Contact: Grégoire Allaire
CMAP, Ecole Polytechnique
http://www.cmap.polytechnique.fr/~allaire/
The Centre de Mathématiques Appliquées (CMAP) at Ecole Polytechnique is opening a one year post-doctoral position on the topic of topology optimization of architectured media with non-linear mechanical behavior, using machine learning techniques. This is a joint project in collaboration with Prof. Francisco Chinesta at PIMM, ENSAM. The candidates must hold a PhD in applied mathematics, computational mechanics or in a related field. The hired post-doctoral researcher will work in the team "Mechanics, Materials and Shape Optimization" at CMAP, under the joint supervision of Prof. Grégoire Allaire and Prof. Francisco Chinesta. The mathematical and numerical framework of the project is the homogenization method for topology optimization of mechanical structures. The main idea is to compute off-line homogenized properties for a wide range of periodicity cells and then to optimized online the homogenized model, before reconstructing the optimal architectured structure by a de-homogenization process. Because the mechanical model is non-linear (typically an elasto-plastic behavior), the tabulation of homogenized properties may be a formidable task, compared to the linear setting. Therefore, based on precise cell computations, machine learning algorithms will be used to learn the homogenized properties in terms of the cell parameters and loading conditions. The choice of the cell parametrization, as well as of the macroscopic objective function and constraints, is also an important issue. The goal is (i) to obtain optimal designs which could be presented to experimentalists in a view to build them, (ii) to evaluate the potential acceleration of topology optimization by using machine learning algorithms. The required skills are therefore a combination of mathematical, computational and mechanical ones, with a focus on optimization and machine learning. The hired post-doctoral researcher will participate to the ADAM project (Accelerated Design of Architectured Materials), a collaborative project between various research laboratoires in France, where interactions with other post-docs and researchers is encouraged. Of course, office space, computer access and financial support for travelling will be provided.
Candidates must apply through the CNRS hiring web site (requiring a complete CV with list of publications and a letter of motivation):
https://emploi.cnrs.fr/Offres/CDD/UMR7641-NASNAA-013/Default.aspx
The hiring process starts in January 2024 but the position is open until it is filled. This position is funded by CNRS (Centre National de la Recherche Scientifique) through the ADAM project (Accelerated Design of Architectured Materials).