ME-484 / 3 crédits

Enseignant: Terrier Alexandre

Langue: Anglais

## Summary

Students understand and apply numerical methods (FEM) to answer a research question in biomechanics. They know how to develop, verify and validate multi-physics and multi-scale numerical models. They can analyse and comment results in an oral presentation and a written report.

## Keywords

Biomechanics, numerical methods, multi-physics, coupling

## Important concepts to start the course

• Partial Differential Equations
• Linear algebra
• General Physics (solid, fluid, heat)
• Numerical analysis

## Learning Outcomes

By the end of the course, the student must be able to:

• Compute the kinematics and the forces in articulations, B3
• Compute shear stresses in blood in particular flow conditions, B4
• Compare the range of validity of different constitutive laws, B7
• Implement a constitutive law in a simulation software, B8
• Describe the feedback loop that, starting from a mechanical signal translated into a chemical signal, allows for the adaptation of the mechanical properties of tissues, B9
• Compute the stresses and strains at the interface of an implant and in the surrounding tissues, B10
• Compute the kinematics and forces in an implant, B11

## Transversal skills

• Set objectives and design an action plan to reach those objectives.
• Identify the different roles that are involved in well-functioning teams and assume different roles, including leadership roles.
• Continue to work through difficulties or initial failure to find optimal solutions.
• Take feedback (critique) and respond in an appropriate manner.
• Access and evaluate appropriate sources of information.
• Write a scientific or technical report.
• Make an oral presentation.

## Teaching methods

The course is divided into ex cathedra sessions, with interactive examples. Exercises are organised to applied concepts presented in the course. A mini-project is carried out in groups. Examples, exercises and mini-projects are done with Comsol.

## Expected student activities

• Attend cours and do interactive exemples
• Do the exercices
• Do a project in a group

## Assessment methods

• Midterm test or summary report (1/4)
• Oral presentation of project (1/4)
• Written rapport of project (1/4)
• Writtn exam (1/4)

## Supervision

 Office hours Yes Assistants Yes Forum Yes

## Bibliography

Computational Modeling in Biomechanics, 2010

http://library.epfl.ch/ebooks/?pg=search&isbn=978-90-481-3574-5

## Dans les plans d'études

• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Numerical methods in biomechanics
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 1 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Numerical methods in biomechanics
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 1 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Numerical methods in biomechanics
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 1 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Numerical methods in biomechanics
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 1 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Numerical methods in biomechanics
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 1 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Numerical methods in biomechanics
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 1 Heure(s) hebdo x 14 semaines

## Semaine de référence

 Lu Ma Me Je Ve 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22