𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Saint-Venant's principle for a helical piezoelectric body

✍ Scribed by R. C. Batra; X. Zhong

Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
376 KB
Volume
43
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

✦ Synopsis

For a helical body made of a linear piezoelectric material and loaded at one end only by a system of self-equilibrated forces, it is shown that the strain energy stored in the part of the body distant at least s from the loaded end decreases exponentially with the distance s.

πŸ“œ SIMILAR VOLUMES

Saint-Venant's problem for linear piezoe
Saint-Venant's problem for linear piezoelectric bodies
✍ F. DavΓ­ πŸ“‚ Article πŸ“… 1996 πŸ› Springer Netherlands 🌐 English βš– 675 KB

We seek a solution for a piezoelectric cylinder acted on the end faces by applied tractions and charges, under the hypothesis that both the stress and electric displacement fields depend linearly on the axial coordinate. The analysis, restricted to monoclinic materials of crystallographic class 2, l

Saint-Venant's Principle
Saint-Venant's Principle
✍ R. A. Toupin πŸ“‚ Article πŸ“… 1965 πŸ› Springer 🌐 English βš– 696 KB
Saint-Venant's principle for linear elas
Saint-Venant's principle for linear elastic porous materials
✍ R. C. Batra; J. S. Yang πŸ“‚ Article πŸ“… 1995 πŸ› Springer Netherlands 🌐 English βš– 292 KB

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