Results 101 to 110 of about 149 (139)

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.
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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
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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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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.
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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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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 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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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.
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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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