The Inequality Level Set, a novel approach to handle variational inequalities : application to contact
Event details
| Date | 28.04.2016 |
| Hour | 12:15 › 13:15 |
| Speaker | Prof. Dr Nicolas Moës, Ecole Centrale de Nantes, France & researcher at GeM (Research Institute for Civil and Mechanical Engineering) |
| Location | |
| Category | Conferences - Seminars |
The key idea of the ILS for variational inequalities is to try to locate with a level set the domain over which the inequality reaches an equality. For contact problem, it means that the main unknownis the contact zone. This is an important departure from classical contact algorithm since at any iteration an explicit contact contour is known as a level set. A true Newton-Raphson may thus be built with respect to the contact location. The derivative of the energy with respect to the contact zone location has the meaning of a configurational force. For frictionless contact it must be driven to zero to reach the exact contact zone, whereas in case of adhesion the force must correspond to the adhesion level.
The two main advantages of the ILS are : possibility to enrich with the XFEM the contact zone boundary to capture non-smoothness of the displacement field (higher order order of convergence contact is thus at hand) and robustness in the iterative process since it is based on a full Newton-Raphson.
Examples of simulation of contact of membranes or deformable bodies on a rigid obstacle will show the capabilities of the ILS.
Nicolas Moës, Nicolas Chevaugeon and Matthieu Graveleau, Ecole Centrale de Nantes, UMR CNRS, Nantes, France
References
Bonfils, N., Chevaugeon, N., & Moës, N. (2012). Treating volumetric inequality constraint in a continuum media with a coupled X-FEM/level-set strategy. Computer Methods in Applied Mechanics and Engineering, 205-208, 16–28. doi:10.1016/j.cma.2011.02.012
Graveleau, M., Chevaugeon, N., & Moës, N. (2015). The Inequality level-set approach to handle
contact: membrane case. Advanced Modeling and Simulation in Engineering Sciences, 2:16.
Bio : Nicolas Moës is full Professor at the Ecole Centrale de Nantes (France) since 2001 and researcher at the GeM (research institute for civil and mechanical engineering).
He recieved his phd in 1996 from Ecole Normale Supérieure de Cachan after which he did spend 5 years in the USA under the supervizion of Professors Oden and Belytschko. He is one of the co-inventor of the eXtended Finite Element Method (X-FEM) for fracture mechanics and for other applications like material interfaces.
His current areas of interest are damage to fracture transition and contact algorithms. He received the young investigator award from the IACM (International Association for computational Mechanics) in 2006 and was declared IACM fellow in 2008. In 2014, he received the silver medal from CNRS.
The two main advantages of the ILS are : possibility to enrich with the XFEM the contact zone boundary to capture non-smoothness of the displacement field (higher order order of convergence contact is thus at hand) and robustness in the iterative process since it is based on a full Newton-Raphson.
Examples of simulation of contact of membranes or deformable bodies on a rigid obstacle will show the capabilities of the ILS.
Nicolas Moës, Nicolas Chevaugeon and Matthieu Graveleau, Ecole Centrale de Nantes, UMR CNRS, Nantes, France
References
Bonfils, N., Chevaugeon, N., & Moës, N. (2012). Treating volumetric inequality constraint in a continuum media with a coupled X-FEM/level-set strategy. Computer Methods in Applied Mechanics and Engineering, 205-208, 16–28. doi:10.1016/j.cma.2011.02.012
Graveleau, M., Chevaugeon, N., & Moës, N. (2015). The Inequality level-set approach to handle
contact: membrane case. Advanced Modeling and Simulation in Engineering Sciences, 2:16.
Bio : Nicolas Moës is full Professor at the Ecole Centrale de Nantes (France) since 2001 and researcher at the GeM (research institute for civil and mechanical engineering).
He recieved his phd in 1996 from Ecole Normale Supérieure de Cachan after which he did spend 5 years in the USA under the supervizion of Professors Oden and Belytschko. He is one of the co-inventor of the eXtended Finite Element Method (X-FEM) for fracture mechanics and for other applications like material interfaces.
His current areas of interest are damage to fracture transition and contact algorithms. He received the young investigator award from the IACM (International Association for computational Mechanics) in 2006 and was declared IACM fellow in 2008. In 2014, he received the silver medal from CNRS.
Practical information
- General public
- Free
Organizer
- Prof. Dr Brice Lecampion & Prof. Dr Katrin Beyer
Contact
- Prof. Dr Jean-François Molinari