ELEMENTS OF CONTINUOUS MECHANICS
Academic Year 2023/2024 - Teacher: Giuseppe MULONEExpected Learning Outcomes
The objectives of the course are:
1. Give the basic elements of continuum mechanics and fluid dynamics (II module).
2. Understanding the mechanics of continuous physical phenomena and fluid dynamics.
3. Understanding of the different solution methods: why it has been proposed a solution method? What are some alternative methods? Understanding how the analytical solutions obtained are related to the physics of the problem.
4. It will be privileged the understanding of the physical part,the methods and the analytical resolution.
Course Structure
Lectures and exercises done by students at home and in class.
Should teaching be carried out in mixed mode or remotely, it may be
necessary to introduce changes with respect to previous statements, in
line with the programme planned and outlined in the syllabus.
Detailed Course Content
(Form II)
Continuum Mechanics
Ideal fluids, Stokesian fluids, Navier Stokes equations
The complete program is here:
http://www.dmi.unict.it/~mulone/IFM2021.pdf
Textbook Information
[1] G. MULONE, Appunti di elementi di meccanica dei continui.
[2] T. RUGGERI, Introduzione della termomeccanica dei continui, II edizione riveduta e corretta, Monduzzi Editoriale, 2014.
[3] J. FLAVIN, S. RIONERO, Qualitative estimates for partial differential equations. An introduction. Boca Raton, Florida: CRC Press, 1996.
[4] T. MANACORDA, Introduzione alla termomeccanica dei continui, QUMI, ed. Pitagora.
[5] S. RIONERO, Lezioni di Meccanica Razionale, ed. Liguori.
[6] J. SERRIN, Mathematical principles of Classical Fluid Mechanics, Handbuk der Phisick VIII/1, 1959.
[7] C. TRUESDELL, The elements of continuum Mechanics, ed. SpringerVerlag.
Course Planning
Subjects | Text References | |
---|---|---|
1 | Teorema del trasporto e applicazioni | 1,2 |
2 | Formula fondamentale della cinematica dei continui. Condizione di rigidità | 1,2,4 |
3 | Equazioni fondametali della meccanica dei continui | 1,2,3, 5 |
4 | Fluidi non viscosi e fluidi Stokesiani | 1,2,4,5 |
5 | Equazioni di Navier Stokes | 1, 6, |
6 | Moti laminari | 1,6 |