Saint-Venant's principle in linear elasticity with microstructure |
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Authors: | R. C. Batra |
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Affiliation: | 1. Department of Engineering Mechanics, University of Missouri-Rolla, 65401, Rolla, MO, U.S.A.
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Abstract: | Toupin's version of the Saint-Venant principle in linear elasticity is generalized to the case of linear elasticity with microstructure. That is, it is shown that, for a straight prismatic bar made of an isotropic linear elastic material with microstructure and loaded by a self-equilibrated force system at one end only, the strain energy stored in the portion of the bar which is beyond a distance s from the loaded end decreases exponentially with the distance s. |
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