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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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On Uniqueness of Axisymmetric Deformations of Elastic Plates and Shells

SIAM Journal on Mathematical Analysis, 1988
The purpose of this paper is to apply elementary methods of classical analysis in proving some general uniqueness theorems concerning finite axisymmetric deformations of thin shells of revolution. Problems where the radial membrane stress is nonnegative are investigated, and it is rigorously shown that the solutions of the relevant boundary value ...
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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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Dynamic free-surface deformations in axisymmetric liquid bridges

Advances in Space Research, 2004
Thermocapillary convection in a differentially heated liquid bridge is investigated in a two-dimensional numerical study. The deformable free surface is obtained as a solution of the coupled transport equations at fixed unit Prandtl number and aspect ratio.
Bok-Cheol, Sim   +2 more
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Finite axisymmetric deformations of elastic membranes

International Journal of Engineering Science, 1972
Abstract We consider the axisymmetric deformations due to edge tractions and internal pressure of an elastic membrane composed of a homogeneous, incompressible and isotropic material possessing a strain-energy function. For a given initial thickness the undeformed membrane is determined in terms of the deformed configuration.
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