摘要

A pure-bending model for thin films, accurate to leading order in film thickness, is rigorously established on the basis of the three-dimensional theory of materially uniform elastic bodies. A model accounting for both stretching and bending is also proposed. This incorporates a natural extension of Koiter's theory. We show that the classical Kirchhoff-Love hypothesis, to the effect that material lines normal to the film remain so in the course of deformation, is not generally valid.

  • 出版日期2015-3