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Saint venant's principle in sandwich strip
Computers & Structures, 1980Abstract 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.
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On Saint-Venant’s Principle for Elasto-Plastic Bodies
Mathematics and Mechanics of Solids, 2008This 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.
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Saint-Venant’s Principle for a Helical Spring
Journal of Applied Mechanics, 1978We 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.
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On Saint-Venant’s Problem with Concentrated Loads
Journal of Elasticity, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2010
We consider a set of areas contained in a plane α. For a distributed area we know from the Measure theory that, if it is measurable, its area is measured from the non-negative real number $$A = \int_A {dA.}$$
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We consider a set of areas contained in a plane α. For a distributed area we know from the Measure theory that, if it is measurable, its area is measured from the non-negative real number $$A = \int_A {dA.}$$
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An Extension of Saint-Venant's Principle, with Applications
Journal of Applied Physics, 1942Simple energy considerations, which have previously been employed to provide a rational basis for the principle of Saint-Venant, are shown to lead to the conclusion that forces applied in the neighborhood of a rigidly fixed portion of an elastic solid can cause only local stress and strain.
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Saint-venants problem for microstretch elastic solids
International Journal of Engineering Science, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
NAPPA, LUDOVICO, D. Iesan
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ON THE SAINT-VENANT CONDITIONS FOR QUASICONFORMAL DEFORMATIONS
Mathematics of the USSR-Sbornik, 1991Let \(Q(x)= (q_{ij}(x))\) be a symmetric matrix with measurable entries which are locally in \(L^ p(U)\) for some \(p>1\) and \(U\) a star shaped domain with respect to a ball. The author gives necessary and sufficient conditions on \(Q(x)\) involving its distributional derivatives, for the existence of a quasiconformal deformation \(u\) locally in \(W^
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On the assumption of Saint-Venant's problem
Applied Mathematics and Mechanics, 1985In this paper we obtain a unique solution of Saint-Venant's problem under the assumption of \((\partial^ m/\partial z^ m)\sigma_ z=0\) (m\(\geq 2)\) for noncircular prismatic bars.
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THE BOUSSINESQ FORM OF SAINT VENANT'S PRINCIPLE
Mathematical Models and Methods in Applied Sciences, 2000A nonhomogeneous linear elastic solid of general shape is subjected to surface loadings vanishing outside the r-radius sphere centered in a fixed point of its border. In this paper it is proved that the upper limit of the strain energy that might be contained in a fixed part of the body goes to zero at least as rapid as a certain power of r.
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