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Course unit

Mechanics of materials

Last updated: 22/02/2024

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Course Director(s):

BRUCHON Julien

General Description:

The Mechanics of Materials unit is composed of 36 hours of courses, 3 hours of practical work and 3 hours for exams and involves 3 teachers: J. Bruchon, C. Desrayaud and H. Klöcker. Students will reinforce and develop their general knowledge from the 1st year course on Continuum Mechanics and will acquire the necessary notions for the understanding of the mechanical behaviour of materials, of essential importance to the engineer. In addition, with this unit being the introductory unit to the Mechanical Engineering major, knowledge acquired will serve as a foundation for the other units of the major course.

After a first three hours introduction course (general presentation and practical course in the mechanical testing room), the 36 teaching hours of the Mechanics of Materials unit will be organised as follows :

  1. Formalism of continuum mechanics and major deformations C. Desrayaud (10.5 h), C. Desrayaud (10,5h)
  2. Mechanical behaviour of materials H. Klöcker (15h)
  3. Continuum Thermodynamics J. Bruchon (10.5h)

The first course will establish the links with the notions of continuum mechanics studied in the 1st year and introduce the concepts (notions of configuration, objectivity) and the tools (measuring constraints and deformations) necessary to deal with major deformations. The second course will go further into the notion of the mechanical behaviour of materials. Only linear elastic behaviour was studied in the 1st year. Here the notions of plasticity and work or strain hardening are introduced, allowing the behavioural description of a large variety of materials. Finally the third course will use these notions in the formal context of continuum thermodynamics, automatically leading on to the different forms of thermodynamically admissible couplings between the different mechanical and physical values introduced.

These courses will be completed by a 3 hour exam (2 X 1.5h).

Key words:

MMC Hyperelasticity Thermodynamics

Number of teaching hours

42

Fields of study

Materials Science Mechanical Engineering

Teaching language

French

Intended learning outcomes

On completion of the unit, the student will be capable of: Classification level Priority
Identifying objective physical and mechanical values 2. Understand Essential
Identifying material behaviour from mechanical testing results 3. Apply Essential
Modelling and characterising material behaviour 5. Summarise Essential

Learning assessment methods

Percentage ratio of individual assessment Percentage ratio of group assessment
Written exam: 100 % Project submission: 0 %
Individual oral exam: 0 % Group presentation: 0 %
Individual presentation: 0 % Group practical exercise: 0 %
Individual practical exercise: 0 % Group report: 0 %
Individual report: 0 %
Other(s): 0 %

Programme and content

Type of teaching activity Content, sequencing and organisation
Course

Formalism of continuum mechanics in major deformations (10,5h)

Establish the links with the notions of continuum mechanics studied in the 1st year and introduce the concepts (notions of configuration, objectivity) and the tools (measuring constraints and deformations) necessary to deal with major deformations.

Course


Mechanical behaviour of materials (15h))

Further details of the mechanical behaviour of materials. Only linear elastic behaviour was studied in the 1st year. Here the notions of plasticity and work or strain hardening are introduced allowing the behavioural description of a large variety of materials.

Course

Continuum thermodynamics (10,5h)

Introduction to the formal framework of continuum thermodynamics, for the derivation of behavioural laws, automatically leading on to the different forms of thermodynamically admissible couplings between the different mechanical and physical values introduced.