Programme

These modules constitute the essential scientific foundation for addressing complex problems in mechanical simulation.

Finite Element Method in Mechanics — 6 ECTS (36h)

• Objective
  To formulate a mechanical problem, construct a consistent discretization, and interpret and critically evaluate results.
• Typical topics (indicative)
  Weak formulation, discretization, boundary conditions, convergence, post-processing, good validation practices.

Modeling in Materials Mechanics — 6 ECTS (36h)

• Objective
  To link material physics to numerically exploitable constitutive laws.
• Typical topics (indicative)
  Linear / non-linear behaviors, elasto-(visco)plastic laws, calibration/identification, critical reading of hypotheses.

Note: “typical topics” are indicative. For the official version (objectives, detailed plan, assessment methods), please refer to the syllabus (link at the bottom of the page).

The specialization modules deepen numerical methods and current simulation approaches (acceleration, robustness, couplings, data exploitation).

Multi-physics Couplings for Processes — 6 ECTS (36h)

• Objective
  To address processes where several phenomena interact (mechanics + transfers + material/process interactions).

Big data, Model Reduction, and Digital Twins — 6 ECTS (36h)

• Objective
• To learn how to exploit data and build reduced models to accelerate computation, explore scenarios, and feed “digital twin” approaches.

Advanced Numerical Methods — 6 ECTS (36h)

• Objective
  To consolidate expertise on innovative methods adapted to complex problems (non-linearities, multi-scales, robustness/fidelity compromise).
• Examples of approaches cited
  X-FEM, Proper Generalized Decomposition, stabilized finite elements (non-exhaustive list).

These courses are common and concentrated over a dedicated period (first two weeks of March).

Numerical Methods for the Simulation of Mechanical Models in Dynamics — 3 ECTS (18h)

• Instructors
  F. Thouverez + L. Blanc (ECL Écully)
• Objective
  To address problems where the temporal/dynamic dimension is central (mechanical models in dynamics, adapted numerical strategies).

High-Performance Computing — 3 ECTS (18h)

• Instructors
  N. Moulin + J. Bruchon (EMSE)
• Objective
  To discover and practice the useful basics for “at-scale” scientific computing (performance, organization of calculations, good practices).

These modules strengthen professionalization and communication skills, essential in both R&D and doctoral studies.

Internship Preparation – Bibliography — 3 ECTS

English for Professional Communication – Level 2 — 3 ECTS

Socio-economics of Business — 3 ECTS

The Internship Experience: A True Applied Research Project

The final internship is designed as a total immersion in a real problem of simulation, modeling, or numerical method development. Whether you undertake it in an industrial setting (R&D in large groups, innovative SMEs, design offices) or an academic setting (laboratories, research projects), you will act as a true expert.

Your Missions and Expected Rigor

• Problem Definition
  Analyze, structure, and delimit a complex technical subject.
• Methodological Rigor
  Conduct a thorough bibliographic study and establish a robust validation approach for your models.
• High-Level Presentation
  Showcase your work through the writing of a scientific thesis and an argued oral defense before a jury of experts.

The Central Objective

To master the entire scientific chain — from the theoretical definition of the problem to demonstrating the relevance of the results — with the level of excellence expected of a future high-flying doctor or research engineer.

Associated Credits

• Internship Work (minimum 4 months) — 11 ECTS
• Written Report: — 6 ECTS
• Oral Defense: — 4 ECTS