Shear bands without regularization using a boundary element technique

A boundary element technique is developed to analyze perturbations in terms of small elastic deformations superimposed upon an arbitrary, homogeneous strain. Plane strain deformations are considered of an incompressible hyperelastic solid within the elliptic range. The numerical method is based on a recently developed Green's function and boundary integral equations for non-linear incremental elastic deformations. The proposed approach yields bifurcation loads and associated deformation modes. In particular, strain localization is analyzed as a special case of instability, and −as induced by perturbations− is found to occur within the elliptic range.