Inflation of a Cylindrical Membrane Partially Stretched over a Rigid Cylinder

Tipo de material: Texto

TextoSeries ; In Recent Developments in the Theory of Shells. Springer, Cham., p.351-365, 2019Trabajos contenidos:

Kolesnikov, A. M

Tema(s):

CYLINDRICAL MEMBRANE

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Resumen: We consider the problem of a contact between an initially cylindrical hyperelastic membrane and a rigid rough cylinder. One end of the cylindrical membrane is partially stretched over the rigid cylinder. A uniform internal pressure is applied on that part of the membrane which is not in contact with the cylinder. The membrane is in equilibrium and does not slide off the rigid cylinder due to a friction in the contact area. Is assumed to hold on the contact surface Coulomb's law of friction is assumed to hold in the contact area. The membrane is composed of an incompressible homogeneous, isotropic elastic material possessing a strain energy function. The problem is formulated for arbitrary form of the strain energy function. For the particular case of the Bartenev-Khazanovich (Varga)material, the exact solution is obtained.

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Previous	B-17913 On Some Recent Discrete-Continuum Approaches to the Solution of Shell Problems.	B-17914 A Composite Wave Model for a Cylindrical Shell	B-17915 A Beam-Just a Beam in Linear Plane Bending	B-17916 Inflation of a Cylindrical Membrane Partially Stretched over a Rigid Cylinder	B-17917 Singular Surface Curves in the Resultant Thermodynamics of Shells	B-17918 Hybrid-Mixed Shell Finite Elements and Implicit Dynamic Schemes for Shell Post-buckling	B-17919 Development of Invariant-Based Triangular Element for Nonlinear Thermoelastic Analysis of Laminated Shells.	Next

We consider the problem of a contact between an initially cylindrical hyperelastic membrane and a rigid rough cylinder. One end of the cylindrical membrane is partially stretched over the rigid cylinder. A uniform internal pressure is applied on that part of the membrane which is not in contact with the cylinder. The membrane is in equilibrium and does not slide off the rigid cylinder due to a friction in the contact area. Is assumed to hold on the contact surface Coulomb's law of friction is assumed to hold in the contact area. The membrane is composed of an incompressible homogeneous, isotropic elastic material possessing a strain energy function. The problem is formulated for arbitrary form of the strain energy function. For the particular case of the Bartenev-Khazanovich (Varga)material, the exact solution is obtained.

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