Frictional node-to-segment contact analysis based on the modified area regularization technique

Node-to-segment (NTS) contact algorithm based on the penalty method remains significant in the industry owing to its computational efficiency and feasibility, despite its failure in patch tests. Recently, NTS approach combined with the modified area regularization technique (NTS-mAR) is developed in frictionless contact scenarios. This approach is distinguished by the implementation of a partial two-pass algorithm, ensuring local-equivalence in the contact segment. We expand the scope of the NTS-mAR approach to encompass Coulomb friction between deformable bodies. The derivation of contact variables for frictional contact, in tandem with the NTS-mAR discretization, forms the crux of this extension. A methodology is introduced for managing the history variable in the context of partial master-to-slave contact elements. Numerical examples demonstrate the efficacy of the present frictional NTS-mAR approach in accurately predicting stick-slip behavior. In addition, they present a viable solution for scenarios involving large sliding and deformation.