A boundary element technique for incremental, non-linear elasticity: Part II: Bifurcation and shear bands Original Research Article

Incremental elastic deformations superimposed upon a given homogeneous strain are analyzed employing the boundary element technique developed in Part I of this study. As a consequence of the fact that the formulation fully embodies non-linear effects, the proposed approach yields bifurcation loads and associated deformation modes. In particular, bifurcations of elastic structures are investigated, including cracked bodies and multilayers. As special cases of instability not involving length scales, surface bifurcations and shear bands are analyzed and they are both found to occur within the elliptic range, as induced by perturbations.