A comparison of computational methods for large deformation contact problems of flexible bodies. (English) Zbl 1105.74042
Summary: We compare two methods for large deformation contact problems. On the one hand the commonly applied node-to-segment (NTS) method is investigated, on the other hand the newly emerging mortar method for contact problems is considered. Both approaches rely on a nonlinear finite element discretization of flexible bodies. In addition to static contact problems, dynamic problems are considered as well. For both NTS and mortar methods the contact constraints are enforced by means of Lagrange multipliers. Several numerical examples are presented to compare the two alternative approaches.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74M15 | Contact in solid mechanics |
References:
| [1] | Computational Contact Mechanics (John Wiley & Sons Ltd, Chichester, 2002). |
| [2] | Computational Contact and Impact Mechanics (Springer Verlag, Berlin, 2002). |
| [3] | McDevitt, Int. J. Numer. Methods Eng. 48 pp 1525– (2000) |
| [4] | Puso, Comput. Methods Appl. Mech. Eng. 193 pp 601– (2004) |
| [5] | Wohlmuth, Comput. Methods Appl. Mech. Eng. 194 pp 3147– (2005) |
| [6] | , and , A new nonconforming approch to domain decomposition: The mortar element method, in: Nonlinear Partial Differential Equations and Their Applications (Pitman, 1994), pp. 13–51. |
| [7] | Discretization Methods and Iterative Solvers based on Domain Decomposition (Springer Verlag, Berlin, 2000). |
| [8] | Betsch, Int. J. Numer. Methods Eng. 53 pp 2271– (2002) |
| [9] | Gonzalez, J. Nonlinear Sci. 6 pp 449– (1996) |
| [10] | NIKE2D, Technical Report UCRL-52678, Lawrence Livermore Laboratory, Livermore, CA (1979). |
| [11] | Simo, Comput. Methods Appl. Mech. Eng. 50 pp 163– (1985) |
| [12] | Papadopoulos, Comput. Methods Appl. Mech. Eng. 94 pp 373– (1992) |
| [13] | Yang, Int. J. Numer. Methods Eng. 62 pp 1183– (2005) |
| [14] | Taylor, Int. J. Numer. Methods Eng. 22 pp 39– (1986) |
| [15] | Zienkiewicz, Int. J. Numer. Methods Eng. 23 pp 1873– (1986) |
| [16] | Zienkiewicz, Comput. Methods Appl. Mech. Eng. 149 pp 223– (1997) |
| [17] | Simo, Z. Angew. Math. Phys. 43 (1992) |
| [18] | Laursen, Int. J. Numer. Methods Eng. 40 pp 863– (1997) |
| [19] | Puso, Int. J. Numer. Methods Eng. 59 pp 315– (2004) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
