@article{Kerdid2023, 
author = {Nabil Kerdid},
title = {Asymptotic analysis of stretching modes for a folded plate},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {23974-23988},
keywords = {linear elasticity, asymptotic analysis, stretching modes, folded plate, eigenvalue problem},
url = {https://www.sciopen.com/article/10.3934/math.20231222},
doi = {10.3934/math.20231222},
abstract = {In this paper, we show that the spectral problem associated to stretching modes in a thin folded plate can be derived from the three-dimensional eigenvalue problem of linear elasticity through a rigourous convergence analysis as the thickness of the plate goes to zero. We show, using a nonstandard asymptotic analysis technique, that each stretching frequency of an elastic thin folded plate is the limit of a family of high frequencies of the three-dimensional linearized elasticity system in the folded plate, as the thickness approaches zero.}
}