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FINITE AXISYMMETRIC DEFORMATIONS OF AN INITIALLY CYLINDRICAL ELASTIC MEMBRANE

Quarterly Journal of Mechanics and Applied Mathematics, 1969
A J M Spencer
exaly   +2 more sources

On Axisymmetrical Deformations of Nonlinear Membranes

Journal of Applied Mechanics, 1970
The mechanics problem concerning large axisymmetric deformations of nonlinear membranes is reformulated in terms of a system of three first-order ordinary differential equations with explicit derivatives. With a set of proper boundary conditions, arrangements are made to change the boundary-value problem into the form of an initial value problem such ...
Yang, W. H., Feng, W. W.
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Large-Strain Axisymmetric Deformation of Cylindrical Shells

Journal of Applied Mechanics, 1987
Nonlinear equations are derived for the axisymmetric deformation of thin, cylindrical shells made of Mooney-Rivlin materials and subject to arbitrarily large strains and rotations. These equations are then implemented numerically using an energy minimization technique.
Brodland, G. W., Cohen, H.
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Non linear elastic axisymmetric deformation of membranes with torsion

Acta Mechanica, 1982
In this paper we formulate the problem of finite axisymmetric inflation with a superposed finite twist applied to an initially cylindrical membrane of Mooney-Rivlin material sealed at both ends with rigid plugs. The system of differential equations is solved numerically.
Matsikoudi-Iliopoulou, Maria, Lianis, G.
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Profiles of slightly deformed axisymmetric drops

Journal of Colloid and Interface Science, 1984
Abstract An asymptotic solution to the Laplace equation of capillarity is developed for axisymmetric fluid/liquid interfaces at low Bond Number. The theory describes the profiles of various interfaces (sessile and pendant drops, liquid bridges) that are close to a spherical shape.
P.G Smith, T.G.M Van De Ven
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Deformable Axisymmetric Gyros

1989
In the present chapter a near-rigid solid is defined. The concept is then introduced into gyrodynamics. After defining the properties of a suitable floating coordinate system, the latter is used to obtain suitable equations of gyrodynamics for deformable bodies.
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Large Deformation of Axisymmetric Viscoplastic Shells

1995
In different fields of applications, thin structures are subject to finite strain elasto-viscoplastic deformations. Metal sheet forming is a well established example. From a computational point of view, governing three-dimensional equations defined over thin domains suffer in general from ill-conditioning which can be avoided by appealing to shell ...
Carlo Sansour, Franz G. Kollmann
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Axisymmetric deformation of transforming ceramic rings

Mechanics of Materials, 1993
Abstract The present investigation concerns the effect of various possible laws that control transformation of certain multiphase ceramics based on the solution of axisymmetrically deforming thick ring configurations. Stress induced transformation plays a dominant role in toughening, and hence in the strength and fatigue properties of transforming ...
Antonios E. Giannakopoulos   +1 more
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Angular Momentum of a Torque-Free Deforming Axisymmetric Gyro

Journal of Applied Mechanics, 1994
Attitude drift and attitude stability studies of torque-free gyros involve an angular momentum that is constant in magnitude and direction. The problem is to find suitable coordinates to describe the gyro’s behavior, and then to express the (constant) angular momentum in these coordinates. Expressions for small deformation are available. In the present
Rimrott, F. P. J., Janabi-Sharifi, F.
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Mixed‐enhanced formulation for finite deformation axisymmetric‐torsion

International Journal for Numerical Methods in Engineering, 2004
AbstractThe development and implementation of a four‐noded quadrilateral element for the analysis of the axisymmetric‐torsion problem is presented in the context of the mixed‐enhanced method. The deformation gradient is developed from two sets of element interpolants, of which one may be explicitly obtained resulting in only two undetermined enhanced ...
Kasper, E. P., Taylor, R. L.
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