In a scientific, technological, and industrial environment in which increasingly innovative solutions are constantly pursued, it is vital to describe the mechanical response of materials and structures in ever greater detail. This requires models that capture multiple length scales, which are coupled to each other. The fast developing research field of multiscale modeling of materials and structures is inherently multidisciplinary: physicists contribute their knowledge of the behaviour of condensed matter at small scales, solid mechanicians their expertise of the larger scales, and applied mathematicians their techniques for bridging scales. This track is dedicated to ‘Multiphysics and Multiscale Modeling of Materials and Structures’ (M4S) and is a master-level program at the interface between these three fields. It provides advanced training in the fundamentals of the mechanics of materials and structures, highlights the multiscale and multiphysics dimensions of the state-of-the-art research in solid mechanics, and emphasises a mathematical approach to the field.
Language of instruction: English
Oriented: Research and Industry
Duration: 1 year
Courses Location : École Polytechnique, ENSTA-Paris
The M4S track trains students to become experts in the development and implementation of models that efficiently predict a wide range of physical phenomena observed in structures and materials. Pedagogically speaking, we aim at providing our students with the multidisciplinary scientific culture that would enable them to interact with physicists, mechanicians, applied mathematicians, and engineers. Our scientific goal is to prepare students for the fundamental research in solid mechanics that is likely to develop in the decades to come, and introduce them to its present and potential applications in state-of-the-art technologies. Finally, students will acquire the skills to work and communicate with ease in English-speaking environments.
Each of the courses below amounts to 3 ECTS
- Fracture mechanics: classical theory and variational approach
- Fracture mechanics: numerical and experimental projects
- Materials modeling: from atomistic to macroscopic
- Smart materials and structures
- Modeling of heterogeneous materials and composites
- Numerical methods in nonlinear mechanics
- Multiphysics couplings: from thin-film growth to electromagnetic continua
- Mechanics of inelastic materials and structures
- Experimental methods in solid mechanics
- Metamaterials, with applications in elastodynamics, acoustics and electromagnetism
- Mechanics of slender structures
- Solids Mechanics Laboratory (LMS) – UMR7649
- Institute of Mechanical Sciences and Industrial Applications (IMSIA) – UMR9219
- Condensed Matter Physics Laboratory (PMC) – UMR7643
The M4S track aims to train students for research in mechanics, and to a lesser degree for a career in industry. At the end of the master program, our students are expected to pursue a Ph.D., or alternatively to launch a career in research-and-development, be it in industry or in one of the several public research institutions of France.
- Completion of the 1st year of a master program (Master 1)
- Application files are reviewed by an admission committee, in particular to ensure that the prerequisites are met.
- Admission is not automatic for students holding an M1 diploma.
Deadlines for the Master application sessions are as follows:
– First session: February 28, 2020
– Second session: April 30, 2020
– Third Session (optional): June 30, 2020 (only if there are availabilities remaining after the 2 first sessions)
Applications not finalized for a session will automatically be carried over to the next session.
You shall receive an answer 2 months after the application deadline of the session.
National Master: Official tuition fees of the Ministry of Higher Education, Research and innovation (2019-2020, EU students: 243 euros / Non-EU students: 3770 euros)