Results 111 to 120 of about 130 (127)

Application of Saint Venant’s Principle in Dynamical Problems

Journal of Applied Mechanics, 1955
Abstract The propagation of stresses in bars under time-dependent self-equilibrating end loads is discussed by means of a simple model. It is found that high stresses are restricted to a short region near the end of the bar if the loads are applied comparatively slowly, but extend to longer portions if the loads are rapidly applied.
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Saint Venant’s Principle: A Biharmonic Eigenvalue Problem

Journal of Applied Mechanics, 1957
Abstract Saint Venant’s principle is formulated as a biharmonic eigenvalue problem for the symmetrical truncated wedge x ≥ 0, |y| ≤ yb (yb = 1 + x tan ω) which is stress-free along the lateral edges, and is loaded by self-equilibrating shear and normal tractions τko(y), σko(y) along edge x = 0. It is found that for the wedge angle 2ω = 0
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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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Saint-Venant's principle in linear piezoelectricity

Journal of Elasticity, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Batra, R. C., Yang, J. S.
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On Saint-Venant’s Problem and Saint-Venant’s Principle in Nonlinear Elasticity

1988
The pioneering work of Saint-Venant in 1856 layed the basis for an important research field in elasticity, nowadays paraphrased by the names Saint-Venant’s Principle and Saint-Venant’s Problem. It is concerned with elastic deformations of a prismatic body whose elastic properties do not depend on the axial variable and which is loaded only near its end.
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On Saint Venant’s Principle: Elastic Shells and Plates

Journal of Applied Mechanics, 1960
This investigation is concerned with an examination of the validity of Saint Venant’s principle in the theory of thin elastic shells and plates. With the aid of an integral formula derived for the displacements and their relevant partial derivatives of all orders at a fixed point of the shell middle surface, the conclusions reached may be roughly ...
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On Saint-Venant's Principle in Elasticity

1985
Publisher Summary The Saint-Venant's Principle is considered from the angle of its present practical interest in Structural Mechanics, especially for composite structures. The interior large wavelength effect must be separated from the edge or extremity effects with a small wavelength to be computed.
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Saint-Venant’s Principle for Sandwich Structures

1998
A review is provided of results on Saint-Venant decay lengths for self-equilibra ted edge loads in symmetric sandwich structures. In linear elasticity, Saint-Venant’s principle is used to show that self-equilibrated loads generate local stress effects that decay away from the loaded end of a structure. For homogeneous isotropic linear elastic materials
C. O. Horgan, S. C. Baxter
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SAINT-VENANT'S PRINCIPLE IN LINEAR THERMOELASTICITY

Journal of Thermal Stresses, 1995
Spatial decay estimates of Saint-Venant type for an energetic measure are established in dynamical theory of linear thermoelasticity. The decay rate depends on the thermoelastic coefficients and the time t. The spatial decay of end effects is very fast for appropriate short values of the time variable.
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Some aspects of Saint Venant's principle

Journal of the Mechanics and Physics of Solids, 1957
Abstract When self-equilibrating tractions act on an edge of a rectangle, the stresses decay exponentially with distance from the loaded edge. This decay is illustrated for a number of important cases. Results are also given for the half plane loaded by self-equilibrating edge tractions.
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