Results 91 to 100 of about 130 (127)

Saint-Venant's Principle for a Piezoelectric Body

SIAM Journal on Applied Mathematics, 1998
The authors obtain decay estimate for the internal energy of a semi-infinite cylindrical body made of a linear piezoelectric material. At the base of the cylinder either the displacement vectors or the traction vectors are prescribed. A part of the lateral surface of the body is rigidly fixed, and the remaining part is free of tractions.
BORRELLI, Alessandra, PATRIA, Maria Cristina   +1 more
openaire   +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

On Saint-Venant’s Principle for Elasto-Plastic Bodies

Mathematics and Mechanics of Solids, 2008
This paper concerns Zanaboni’s version of Saint-Venant’s principle, which states that an elongated body in equilibrium subject to a self-equilibrated load on a small part of its smooth but otherwise arbitrary surface, possesses a stored energy that in regions of the body remote from the load surface decreases with increasing distance from the load ...
VILLAGGIO, PIERO, KNOPS R. J.
openaire   +2 more sources

A saint-venant principle for the gradient in the Neumann problem

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1975
The maximum principle for subharmonic functions is used to obtain upper bounds for the gradient in the Neumann problem of potential theory. These bounds, which concern a curvilinear strip domain having nonzero boundary data only on an end, entail an exponential decay of the gradient magnitude with distance from that end.
Wheeler, Lewis T., Turteltaub, Matias J., Horgan, Cornelius O.   +2 more
openaire   +2 more sources

Saint-Venant’s Principle for a Helical Spring

Journal of Applied Mechanics, 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.
openaire   +2 more sources

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.
openaire   +2 more sources

On Saint-Venant’s principle in the dynamics of elastic beams

International Journal of Solids and Structures, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berdichevsky, V., Foster, D. J.
openaire   +1 more source