ELLIPTIC INTEGRAL SOLUTIONS FOR EXTENSIONAL ELASTICA WITH CONSTANT INITIAL CURVATURE

Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces

In this article we solve in closed form a system of nonlinear differential equations modelling the elastica in space of a thin, flexible, straight rod, loaded by a constant thrust at its free end. Common linearizations of strength of materials are of course not applicable any way, because we analyze great deformations, even if not so large to go off the linear elasticity range. By passing to cy...

Constant Force Extensional Rheometry of Polymer Solutions

We revisit the rapid stretching of a liquid filament under the action of a constant imposed tensile force, a problem which was first considered by Matta & Tytus [JNNFM vol. 35, pp 215-229, 1990]. A liquid bridge formed from a viscous Newtonian fluid or from a dilute polymer solution is first established between two cylindrical disks. The upper disk is held fixed and may be connected to a force ...

integral inequalities for submanifolds of hessian manifolds with constant hessian sectional curvature

in this paper, we obtain two intrinsic integral inequalities of hessian manifolds.

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Euler's Elastica and Curvature Based Inpaintings