Singular behavior at the end of a ribbon-like, rigid inclusion embedded in an elastic-plastic material

Singular stress field at the end of a ribbon-like, rigid inclusion in an elastic-plastic body is presented for both generalized plane stress and plane strain. A total deformation theory is used, where the body is assumed to be a power-law hardening material. The order of the stress singularity is determined with the aid for the path-independent line J-integral and as expected is exactly the same as that of the crack-tip stress singularity. Numerical work is carried out for several values of the hardening exponent, and the circumferential variation of the stresses and the location of the elastic-plastic boundaries are presented graphically.