Results 221 to 230 of about 287,072 (265)

Saint-venants problem for microstretch elastic solids

International Journal of Engineering Science, 1994
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NAPPA, LUDOVICO, D. Iesan
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The Problem of Saint Venant

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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An Extension of Saint-Venant's Principle, with Applications

Journal of Applied Physics, 1942
Simple 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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ON THE SAINT-VENANT CONDITIONS FOR QUASICONFORMAL DEFORMATIONS

Mathematics of the USSR-Sbornik, 1991
Let \(Q(x)= (q_{ij}(x))\) 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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Numerical evaluation of the general flow hydraulics and estimation of the river plain by solving the Saint–Venant equation

Modeling Earth Systems and Environment, 2020
M. Roohi, Kamyar Soleymani, Mahsa Salimi, Moein Heidari   +3 more
semanticscholar   +1 more source

A generalization of the Saint-Venant’s principle for an elastic body with dipolar structure

Continuum Mechanics and Thermodynamics, 2020
M. Marin, A. Öchsner, E. Crăciun
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THE BOUSSINESQ FORM OF SAINT VENANT'S PRINCIPLE

Mathematical Models and Methods in Applied Sciences, 2000
A 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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On Saint-Venant's Principle for an Inhomogeneous Curvilinear Rectangle

Mathematics and Mechanics of Solids, 2007
A two-dimensional inhomogeneous isotropic elastic material is considered in the arch-like region a ≤ r ≤ b,0 ≤ θ ≤ α, where ( r,θ) denotes plane polar coordinates. It is envisaged that three of the edges r = a, r = b, θ = α are traction-free, while the edge θ = 0 is subjected to an (in-plane) self-equilibrated load. An appropriate energy-like measure E(
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On the assumption of Saint-Venant's problem

Applied Mathematics and Mechanics, 1985
In 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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Obtaining analytical solutions to Saint-Venant equations using optimization tools

Computational and Applied Mathematics
J. M. Martínez
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