Boundary layer solutions for some nonlinear elastic membrane problems
The method of matched asymptotic expansions is used to describe finite axisymmetric deformations of two thin elastic membrane problems: a circular membrane with a small radial traction at the edge, an annular membrane with a small circular hole at the center. In both problems, the surface load is assumed to be an axial pressure. There is a boundary layer at the outer edge in the first problem, and at the hole in the second problem.
two-point BVP's for second-order nonlinear ordinary differential equation
scientific article; zbMATH DE number 3982645