Mechanics of the deformable solid

The objective of this course is the modeling of continuous solid media by restricting itself, for a first approach, to elastostatics under the assumption of small perturbations. We will find in this course the application of the fundamental principle of statics to deformable solids. The following concepts are introduced: tensors and tensor fields, algebra and tensor analysis, boundary problems, fundamental principle of statics, virtual power principle. Analytical techniques for solving classical problems and energetic approaches will be covered. This course is fundamental in the training of students in mechanics, both those who are oriented towards design and conception or towards R&D.

• The objective of this course is the modeling of continuous solid media by restricting itself, for a first approach, to elastostatics under the assumption of small perturbations. We will find in this course the application of the fundamental principle of statics to deformable solids. The following concepts are introduced: tensors and tensor fields, algebra and tensor analysis, boundary problems, fundamental principle of statics, virtual power principle. Analytical techniques for solving classical problems and energetic approaches will be covered. This course is fundamental in the training of students in mechanics, both those who are oriented towards design and conception or towards R&D.

• Mathematical tools for mechanics.
• Linear algebra .
• Strength of materials

   

  Recommended prerequisites*:

  Solving differential equations

Final exam