Theory of Elastic Plates and Shells

Abstract

Consider the surface $\mathop \Omega \limits^ \circ$ in three-dimensional space and, at each point on the surface, erect a segment of length h directed along the normal to the surface; the centers of the segments are on $\mathop \Omega \limits^ \circ .$ The segments cover some three-dimensional region, $\mathop V\limits^ \circ$ (Fig. 14.1). If h is much smaller than the minimum curvature radius of the surface $\mathop \Omega \limits^ \circ ,$ R, and the characteristic size of the surface $\mathop \Omega \limits^ \circ$, L