Engineering Transactions, 64, 4, pp. 427–463, 2016

Equilibrium and Stability of Nonlinearly Elastic Cylinder Made of Blatz-Ko Material

Leonid Pavlovich OBREZKOV
Southern Federal University
Russian Federation

The Blatz-Ko model describing the behavior of nonlinearly elastic compressible material was used to model the process of stretching and inflation of hollow cylinder, both thick- and thin-walled. By means of semi-inverse method, the three-dimensional problem was reduced to the analysis of boundary-value problem for ordinary differential equation of second order. The presented numerically constructed loading diagrams show in this the model that even the regions of positive stresses can contain zones of instability. Within the framework of bifurcation analysis, size of these zones and their dependence on material parameters were determined.
Keywords: Blatz-Ko material; hollow cylinder; inflation; stretching; buckling
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Alexandrin M.V., Karyakin M.I., On the stability stretching of nonlinearly elastic cylinder, Ecological Bulletin of Research Centers of BSEC, 1: 7–12, 2010.

Zubov L.M., Sheidakov D.I. Instability of a hollow elastic cylinder under tension, Torsion and Inflation, Journal of Applied Mechanics, 75(1): 011002-1–011002-6, 2008.

Lurie A.I., Non-linear theory of elasticity, Elsevier, North Holland, 1990.

Spector S., On the absence of bifurcation for elastic bars in uniaxial tension, Archive for Rational Mechanics and Analysis, 85(2): 171–199, 1984.

Saravan U., On the large elastic deformation of prestressed right circular cylinders, International Journal of Non-Linear Mechanics, 46(1): 96–113, 2011.

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