Become an expert in numerical simulation, finite elements, and material processes
The Master of Science in Engineering in Numerical Solid Mechanics (MNS) leads to the award of the National Master’s Degree (field Sciences, Technologies, Health), specialization Mechanics.
This M2 program trains scientific executives capable of addressing complex problems in numerical mechanics, combining numerical methods, continuum mechanics, and material processing / forming techniques.
The Master of Science in Engineering is co-accredited by Mines Saint-Étienne, École Centrale de Lyon, and Université Claude Bernard Lyon 1 (Université de Lyon)
Why choose the MNS Master of Science in Engineering?
The Master of Science in Engineering in Numerical Solid Mechanics (MNS) has a simple objective: to enable you to model, simulate, and analyze mechanical phenomena and real processes, with the level of rigor expected in R&D and doctoral studies.
- A solid foundation in finite elements
Master simulation in mechanics: formulation, implementation, critical analysis of results, limitations, and validation. - Expertise in material modeling
Learn to describe material behavior (including non-linear) to keep numerical analysis connected to reality. - A process & multiphysics approach
Address situations where multiple phenomena interact (mechanics, pressure/flow, couplings…), typical in industry. - Current skills: digital twins & model reduction
Explore “data + simulation” approaches (big data, model reduction) useful for accelerating design and optimization. - A long, structured internship, research and industry-oriented
4 to 6 months to build solid experience, with report and defense.
A concrete application example: composites and resin infusion
The methods taught allow tackling high-level industrial cases, for example, the finite element simulation of a structural composite manufacturing process by resin infusion.
Quantities such as fiber volume fraction or resin pressure can be monitored, and the advancement of the resin front can be captured with dedicated approaches (e.g., level-set). The effects of compaction and swelling of fibrous preforms can be described via a Lagrangian approach and a non-linear constitutive law.
Result: you learn to deal with realistic problems, where value comes as much from physics as from numerical methods.
Skills Developed
Upon completion of the Master of Science in Engineering, graduates possess a set of sought-after skills in R&D.
Technical Skills
- Finite element method in mechanics
- Material mechanics modeling
- Advanced numerical methods
- Multiphysics couplings applied to processes
- Basics of high-performance computing (HPC) for simulation
Scientific Skills
- Ability to formulate a model: hypotheses, boundary conditions, choice of formulation
- Critical analysis and validation of numerical results
- Model reduction and basics of digital twin (depending on elective units)
Professional Skills
- Scientific and technical communication (report, defense)
- Professional communication English
- Understanding the business environment (socio-economics)
- Research methodology (bibliography, internship preparation)
The Vision of the Master of Science in Engineering Program Director
Train specialists capable of connecting physics to computation
“Numerical mechanics is not just about tools: it’s a way of thinking. In the Master of Science in Engineering in Numerical Solid Mechanics (MNS), we train students capable of building a solid model, choosing the right hypotheses, and rigorously validating results.
Our ambition is to develop true scientific autonomy, at the interface of finite elements, material modeling, and forming processes. Thanks to demanding instruction and a long internship, our graduates are ready to contribute immediately to R&D projects… or to pursue doctoral studies at the highest level.”
Julien Bruchon, Mines Saint-Étienne
The Master of Science in Engineering’s Promise
Train engineers and scientists capable of moving from model to decision.
The objective is not just to “run calculations,” but to know how to:
- formulate the physical and numerical problem,
- choose the right hypotheses,
- build and validate a model,
- interpret the results,
- and propose improvements (method, model, data, high-performance computing…).
❗️ Applications are open from January to April.
Contacts
Master of Science in Engineering Program Director
Administrative contact
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