Axisymmetric bending of nonlinear elastic plate with distributed disclinations
UDC
539.3EDN
NDRXPXAbstract
Influence of distributed and isolated disclinations on bend annular elastic plate is investigated with the modified nonlinear Karman's equations. A nonlinear effect on the deflection increase of the plate loaded by transverse pressure with scaling up of disclinations density is identified through numerical solutions of modified Karman's equations. The problem of stability and post-critical behavior of the annular plate which plane stress state is conditioned by disclinations is considered. Bending equilibrium forms of flexible plate with disclinations are found.
Keywords:
nonlinear bending, disclinations density, buckling of plate, post-critical behaviorFunding information
Работа выполнена при поддержке РФФИ (09-01-00459).
References
- Зубов Л.М. Уравнения Кармана для упругой пластинки с дислокациями и дисклинациями // ДАН. 2007. Т. 412. №3. С. 343-346.
- Фам Т.Х. Большие прогибы круглой пластинки с распределенными дисклинациями // Современные проблемы механики сплошной среды: Труды XIII Междунар. конф. Ростов-н/Д, 2009. Т. 1. С. 209-212.
- Зубов Л.М., Моисеенко С.И. Выпучивание упругого цилиндра при кручении и сжатии // Изв. АН СССР. МТТ. 1981. №5. С. 78-84.
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Dates
Submitted
December 1, 2010
Accepted
December 10, 2010
Published
December 27, 2010
How to Cite
[1]
Zubov, L.M., Pham, T.K., Axisymmetric bending of nonlinear elastic plate with distributed disclinations. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2010, № 4, pp. 36–43.
License
Copyright (c) 2010 Зубов Л.М., Фам Т.Х.
This work is licensed under a Creative Commons Attribution 4.0 International License.
