WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 14, 2019
Radial Compression Stability of a Nonlinearly Elastic Cylinder with Internal Stresses
Authors: ,
Abstract: The effect of internal stresses caused by a linear defect such as a wedge disclination on the process of flat buckling of a hollow cylinder loaded on an external lateral surface with uniform pressure is investigated. For the analysis, the well-known models for describing compressible materials, the one-parameter model of Blatz and Ko and the five-constant Murnaghan model, were used. The stability analysis was carried out on the basis of a combination of the semi-inverse method of the nonlinear theory of elasticity and bifurcation approach. The value of a particular stress/strain characteristic for which a homogeneous boundary-value problem obtained by linearizing the original nonlinear equilibrium equations has a non-trivial solution was identified with the critical value of the loading parameter, i.e. value at which the system loses stability. The strength of disclination and the value of the applied pressure were used as such parameters. The stability regions are presented as areas on the plane of loading parameters. The possibility of the bifurcation curves condensing was demonstrated.
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Pages: 159-163
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 14, 2019, Art. #17