In this paper we consider the eigenvalue problem for piezoelectric shallow shells and we show that, as the thickness of the shell goes to zero, the eigensolutions of the three-dimensional piezoelectric shells converge to the eigensolutions of a two-dimensional eigenvalue problem.
Cite
@article{arxiv.math/0309416,
title = {Variations of thin piezoelectric shallow shells: Two-dimensional approximation},
author = {N. Sabu},
journal= {arXiv preprint arXiv:math/0309416},
year = {2007}
}