Abstract
This paper deals with the treatment of tool-work contact problems in the simulation of sheet metal bending processes using an elasto-plastic finite element method. The conditions of contract, including separation, penetration and friction, between tool and workpiece vary during the deformation process. An extended r-minimum method was employed for satisfying the above conditions. Special care was taken to treat the alteration of sticking-sliding state of friction. A special feature of this work is that a corner contact model with sliding-sticking friction is formulated in an incremental way. An approach to describe sheet sliding on a tool corner with friction is proposed and based on this approach stiffness equations and solution algorithms are introduced. These algorithms are convenient to treat the conditions of impenetrability and sliding-sticking state of friction at the corner contact interface. The contact processes of U-bending and V-bending were simulated to demonstrate applicability of the method.
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