Abstract
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, bucklingReferences
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[3] Lurie A.I., Non-linear theory of elasticity, Elsevier, North Holland, 1990.
[4] Spector S., On the absence of bifurcation for elastic bars in uniaxial tension, Archive for Rational Mechanics and Analysis, 85(2): 171–199, 1984.
[5] Saravan U., On the large elastic deformation of prestressed right circular cylinders, International Journal of Non-Linear Mechanics, 46(1): 96–113, 2011.
