1
  1. 1.Perm State National Research UniversityPermRussia

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