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Continuum Mechanics and Thermodynamics
Published in: Continuum Mechanics and Thermodynamics 1/2024

18-09-2023 | Original Article

Influence of dislocations on equilibrium stability of nonlinearly elastic cylindrical tube with hydrostatic pressure

Authors: Evgeniya V. Goloveshkina, Leonid M. Zubov

Published in: Continuum Mechanics and Thermodynamics | Issue 1/2024

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Abstract

The phenomenon of buckling of a nonlinearly elastic hollow circular cylinder with dislocations under the action of hydrostatic pressure is studied. The tensor field of the density of continuously distributed dislocations is assumed to be axisymmetric. The subcritical state is described by a system of nonlinear ordinary differential equations. To search for equilibrium positions that differ little from the subcritical state, the bifurcation method is used. Within the framework of the model of a compressible semi-linear (harmonic) material, the critical pressure at which the loss of stability occurs is determined, and the buckling modes are investigated. The effect of edge dislocations on the equilibrium bifurcation is analyzed. It is shown that the loss of stability can also occur in the absence of an external load, i.e., due to internal stresses caused by dislocations.
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Metadata
Title
Influence of dislocations on equilibrium stability of nonlinearly elastic cylindrical tube with hydrostatic pressure
Authors
Evgeniya V. Goloveshkina
Leonid M. Zubov
Publication date
18-09-2023
Publisher
Springer Berlin Heidelberg
Published in
Continuum Mechanics and Thermodynamics / Issue 1/2024
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-023-01255-3

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