The singular wedge problem in the nonlinear elastostatic plane stress theory

A finite elastostatic analysis of the singular equilibrium field in the pro ximity of the apex of a wedge, with clamped-free radial edges and general f ar-field loading conditions, is performed. The problem is formulated for co mpressible hyperelastic sheets under a plane stress condition. An asymptoti c procedure is proposed to compute the deformation and stress singular fiel ds. Emphasis is placed on the investigation of the dependence of the order of singularity in the asymptotic Piola-Kirchhoff and Cauchy stresses on the wedge angles. The case of a half-plane bounded to a rigid substrate is stu died in detail.