Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master
SUBJECT

Code	Subject	
MMM1001	Continuum Mechanics	

Section	Semester	Hours: C+S+L	Category	Type	
Applied Mathematics	1	2+2+0	speciality	compulsory	

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&#8217;s law
4.	Beltrami, Saint-Venant, Lame equations
5.	Strain rate tensor.
6.	Generalized Newton&#8217;s law
7.	Inviscid fluid. Euler equations
8.	Viscous fluid. Navier-Stokes equations
	
Bibliography	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%