A dual pass mortar approach for unbiased constraints and self-contact
| Autor: | Jerome Solberg, Michael A. Puso |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Karush–Kuhn–Tucker conditions
Computer science Mechanical Engineering Computational Mechanics General Physics and Astronomy Estimator 010103 numerical & computational mathematics Kinematics 01 natural sciences Computer Science Applications 010101 applied mathematics Nonlinear system Mechanics of Materials Control theory Norm (mathematics) 0101 mathematics Mortar |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 367:113092 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2020.113092 |
| Popis: | A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. |
| Databáze: | OpenAIRE |
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