A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process

This paper presents a non-ordinary state-based peridynamic formulation that can be applied to the metal machining analysis. The new formulation is first derived by utilizing the technique of mixed local/nonlocal gradient approximations to enforce the contact and essential boundary conditions associated in modeling the machining process. A stabilized peridynamic force vector state is then introduced to suppress the zero-energy modes which show up as the result of particle integration of the state-based peridynamic formulation. The introduction of the stabilized peridynamic force vector state eliminates the need of an estimation of the force-spring-like bond forces and leads to a consistent computation of peridynamic equations of motion using a general constitutive model. Finally, a continuum damage model is incorporated into the present state-based peridynamic formulation together with a decomposed stabilized approximate deformation gradient based on a neighbor particle reconstruction scheme to model the ductile metal failure and to maintain a well-defined geometric mapping in finite deformation. Three numerical benchmarks are analyzed to demonstrate the effectiveness and regularization of the present method for simulating the metal machining process. (C) 2015 Elsevier B.V. All rights reserved.