ELEMENTS OF CONTINUOUS MECHANICS

Academic Year 2023/2024 - Teacher: Giuseppe MULONE

Expected 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

SubjectsText References
1Teorema del trasporto e applicazioni1,2
2Formula fondamentale della cinematica dei continui. Condizione di rigidità1,2,4
3Equazioni fondametali della meccanica dei continui1,2,3, 5
4Fluidi non viscosi e fluidi Stokesiani1,2,4,5
5Equazioni di Navier Stokes1, 6,
6Moti laminari1,6