Results 141 to 150 of about 1,526,392 (193)

Some remarks on Saint‐Venant's principle

Mathematical Methods in the Applied Sciences, 1989
AbstractWe consider a three‐dimensional hyperelastic cylinder in Ω = D × [0, ∞]. We study the asymptotic behaviour of the deformations of the cross‐sections in an equilibrium state. In this case we show that the solutions either have exponential decay or exponential growth. We give some initial conditions such that the latter case occurs.
H. A. Levine, R. Quintanilla, L. E. Payne   +2 more
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Saint-Venant’s problem

2005
A prismatic rod is the body obtained by translating a plane figure S along a straight line which is perpendicular to the plane of the figure. In this case the plane figure S presents the cross-section of the rod. The axis Oz of the rod is the straight line which is the locus of the centres of inertia of the cross-sections whereas axes Ox and Oy lying ...
A. I. Lurie, Alexander Belyaev
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On a Dynamical Saint Venant Principle

Journal of Applied Mechanics, 1960
The dynamic behavior of a simple mechanical model composed of two Timoshenko beams connected by springs is studied. The accuracy of a quasi-static solution and of Saint Venant’s principle is studied for various rates of load application.
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Saint Venant’s estimates in anisotropic magnetohydrodynamics

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Summary: We study the steady motion of an incompressible viscous fluid in a semi-infinite cylinder supposing the fluid to be electrically conducting and embedded in an external magnetic field \(H\) which is constant and longitudinal. We state the rate of decay of the solution: under suitable hypotheses at infinity, the velocity field and the magnetic ...
BORRELLI, Alessandra, PATRIA, Maria Cristina   +1 more
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Saint venant's principle in linear viscoelasticity

International Journal of Engineering Science, 1997
We consider an anisotropic and inhomogeneous viseoelastic body that is subjected on the time interval \([0,T]\) to body forces and initial and boundary data having a bounded support. Then a complete description is given upon what happen in the outside of the support region \(D_T\) of the data.
S. Chirita, CIARLETTA, Michele, M. Fabrizio   +2 more
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On Saint-Venant’s Problem for an Inhomogeneous, Anisotropic Cylinder—Part I: Methodology for Saint-Venant Solutions

Journal of Applied Mechanics, 2000
In this paper, the first in a series of three, a procedure based on semi-analytical finite elements is presented for constructing Saint-Venant solutions for extension, bending, torsion, and flexure of a prismatic cylinder with inhomogeneous, anisotropic cross-sectional properties. Extension-bending-torsion involve stress fields independent of the axial
Dong, S. B., Kosmatka, J. B., Lin, H. C.
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Nonlinearity tests of the Saint Venant equations

52nd IEEE Conference on Decision and Control, 2013
The Saint Venant equations are two nonlinear partial differential equations (PDE) which are used to describe the dynamics of one-dimensional flow in open water channels. Despite being nonlinear PDEs, the Saint Venant equations seem to exhibit linear behaviour in response to sinusoidal input signals.
Mathias Foo, Erik Weyer
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Saint-Venant's principle on unbounded regions

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1990
SynopsisWe consider an anisotropic non-homogeneous linear elastic material in equilibrium and occupying an open region with non-compact boundary. In both the linearised and classical linear theories the asymptotic behaviour of the solution is determined and a clear relationship established with Saint-Venant's principle on such regions.
RIONERO, SALVATORE, KNOPS R. J., PAYNE L. E.   +2 more
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Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem

Archive for Rational Mechanics and Analysis, 1966
The singular importance, in both theory and practice, of SAINT-VENANT'S celebrated memoirs [1], [2] on what has long since become known as SAINTVENANT'S problem, requires no emphasis. Indeed, a comprehensive bibliography of the vast and varied literature to which the work contained in [1], [2] has given impetus would multiply the length of this ...
Sternberg, Eli, Knowles, James K.
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On Saint-Venant’s Problem and Saint-Venant’s Principle in Nonlinear Elasticity

1988
The pioneering work of Saint-Venant in 1856 layed the basis for an important research field in elasticity, nowadays paraphrased by the names Saint-Venant’s Principle and Saint-Venant’s Problem. It is concerned with elastic deformations of a prismatic body whose elastic properties do not depend on the axial variable and which is loaded only near its end.
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