Mixed interpretation and extensions of the equivalent mass matrix approach for elastodynamics with contact. (English) Zbl 1231.74148
Summary: The present paper highlights the idea that the mass redistribution technique introduced by H. B. Khenous and co-workers [C. R., Math., Acad. Sci. Paris 342, No. 10, 791–796 (2006; Zbl 1090.74061); Lecture Notes in Applied and Computational Mechanics 27, 31–38 (2006; Zbl 1194.74417)], for elastodynamics with impact, can be reinterpreted as a mixed formulation in displacements and velocities in which a special compatibility condition is enforced. Such a formulation opens the route to various extensions and to variational integrators for impact problems, potentially with variational time adaption. Those ideas are exemplified in the design of such integrators and various mass redistribution schemes.
MSC:
| 74H15 | Numerical approximation of solutions of dynamical problems in solid mechanics |
| 74S20 | Finite difference methods applied to problems in solid mechanics |
| 74M20 | Impact in solid mechanics |
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