Axially symmetrical problem about stability of a coating - substrate system

Authors

  • Alexandrov V.M. Ishlinsky Institute of Problems in Mechanics, Russian Academy of Sciences, Moscow, Russian Federation
  • Zarubov D.I. Moscow State University, Moscow, Russian Federation

UDC

539.3:534.1

Abstract

The problem of stability is analyzed for an infinite plate (coating) under the action of a three-dimensional longitudinal force during axially cylindrical curving. The plate has bilateral contact with an elastic layer (substrate) whose base is fixed. It is determined that as the properties of the material approach those of an incompressible material, the critical force becomes considerably smaller than that calculated by replacing the elastic layer by the equivalent Fuss-Winkler foundation. The results can be used for the analysis of properties of coated bodies and laminated composites, as well as in geophysics.

Funding information

Работа выполнена при поддержке РФФИ (05-01-00002), РФФИ_р_юг (06-01-96804_офи).

Author info

  • Viktor M. Alexandrov

    д-р физ.-мат. наук, профессор, главный научный сотрудник лаборатории моделирования в механике деформируемого твердого тела Института проблем механики РАН

  • Dmitriy I. Zarubov

    соискатель кафедры теории пластичности Московского государственного университета им. М.В. Ломоносова

References

  1. Работнов Ю.Н. Механика деформируемого твердого тела. М.: Наука, 1979. 744 с.
  2. Александров В.М. Устойчивость системы покрытие-подложка при продольном сжатии покрытия // Изв. РАН, МТТ. 2001. №4. С. 76-79.
  3. Авилкин В.И., Александров В.М., Коваленко Е.В. Об использовании уточненных уравнений тонких покрытий в теории осесимметричных контактных задач для составных оснований // ПММ. 1985. Т. 49. Вып. 6. С. 1010-1018.

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Issue

No. 4 (2006)

Pages

10-13

Section

Mechanics

Dates

Submitted

March 21, 2006

Accepted

May 8, 2006

Published

December 25, 2006

How to Cite

[1]
Alexandrov, V.M., Zarubov, D.I., Axially symmetrical problem about stability of a coating - substrate system. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2006, № 4, pp. 10–13.

License

Copyright (c) 2006 Александров В.М., Зарубов Д.И.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.