A three-field augmented Lagrangian formulation of unilateral contact problems with cohesive forces
David Doyen, Alexandre Ern, Serge Piperno (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We investigate unilateral contact problems with cohesive forces, leading to the constrained minimization of a possibly nonconvex functional. We analyze the mathematical structure of the minimization problem. The problem is reformulated in terms of a three-field augmented Lagrangian, and sufficient conditions for the existence of a local saddle-point are derived. Then, we derive and analyze mixed finite element approximations to the stationarity conditions of the three-field augmented...