Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master
SUBJECT
| MMM1001 | Continuum Mechanics |
| Teaching Staff in Charge |
Lect. GROSAN Teodor, Ph.D., tgrosan math.ubbcluj.ro |
| Aims |
|
Fundamental notion of continuum mechanics related to movement and deformation of continuum media are studied. Deformation and displacement equations for elastic media and Navier-Stokes and Euler equations for fluid flow are obtained. |
| Content |
|
1. Strain. Strain tensor
2. Stress. Stress tensor 3. Generalized Hooke’s law 4. Beltrami, Saint-Venant, Lame equations 5. Strain rate tensor. 6. Generalized Newton’s law 7. Inviscid fluid. Euler equations 8. Viscous fluid. Navier-Stokes equations |
| References |
|
1. DRAGOS, LAZAR: Mecanica Fluidelor. Bucuresti: Editura Academiei, 1999.
2. KOHR, MIRELA - POP, IOAN: Viscous Incompressible Flow for Low Reynolds Numbers. Southampton-Boston: WIT Press (Wessex Institute of Technology Press): Computational Mechanics Publications, 2004. 3. KOHR, MIRELA: Probleme Moderne ale Mecanicii Fluidelor Vascoase. Cluj-Napoca: Presa Universitara Clujeana, 2000. 4. PETRILA, TITUS - TRIF, DAMIAN: Metode Numerice si Computationale in Dinamica Fluidelor. Cluj-Napoca: Ed. Digital Data Cluj, 2002. 5. Lai, W.M., Rubin, D., Krempel, E.: Introduction to Continuum Mechanics, Elsevier, 1999. 6. Saad, M.: Elasticity. Theory, applications and numerics, Elsevier, 2005. 7. BRADEANU, PETRE: Mecanica fluidelor, Ed. Tehnica, Bucuresti, 1973. |
| Assessment |
|
Final mark is given by:
Written exam: 75% Seminar activity: 25% |
| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |