Abstract
The present work deals with a new formulation for transient large deformation contact problems. It is well known, that one-step implicit time integration schemes for highly non-linear systems fail to conserve the total energy of the system. To deal with this drawback, a mixed method is newly proposed in conjunction with the concept of a discrete gradient. In particular, we reformulate the well known and widely-used node-to-segment methods and establish an energy-momentum scheme. The advocated approach ensures robustness and enhanced numerical stability, demonstrated in several three-dimensional applications of the proposed algorithm.
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Hesch, C., Betsch, P. Transient 3d contact problems—NTS method: mixed methods and conserving integration. Comput Mech 48, 437–449 (2011). https://doi.org/10.1007/s00466-011-0597-2
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DOI: https://doi.org/10.1007/s00466-011-0597-2