A NOTE ON THE 'FLEXURAL' SHELL MODEL FOR SHELLS WITH LITTLE REGULARITY

摘要

We derive the equations of "fiexural" shell model for shells whose middle surface is only a Lipschitz function. We introduce the new infinitesimal rotation vector inspired by the curved rod model. Using it we derive new expressions for the linearized change of metric and change of curvature tensor valid for the shells with the Lipschitz middle surface. We then give a simple proof of the existence and uniqueness of the solution of this model based on new expressions for the linearized change of metric and change of curvature tensor.