Simulations of a dynamic rod-obstacle contact problem with the damped normal compliance contact condition
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Meir Shillor [1] ; Giselle Saylor [1]
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[1] Oakland University
Oakland University
City of Rochester, Estados Unidos
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- Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 82, Nº. 2, 2025, págs. 205-218
- Idioma: inglés
- DOI: 10.1007/s40324-025-00376-w
- Enlaces
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Resumen
This work continues our study of a dynamic model for the process of contact between a linear elastic rod and a reactive obstacle, using the new damped normal compliance (DNC) contact condition, M. Shillor and I. Pahuja (2024) and G. Sosa Jones and M. Shillor (2024). The condition explicitly takes into account the energy dissipation during the process. Here, we study numerically the various cases and types of behavior that such a condition leads to. It is found that once in contact, when the damping is relatively large, the rod never leaves the obstacle. On the other hand, when the damping is below a critical value, the rod leaves the obstacle and then returns because of the applied force. Moreover, when the stiffness is high and the damping very low the condition reduces to the usual ‘normal compliance’ condition. When the stiffness is very high and the damping very low, the Signorini nonpenetration condition is recovered, since the penetration into the obstacle is very small. When the stiffness is small and the damping is relatively large, the obstacle behaves as a soft tissue. The simulations of these cases provide a better understanding and deeper insight into the modelling of contact.
