On the effect of the contact surface definition in the Cartesian grid finite element method

[EN] The definition of the surface plays an important role in the solution of contact problems, as the evaluation of the contact force is based on the measure of the gap between the solids. In this work three different methods to define the surface are proposed for the solution of contact problems within the framework of the 3D Cartesian grid finite elementmethod. A stabilized formulation is used to solve the contact problem and details of the kinematic description for each surface definition are provided. The three methods are compared solving some numerical tests involving frictionless contact with finite and small deformations.The authors wish to thank the Spanish Ministerio de Economia y Competitividad the Generalitat Valenciana and the Universitat Politècnica de València for their financial support received through the projects DPI2017-89816-R, Prometeo 2016/007 and the FPI2015 program.Navarro-Jiménez, J.; Tur Valiente, M.; Fuenmayor Fernández, F.; Ródenas, JJ. (2018). 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