CESS Seminar : Architectured and Random Microstructures : Optimization with level-set functions
Abstract
Micro- and Meso-structures of both ordered and disordered media are controlling physical functions and properties materials and have received a lot of attention in the recent years triggered by the advancement in imaging and fabrication technologies.
In this talk, questions of optimal microstructures will be addressed using a level-set representation of the media and optimization techniques.
We design micro–architectured thin elastic panels or meso-architectured thick shells to control their macroscopic behavior, accounting for particular stiffness and the extension–bending coupling effects. The topology optimization method combines the Hadamard shape derivative and a level set method in the diffuse interface context to systematically capture the optimal micro-architecture of the unit cell or the meso-architecture of the structure.
We generate simple but flexible surrogate micro-structure models for two-phase materials combining the level-sets and Gaussian random fields with covariance of Matérn class. Complex random heterogeneous two-phase media can be represented by optimizing a few key design parameters estimated from a small number of real material images using Bayesian inversion.
The two methods can be combined to design the micro-architectured materials under load or material uncertainty.
Short bio
Andrei Constantinescu, holds a Directeur de Recherche and a Professor position with the CNRS and the Ecole Polytechnique, respectively. He currently heads the Laboratoire de Mécanique des Solides. Andrei received a Mathematics-Mechanics degree from the University of Bucharest, Romania (1988). He received a M.S. (1991) and a Ph.D. (1994) from Ecole Polytechnique, Palaiseau, France and his Habilitation (2005) from Université Pierre et Marie Curie, Paris, France. He had different visiting positions with Cornell University (1994), Oxford University (2001), Tokyo Institute of Technology (2008), ETH-Zürich (2015-2016) and was on an industrial leave with PSA Peugeot-Citroen in 2002. He received the Doisteau-Emile Blutet Prize of French Academy of Sciences. He is currently involved in several academic and industrial projects on the additive manufacturing of polymers and metals.
Sandwiches are offered at the end of the seminar.
Micro- and Meso-structures of both ordered and disordered media are controlling physical functions and properties materials and have received a lot of attention in the recent years triggered by the advancement in imaging and fabrication technologies.
In this talk, questions of optimal microstructures will be addressed using a level-set representation of the media and optimization techniques.
We design micro–architectured thin elastic panels or meso-architectured thick shells to control their macroscopic behavior, accounting for particular stiffness and the extension–bending coupling effects. The topology optimization method combines the Hadamard shape derivative and a level set method in the diffuse interface context to systematically capture the optimal micro-architecture of the unit cell or the meso-architecture of the structure.
We generate simple but flexible surrogate micro-structure models for two-phase materials combining the level-sets and Gaussian random fields with covariance of Matérn class. Complex random heterogeneous two-phase media can be represented by optimizing a few key design parameters estimated from a small number of real material images using Bayesian inversion.
The two methods can be combined to design the micro-architectured materials under load or material uncertainty.
Short bio
Andrei Constantinescu, holds a Directeur de Recherche and a Professor position with the CNRS and the Ecole Polytechnique, respectively. He currently heads the Laboratoire de Mécanique des Solides. Andrei received a Mathematics-Mechanics degree from the University of Bucharest, Romania (1988). He received a M.S. (1991) and a Ph.D. (1994) from Ecole Polytechnique, Palaiseau, France and his Habilitation (2005) from Université Pierre et Marie Curie, Paris, France. He had different visiting positions with Cornell University (1994), Oxford University (2001), Tokyo Institute of Technology (2008), ETH-Zürich (2015-2016) and was on an industrial leave with PSA Peugeot-Citroen in 2002. He received the Doisteau-Emile Blutet Prize of French Academy of Sciences. He is currently involved in several academic and industrial projects on the additive manufacturing of polymers and metals.
Sandwiches are offered at the end of the seminar.
Practical information
- Informed public
- Free
Organizer
- Prof. Olga Fink (IMOS), Prof. Alexandre Alahi (VITA), Prof. Dusan Licina (HOBEL), Prof. Alain Nussbaumer (RESSLab)
Contact
- Prof. Olga Fink