Abstract
In this paper, we deal with numerical methods and implementation of contact problems of elasto-plastic bodies. In particular, we consider frictionless contact boundary condition among the bodies and one-step elasto-plastic constitutive model. The problem is formulated in displacement and can be classified as an optimization problem with simple equality and inequality constraints. We use the semi-smooth Newton method to approximate a non-quadratic functional by a quadratic one. The corresponding problem of quadratic programming is solved by the Total-FETI domain decomposition method in combination with SMALSE method. The algorithm enables a parallel implementation and has parallel scalability. The elasto-plastic problem with contact was implemented into the MatSol library. We illustrate the performance of our algorithm on a 3D benchmark problem.
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Acknowledgements
This work was supported by the European Regional Development Fund in the IT4Innovations Centre of Excellence project (CZ.1.05/1.1.00/02.0070) and by the project SPOMECH—Creating a multidisciplinary R&D team for reliable solution of mechanical problems, reg. no. CZ.1.07/2.3.00/20.0070 within Operational Programme “Education for competitiveness” funded by Structural Funds of the European Union and state budget of the Czech Republic.
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Cermak, M., Sysala, S. (2014). Total-FETI Method for Solving Contact Elasto-Plastic Problems. In: Erhel, J., Gander, M., Halpern, L., Pichot, G., Sassi, T., Widlund, O. (eds) Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-319-05789-7_93
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DOI: https://doi.org/10.1007/978-3-319-05789-7_93
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