Mécanique des milieux continus

Mécanique des milieux continus
Diplôme d'ingénieur de l'École et observatoire des sciences de la Terre (EOST)Parcours Diplôme d'ingénieur de l'EOST

Description

Notion de Tenseur
Contrainte
Déformations
Rhéologie
Élasticité
Équations générales de la théorie de l’élasticité
Problèmes en élasticité

Notion of Tensor
Stress
Strain
Rheology
Elasticity
General equations of the theory of elasticity
Problems in elasticity


A la fin de ce cours, vous serez capable de :

Calculer les contraintes/déformations principales et les directions principales de contrainte/déformation. Calculer les contraintes normales et cisaillantes sur un plan donné. Modéliser le comportement des matériaux en fonction du modèle rhéologique imposé. Résoudre des problèmes d’élasticité simple. Calculer la déflexion de plaques minces.

Compute the principal stresses/strain and principal stress/strain directions. Obtain normal and shear stresses on a given plane. Model the behavior of materials according to the imposed rheological model. Solve simple elasticity problems. Calculate the flexure of thin plates.
 

Compétences visées

Introduire le concept de tenseurs et aborder les notions de contrainte et de déformation. Présenter les lois de comportement pour les matériaux terrestres à l’aide de modèles unidirectionnels. Présenter les lois de l’élasticité linéaires avec des exemples tirées de la géomécanique : contraintes dans l’écorce terrestre et sur les failles ; déformation différée des échantillons de roche, calcul des contraintes et des déplacements pour certains essais de laboratoire et in situ.

Introduce the concept of tensors and discuss the notions of stress and strain. Present the rheological laws for Earth materials using unidirectional models. Derive the laws of linear elasticity with examples from geomechanics: stresses in the Earth's crust and on faults; delayed deformation of rock samples, calculation of stresses and displacements for some laboratory and in situ tests.
 


School regulations

The curriculum includes three years of study: admissions, the organisation of studies, assessments, placements and vivas, graduation and international exchanges are all explained in the current school rules (pdf).

First and second year courses

First and second year courses

  • General modules: mechanics, geology, mathematics, IT, digital analysis, signal processing, inverse methods.
  • Geophysical methods: physics of the Earth, seismology, seismic modelling and imaging, geodesy, gravimetry, potential methods, geomagnetism, electromagnetism, rock physics and fracture, hydrology.
  • Practical work: geophysical measurements in the field (photo) and in the laboratory, geology field placements in the Alps.
  • Languages and economic and social sciences: English, modern language 2, economics, industrial property, management, sustainable development, ethics, quality, company health and safety
  • IT and research projects, shared with the first year of the master’s degree
  • Summer placements at a laboratory or company, with numerous opportunities abroad (international placement contact: Mike Heap)

Third year course

Students have a choice of 3 specialisations in the third year:

  • Geophysics applied to the exploration and production of raw materials: seismic and hydrodynamic characterisation of reservoirs, seismic processing and interpretation, potential methods.
  • Geophysics applied to geotechnics: geotechnics and the resistance of materials applied in civil engineering, geomechanics, hydrogeophysics, electromagnetic methods, earthquake.
  • Hydrogeology, hydrogeochemistry, hydrogeophysics (HydroG3).

Additional teaching:

  • Languages and economic and social sciences: English, energy economy, company strategy and structure.
  • Geophysics field camp in Alsace (photo).  Here are images of a normal fault in the Rhine Graben taken by students.
  • 6-month industry placement culminating in the writing of a dissertation and a viva before a jury in order to obtain the engineering degree. The placements are carried out all over the world.