Abstract
The present work deals with the development of an energy-momentum conserving method to unilateral contact constraints and is a direct continuation of a previous work (Hesch and Betsch in Comput Mech 2011, doi:10.1007/s00466-011-0597-2) dealing with the NTS method. In this work, we introduce the mortar method and a newly developed segmentation process for the consistent integration of the contact interface. For the application of the energy-momentum approach to mortar constraints, we extend an approach based on a mixed formulation to the segment definition of the mortar constraints. The enhanced numerical stability of the newly proposed discretization method will be shown in several examples.
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Hesch, C., Betsch, P. Transient three-dimensional contact problems: mortar method. Mixed methods and conserving integration. Comput Mech 48, 461–475 (2011). https://doi.org/10.1007/s00466-011-0583-8
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DOI: https://doi.org/10.1007/s00466-011-0583-8