Open Access

ARTICLE

# A 3D Frictionless Contact Domain Method for Large Deformation Problems

S. Hartmann1, R. Weyler2, J. Oliver1, J.C. Cante2, J.A. Hernández1

E.T.S. d’Enginyers de Camins, Canals i Ports, Technical University of Catalonia (UPC), Campus Nord UPC, Mòdul C-1, c/Jordi Girona 1-3, 08034 Barcelona, Spain
E.T.S. d’Enginyeries Industrial i Aeronàutica de Terrassa, Technical University of Catalonia(UPC), Campus Terrassa, c/Colom, 11, 08222 Terrassa, Spain

Computer Modeling in Engineering & Sciences 2010, 55(3), 211-270. https://doi.org/10.3970/cmes.2010.055.211

## Abstract

This work describes a three-dimensional contact domain method for large deformation frictionless contact problems. Theoretical basis and numerical aspects of this specific contact method are given in [Oliver, Hartmann, Cante, Weyler and Hernández (2009)] and [Hartmann, Oliver, Weyler, Cante and Hernández (2009)] for two-dimensional, large deformation frictional contact problems. In this method, in contrast to many other contact formulations, the necessary contact constraints are formulated on a so-called contact domain, which can be interpreted as a fictive intermediate region connecting the potential contact surfaces of the deformable bodies. This contact domain has the same dimension as the contacting bodies. It will be endowed with a displacement field, interpolated from the displacements at the contact surfaces and will be subdivided into a non-overlapping set of contact patches, where the contact constraints will be applied. For the enforcement of these contact constraints a stabilized Lagrange multiplier method is used, which allows the condensation of the introduced Lagrange multipliers, leading to a purely displacement driven problem.

## Keywords

Hartmann, S., Weyler, R., Oliver, J., Cante, J., Hernández, J. (2010). A 3D Frictionless Contact Domain Method for Large Deformation Problems. CMES-Computer Modeling in Engineering & Sciences, 55(3), 211–270.

View