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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.


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.


Cite This Article

APA Style
Hartmann, S., Weyler, R., Oliver, J., Cante, J., Hernández, J. (2010). A 3D frictionless contact domain method for large deformation problems. Computer Modeling in Engineering & Sciences, 55(3), 211-270.
Vancouver Style
Hartmann S, Weyler R, Oliver J, Cante J, Hernández J. A 3D frictionless contact domain method for large deformation problems. Comput Model Eng Sci. 2010;55(3):211-270
IEEE Style
S. Hartmann, R. Weyler, J. Oliver, J. Cante, and J. Hernández "A 3D Frictionless Contact Domain Method for Large Deformation Problems," Comput. Model. Eng. Sci., vol. 55, no. 3, pp. 211-270. 2010.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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