Continuum mechanics - KAGG5M19

  • Number of hours

    • Lectures 24.0
    • Projects -
    • Tutorials 18.0
    • Internship -
    • Laboratory works -
    • Written tests 2.0

    ECTS

    ECTS 0.25

Goal(s)

Understand the general notions of continuum mechanics and the applications made by a geotechnical engineer.

  • to be able to understand and handle elements of simple tensorial calculus
  • describe mathematically the kinematics and deformations of a continuous medium
  • calculate deformations under the assumption of small disturbances.
  • calculate stress by hand or using the Mohr circle
  • identify particular states of stress or strain
  • manipulate the concepts of elasticity and know the most classical elastic limit criteria
  • know the principles of digital techniques of mechanical problem solving

Content(s)

Part 1: Introduction to continuum mechanics, mathematical basics
Part 2: Kinematics of a continuous medium, lagrangian et eulerian descriptions
Part 3: Cauchy stress tensor, practical computaton of stresses
Part 4: Small perturbations, practical computation of strains
Part 5: Linear elasticity
Part 6: Standard techniques of resolution
Part 7: Q&A, Exam preparation

Prerequisites

  • basics of mechanics (point mechanics and mechanics of deformable bodies)
  • basics of mathematics (differential calculus, tensor calculus)
    These elements are however reviewed at the beginning of the course.

Test

CC, EXAM

Calendar

The course exists in the following branches:

  • Curriculum - GGC - Semester 5

Additional Information

Course ID : KAGG5M19
Course language(s): FR

You can find this course among all other courses.

Bibliography

  • Jean Coirier, "Mécanique des milieux continus", 2è édition, Dunod.
  • Mécanique des milieux continus: Une introduction, 2005. Botsis, J., Deville, M., Lausanne, Presses Polytechniques et Universitaires Romandes.
  • Mécanique des milieux continus: cours, exercices et problèmes, 2005, Royis, Patrick Lyons, Presses Univ. de Lyon.
  • Guilhem Mollon, "Mécanique des milieux continus", support de cours de Polytech Grenoble.
  • Nicolas Moës, "Mécanique des milieux continus et discrets", support de cours de Centrale Nantes.
  • François Sidoroff, "Mécanique des milieux continus", support de cours de Centrale Lyon.
  • Erick Ringot, "Mécanique des milieux continus", support de cours de l'Université des Sciences de Toulouse.