@Article{CMAA-4-87,
author = {Mardare , Cristinel and Nguyen , Thai Ha},
title = {A Constructive Proof of Korn’s Scaled Inequalities for Shells},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {1},
pages = {87--111},
abstract = {<p style="text-align: justify;">One of Korn’s scaled inequalities for shells asserts that the $H^1$-norm
of a displacement field of a shell with thickness $2ε$ clamped on a portion of
its lateral boundary, once scaled to a domain independent of $ε,$ is bounded
above by the $L^2$-norm of the corresponding scaled infinitesimal strain tensor
field multiplied by a constant of order $ε^{−1}.$ We give a constructive proof to this
inequality, and to other two inequalities of this type, which is thus different
from the original proof of Ciarlet et al. [Arch. Rational Mech. Anal. 136 (1996),
163–190].</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2024-0007},
url = {http://global-sci.org/intro/article_detail/cmaa/23792.html}
}