Results 101 to 110 of about 130 (127)

On Saint Venant's principle for microstretch elastic bodies

International Journal of Engineering Science, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ieşan, D., Scalia, A.
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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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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 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 plate theories and Saint-Venant's principle

International Journal of Solids and Structures, 1985
The paper applies a general method developed by the authors in another publication (novel applications of Betti-Rayleigh reciprocal theorem) to derive the correct set of boundary conditions for arbitrarily prescribed edge data [J. Elasticity 14, 27-64 (1984; Zbl 0536.73047)].
Gregory, R. D., Wan, F. Y. M.
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"SOME REMARKS ON THE PRINCIPLES OF SAINT-VENANT"

Bulletin of Toraighyrov University. Physics & Mathematics series, 2023
"The validity of the generalized Hooke’s law is checked by the relations obtained from the solution of the boundary value problem of the equilibrium of the cylinder, the boundary conditions on the basis of which are simplified on the basis of the narrowed and general principles of Saint-Venant. However, these relations are not a generalized Hooke’s law,
null T. B. Duishenaliyev, null V. G. Moskvin   +1 more
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The Saint-Venant problem and principle in elasticity

International Journal of Solids and Structures, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, X. S., Zhong, W. X., Zhang, H. W.
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Recent Developments Concerning Saint-Venant's Principle

1983
In this 90-page monograph the authors present a comprehensive discussion of Saint-Venant's principle and its application in a variety of settings. The main concepts are illustrated through an example: the flow in a cylinder. Next, a series of problems in linear elastostatics are discussed.
Horgan, Cornelius O., Knowles, James K.
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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
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On Saint-Venant's principle in linear elastodynamics

Journal of Elasticity, 1996
The authors use the displacement characterization of linear elastodynamics for a nonhomogeneous anisotropic semi-infinite cylinder subject to homogeneous initial conditions and loaded on its plane end only (or for a long body whose boundary includes a loaded plane) in order to obtain space-time estimates for measure of energy of a portion of the ...
Chiriţă, S., Quintanilla, R.
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