Saint-Venant's problem for linear piezoelectric bodies
✍ Scribed by F. Daví
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Weight
- 675 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0374-3535
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✦ Synopsis
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, leads to an explicit solution in terms of the strain and electric fields, which depend on the stress and charge resultants and on two scalar functions determined by the solution of a plane piezoelectric problem.
📜 SIMILAR VOLUMES
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.
A method of solving Saint-Venam's problem for inhomogeneous and anisotropic elastic bodies is presented.