ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES
Philippe G. Ciarlet, Sorin Mardare · Mathematical Models and Methods in Applied Sciences · 2001
We show how the inequality of Korn's type on a surface can be established as a corollary to the three-dimensional Korn inequality in curvilinear coordinates. The proof relies in particular on a careful study of the linearized Kirchhoff–Love displacement fields inside a "shell-like" body.