A mortar method for finite deformation frictional contact using a primal-dual active set strategy

We present a new approach for 2D and 3D finite deformation contact based on a dual mortar formulation and using a primal-dual active set strategy (PDASS) for direct contact constraint enforcement. Linear and higher-order (quadratic) interpolations are considered and we address both the frictionless and the frictional sliding case. The two key features of this work are a full linearization of contact forces as well as normal and tangential contact constraints in the finite deformation frame and an interpretation of the active set search as a semi-smooth Newton method. Owing to these features, a consistent Newton scheme can be applied where contact nonlinearity and all other types of nonlinearities (i.e. geometrical, material) are resolved within one single iterative method. This yields a class of robust and highly efficient algorithms for finite deformation contact problems.     «

We present a new approach for 2D and 3D finite deformation contact based on a dual mortar formulation and using a primal-dual active set strategy (PDASS) for direct contact constraint enforcement. Linear and higher-order (quadratic) interpolations are considered and we address both the frictionless and the frictional sliding case. The two key features of this work are a full linearization of contact forces as well as normal and tangential contact constraints in the finite deformation frame and a...     »