GCIV2171-1 : Non linear finite elements

Study Programmes 2016-2017

GCIV2171-1

Non linear finite elements

Duration :

20h Th, 20h Pr, 15h Proj.

Number of credits :

Master in civil engineering (120 ECTS)		3

Lecturer :

Frédéric Collin, Vincent De Ville De Goyet

Coordinator :

N...

Language(s) of instruction :

English language

Organisation and examination :

Teaching in the first semester, review in January

Units courses prerequisite and corequisite :

Prerequisite or corequisite units are presented within each program

Learning unit contents :

This course intend to give theoretical basis used in non linear finite elements codes for civil engineering : geometrical non linearities, application to beams structures, non linear constitutive models for building materials (steel, concrete...) and for geomaterials (soils, rocks, concrete...). Practical works are dedicated to numerical code use.

Learning outcomes of the learning unit :

At the end of the course, students will be able to:

know the origins of non linearities in civil engineering computations and understand how to implement them in a finite element code.
perform a non linear modelling of an application (structures or geotechnics) and understand the difficulties of such computations.

Prerequisite knowledge and skills :

The mathematical developments related to the numerical methods proposed in this course will rely on courses of mathematical analysis and numerical analysis.
The understanding of the physical phenomena treated as examples or applications will require basic knowledge in fluid, solid and structure mechanics.<br /><br /> Mathematical analysis and numerical analysis

Numerical methods for linear problems
Solid mechanics
Structural mechanics
Geotechnics

Planned learning activities and teaching methods :

Use of finite element codes for structures and for geotechnics, report elaboration for each practical case.
The course is composed of "ex-cathedra" lectures and exercises.
Exercices allow the students using finite element codes for structures or for geotechnics. A report will be written by the students for the practical case.

Mode of delivery (face-to-face ; distance-learning) :

The lectures are delivered face-to-face. The attendance to all lectures is mandatory. For the practical works, a part of the work must be achieved during dedicated sessions (see the planning of the course). During these sessions, the students are invited to interact with the teacher to solve their problems. A part of the work must also be achieved by the students at home.