Boundary layers in thin elastic shells with developable middle surface

摘要

We consider the boundary layer phenomena which appear in thinshell theory as the relative thickness εtends to zero. We deal witha developable middle surface. Boundary layers along and across thegenerators(which are the characteristics of the underlyingsystem)have very different structure. It also appear internal layersassociated with propagation of singularities along thecharacteristics. The special structure of the limit problem oftenimplies solutions which exhibit distributional singularities alongthe characteristics. The corresponding layers for small εhave a verylarge intensity.