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Saint-Venant's principle for linear elastic porous materials

✍ Scribed by R. C. Batra; J. S. Yang

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
292 KB
Volume
39
Category
Article
ISSN
0374-3535

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✦ Synopsis

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 loaded end decreases exponentially with the distance s.

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We investigate the spatial behaviour of the steady state and transient elastic processes in an anisotropic elastic body subject to nonzero boundary conditions only on a plane end. For the transient elastic processes, it is shown that at distance x3 > ct from the loaded end, (c is a positive computab