Saint-Venant's principle and the anti-plane elastic wedge
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چکیده
منابع مشابه
Saint - Venant ' s Principle for Linear Elastic Porous Materials
Toupin's version of the Saint-Venant's principle in linear elasticity is generalized to the case of linear elastic porous materials. That is, it is shown that, for a straight prismatic bar made of a linear elastic material with voids and loaded by a self-equilibrated system of forces, at one end only, the internal energy stored in the portion of the bar which is beyond a distance s from the loa...
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RI~SUMt~ Par une mdthode applicable ~t un tr~s grand nombre de milieu anisotropique, l'auteur utilise les in6galit6s concern~nt la d~croissance de l'6nergie darts le cas d'un probl~me plan et dans l'hypoth6se de conditions 61astostatiques lin~ahes, l'auteur pr6cise la validit6 du principe de Saint-Venant dans le cadre de ses applications. Une limite in fdrieure (en fonction des constantes 61ast...
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The so-called principle of statically equivalent loads, due to Saint Venant, has been referred to for the last fifty years in almost all texts on elasticity. The statements in different books vary only slightly. Let us quote A. E. H. Love's Treatise on the mathematical theory of elasticity (4th éd., p. 132) : "According to this principle the strains that are produced in a body by the applicatio...
متن کاملOn Saint-Venant s principle in the dynamics of elastic beams
In dynamics, Saint-Venant s principle of exponential decay of stress resulting from a self-equilibrating load is not valid. For a beam type structure, a self-equilibrated load may penetrate well inside the beam. Although this effect has been known for a long time, at least since Lamb s paper [Proc. Roy. Soc. Lon. Ser. A 93 (1916) 114], it was not clear how to characterize it quantitatively. In ...
متن کاملOn Saint-Venant s principle in the two-dimensional flexural vibrations of elastic beams
In this paper we apply the method proposed in our previous paper [Int. J. Solids Struct. 40(13–14) (2003) 3293] to quantitatively estimate the violation of Saint-Venant s principle in the problem of flexural vibration of a two-dimensional strip. A probabilistic approach is used to determine the relative magnitude of the penetrating stress state and the results of computations are presented as a...
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ژورنال
عنوان ژورنال: The Journal of Strain Analysis for Engineering Design
سال: 1996
ISSN: 0309-3247,2041-3130
DOI: 10.1243/03093247v313231