Thermics and thermo-mechanics : modelling and solutions to thermal and thermo-mechanical problems by finite elements
Structures: introduction of degenerate structural elements such as 2D plate, bending beam, and possibly plate and shell,
Biomechanical modelling : modelling of simple biomechanical problems of hypo - or hyper- elastic behaviour and solutions to contact problems

Thermics and thermo-mechanics Structures Biomechanics Finite Element method

Materials Science Mathematics Mechanical Engineering

English

On completion of the unit, the student will be capable of:	Classification level	Priority
Understanding the principles of the finite element method on the basis of weak formulation and the principle of virtual work.	2. Understand	Essential
Understanding numerical modelling in thermics and thermo-mechanics	3. Apply	Essential
Understanding the mechanical behaviour of degenerated elements such as 2D plate, bending beam, and possibly plate and shell.	3. Apply	Essential
Understanding numerical modelling for biomechanical problems with hypo- or hyper-elastic behaviour and contacts	3. Apply	Essential

Percentage ratio of individual assessment			Percentage ratio of group assessment
Written exam:	100	%	Project submission:	%
Individual oral exam:		%	Group presentation:	%
Individual presentation:		%	Group practical exercise:	%
Individual practical exercise:		%	Group report:	%
Individual report:		%
Other(s): %

Type of teaching activity	Content, sequencing and organisation
(inter)active Amphitheatre	Thermics and thermo-mechanics Simple thermic and thermo-mechanical aspects will be covered, combined with problems solved by the finite element method. The finite element method will be presented in general, followed by details of the formalism of materials, thermal and mechanical behaviour. Some examples of coupling will be formalised The course will consist of 50% of supervised exercises.
(inter)active Amphitheatre	Structures, 9h The degenerated elements of the 2D plate type, bending beam, and possibly plate and shell, are presented with a theoretical basic notion of the beam and the bending plate. Formulation of finite elements based on the principle of virtual work. A case study is introduced for each type of element to further understanding.
(inter)active Amphitheatre	This course will present the formalisation of living materials behaviour and their implementation by the finite element method. Focus on biological membranes, 9h Major deformations, hyper-elasticity, Neo-Hookeen model, variational formulation for a membrane. Non-linear solutions by finite elements, Newton-Raphson, writing tangent matrices, applications to membrane elements. Case study of the geometry of an aneurysm.

Type of teaching activity

Content, sequencing and organisation

(inter)active Amphitheatre

Thermics and thermo-mechanics

Simple thermic and thermo-mechanical aspects will be covered, combined with problems solved by the finite element method.

The finite element method will be presented in general, followed by details of the formalism of materials, thermal and mechanical behaviour.

Some examples of coupling will be formalised

The course will consist of 50% of supervised exercises.

(inter)active Amphitheatre

Structures, 9h

The degenerated elements of the 2D plate type, bending beam, and possibly plate and shell, are presented with a theoretical basic notion of the beam and the bending plate.

A case study is introduced for each type of element to further understanding.

(inter)active Amphitheatre

This course will present the formalisation of living materials behaviour and their implementation by the finite element method.

Focus on biological membranes, 9h

Major deformations, hyper-elasticity, Neo-Hookeen model, variational formulation for a membrane.
Non-linear solutions by finite elements, Newton-Raphson, writing tangent matrices, applications to membrane elements.
Case study of the geometry of an aneurysm.

Modelling by finite elements