The spatial structure of the stress field in the neighbourhood of the corner point of a thin plate
The bending of a plate with a rigidly clamped edge is studied. The contour which forms the boundary of the middle cross-section has a corner point. The effects of the boundary layers, namely of the plane layer (near the smooth part of the side surface) and the three-dimensional layer (near the characteristic line) are compared. The terms in the asymptotic representation of the plate deformation energy are determined, taking into account the general effect of the three-dimensionality.
scientific article; zbMATH DE number 500802