On the discretization of contact problems in elastodynamics. (English) Zbl 1194.74417
Wriggers, Peter (ed.) et al., Analysis and simulation of contact problems. Papers based on the presentation at the 4th contact mechanics international symposium (CMIS 2005), Loccum, Germany, July 4–6, 2005. Berlin: Springer (ISBN 3-540-31760-0/hbk). Lecture Notes in Applied and Computational Mechanics 27, 31-38 (2006).
Summary: In this work, we will presente a comparison of two formulation for the discretization of elastodynamic contact problems. The first approach consists on a midpoint scheme and a contact condition expressed in terms of velocity. This approach gives an energy conserving scheme. The second one we propose is a new distribution of the solid mass. The problem expressed with the new mass matrix is well posed, energy conserving and has a lipschitz solution. Finally, some numerical results are presented.
For the entire collection see [Zbl 1089.74008].
For the entire collection see [Zbl 1089.74008].
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74M15 | Contact in solid mechanics |
| 74H15 | Numerical approximation of solutions of dynamical problems in solid mechanics |
