Results 91 to 100 of about 149 (139)

Saint-Venant’s Principle for a Helical Spring

Journal of Applied Mechanics, Transactions ASME, 1978
We consider a linear elastic helical spring of arbitrary length and of uniform cross section loaded by a self-equilibrated force system at one end only. We show that the elastic energy, stored in the portion of the spring beyond a certain distance from the loaded end, decreases exponentially with the distance.
Romesh Batra
exaly   +3 more sources

On a Dynamical Saint Venant Principle

Journal of Applied Mechanics, Transactions ASME, 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.
exaly   +3 more sources

Zanaboni's treatment of Saint-Venant's principle

Applicable Analysis, 2012
Zanaboni's version of Saint-Venant's principle, which concerns an elastic body subjected to self-equilibrated loads distributed over a part of its surface, states that the stored energy tends to zero in regions increasingly remote from the load surface. Unlike other formulations, Zanaboni's version applies to bodies of arbitrary shape.
R.J. Knops, Piero Villaggio
exaly   +2 more sources

Saint Venant’s Principle: A Biharmonic Eigenvalue Problem

Journal of Applied Mechanics, Transactions ASME, 1957
Abstract Saint Venant’s principle is formulated as a biharmonic eigenvalue problem for the symmetrical truncated wedge x ≥ 0, |y| ≤ yb (yb = 1 + x tan ω) which is stress-free along the lateral edges, and is loaded by self-equilibrating shear and normal tractions τko(y), σko(y) along edge x = 0. It is found that for the wedge angle 2ω = 0
exaly   +3 more sources

On Saint Venant’s Principle: Elastic Shells and Plates

Journal of Applied Mechanics, Transactions ASME, 1960
This investigation is concerned with an examination of the validity of Saint Venant’s principle in the theory of thin elastic shells and plates. With the aid of an integral formula derived for the displacements and their relevant partial derivatives of all orders at a fixed point of the shell middle surface, the conclusions reached may be roughly ...
exaly   +2 more sources

Saint-Venant’s Principle in Dynamics of Structures

Applied Mechanics Reviews, 2011
Research studies aiming at examination and formulation of a dynamic analog to Saint-Venant’s principle (DSVP) are critically reviewed. Article concentrates on isotropic homogeneous linear elastic response over a range of structural geometries including waveguides, with either free or constrained lateral surfaces, half space, wedges and cones.
B. Karp, D. Durban
exaly   +2 more sources

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
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

Saint venant's principle in sandwich strip

Computers & Structures, 1980
Abstract The Saint Venant's principle is generally accepted to be valid in most problems in structural mechanics. But some earlier studies have drawn attention to the fact that routine application of Saint Venant's principle in the solution of elasticity problems of sandwich type structures is not justified in general.
Ramachandra Rao, N., Valsarajan, K. V.
openaire   +2 more sources