An Isogeometric-Based Study of Mortar Contact Algorithm for Frictionless Sliding

Abstract

Apart from the material, geometrical, and boundary non-linearities, the enforcement of the contact constraint in an accurate manner is considered to be a major issue for the numerical simulation of the contact problems. So far, due to the default features of NURBS-based isogeometric analysis (IGA), e.g. ability to represent the exact form of a geometry even with a very coarse mesh, it has been widely utilized for the study of contact problems. For the application of IGA to the contact problem, the mortar contact algorithm has been preferably employed in comparison to the other contact algorithms. As of now, significant efforts have been made and is still continuing to effectively simulate the different class of contact problems varying from small to large deformation through the application of the IGA-based approach. In this contribution, the mortar-based isogeometric contact algorithm is utilized for the numerical simulation of a large deformation frictionless contact problem. For the purpose of validation and to ensure the convergence of presented simulation, second and fourth order of the NURBS basis functions are used for modelling of the considered problem.