@article{Kerdid2023, 
author = {Nabil Kerdid},
title = {Asymptotic analysis of high frequency modes for thin elastic plates},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {8},
pages = {18618-18630},
keywords = {linear elasticity, asymptotic analysis, thin plates, eigenvalue problem, high frequency modes, stretching vibrations},
url = {https://www.sciopen.com/article/10.3934/math.2023948},
doi = {10.3934/math.2023948},
abstract = {In this paper, we show that the high frequency modes of a thin clamped plate and the associated eigenfunctions converge, as the thickness of the plate goes to zero, to the eigenvalues and the eigenfunctions of a two-dimensional eigenvalue problem associated to the stretching displacements of the plate.}
}