Mécanique des milieux continus PMP-PI - 3PMMMECA

Goal(s)

Present the basic concepts and tools of the mechanics of deformable media. The concepts of stress, strain or strain rate, and behavior laws are presented in such a way that they can be applied both in the case of solid mechanics (linear elasticity) and in the case of fluid mechanics (Newtonian fluids).

Content(s)

Part 1: Fundamentals of Continuum Mechanics

• Internal forces. Stress tensor.
• Equations of equilibrium.
• Strain and strain rate tensors.
• Linear behavior laws: elastic solids (Hooke's law) and Newtonian fluids.

Part 2: Application to solids

• Navier-Lamé equation. Solving various elastic problems.
• Plasticity criteria

Part 3: Application to fluids

• Navier-Stokes equation.
• Statics and kinematics. Dynamics of ideal fluids.
• Bernoulli's equation.
• Poiseuille flow.
• Laminar and turbulent flows.
• Pressure losses in pipes.
  

Point mechanics, solid mechanics.

Test

DS: 80% of the final grade:
Continuous assessment: 20% of the final grade (no resits)

Additional Information

Bibliography

Cours d'Elasticité, J.P. Henry et F Parsy, Dunod.
Résistance des Matériaux, J. Courbon, Dunod.
Résistance des Matériaux, M. Kerguignas et G. Caigneart, Dunod.
Mécanique expérimentale des fluides, R. Comolet, Masson.
Mécanique des fluides appliquée, R. Ouziaux et J. Perrier, Dunod.