Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells
Peng‐Fei Yao · arXiv (Cornell University) · 2019
The optimal exponentials of the thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells. We obtain that the lower bounds of the optimal exponentials are $4/3,$ $3/2,$ and $1,$ for the hyperbolic shell, the parabolic shell, and the elliptic shell, respectively, through the construction of the Ansätze.