The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
- Basic principles and physical justification of the continuity assumption. Tensor field representation. Invariance. Cylindrical and spherical coordinates.
- Principal concepts and tools to analyze the kinematics of deformable media (velocity, acceleration, strain, rotation, strain and rotation rates, Eulerian and Lagrangian representations).
- Principal concepts and laws governing the dynamics of continuous media. Stresses, Mohr circles. Conservation laws.
- Elementary Thermodynamics of continuous media. Constitutive equations.
b. Applications.
- Solid Mechanics: Basic infinitesimal Thermo-Elasticity (elastic moduli, thermal effects). Classical analytical examples.
- Fluid Mechanics: Pressure, viscosity, and compressibility concepts. Newtonian viscous fluid model. Classical examples (e.g. flow in a pipe). Perfect fluid approximation and elementary applications.
At the end of this learning unit, the student is able to : | |
1 | In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning:
The objective is to provide a general introduction to the Mechanics of continuous media, together with its elementary applications to Solid and Fluid Mechanics. At the end of his learning, the student should have assimilated the principal concepts and laws governing the kinematics and dynamics of deformable media. In addition, he should understand the application of this theory to the cases (i) of infinitesimal Thermo-Elasticity, and (ii) of Newtonian and perfect Fluid Mechanics. Moreover, he should be able to apply these concepts to the solution of simple analytical problems. |
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
- Support de cours accessible sur page Web (http://www.mema.ucl.ac.be/teaching/meca2901).
- Photocopies de documents si nécessaire.