Continuum mechanics


Semesterangivelse: Forårs kursus Kurset udbydes i blok 3 Kurset udbydes i skemagruppe C Kurset giver 7,5 ETCS point

 


Udgave: Forår 2013 NAT
Point: 7,5
Blokstruktur: 3. blok
Skemagruppe: C
Fagområde: fys
Institutter: Niels Bohr Institutet
Uddannelsesdel: Kandidat niveau
Kontaktpersoner: Joachim Mathiesen, telefon: 35 32 53 42, e-mail: mathies@nbi.dk
Skema- oplysninger:  Vis skema for kurset
Samlet oversigt over tid og sted for alle kurser inden for Lektionsplan for Det Naturvidenskabelige Fakultet Forår 2013 NAT
Undervisnings- periode: 4. februar til 14. april, 2013
Undervisnings- form: Lectures and exercises
Formål: In the macroscopic world, most materials that surround us e.g. solids and liquids can safely be assumed to exist as continua, that is, the materials completely fill the space they occupy and the underlying atomic structures can be neglected. The course offers a modern introduction to the physics of continuous matter with an emphasis on examples from natural occurring systems (e.g. in astrophysics, geophysics and other fields). Focus is equally on the underlying formalism of continuum mechanics and phenomenology. In the course you will become familiar with the mechanical behavior of materials ranging from viscous fluids to elastic solids.
Indhold: A description of fluids in motion including Eulaer equations, potential flow, Stokes flow, Viscocity and the Navier-Stokes equation. Boundary layer problems will be considered. A description of the deformation of solids, mehcanical equilibrium, the stress and strain tensors, Hooke's law and linear elsticity and a derivation of the Navier-Cauchy equation as well as examples from elastostatics:bending beams and torsion of shafts. Elastodynamics and elastic waves.
Målbeskrivelse: At the conclusion of the course students will be able to use the fundamental physical laws of mass conservation, conservation of momentum, and conservation of energy to derive differential equations describing the behavior of objects modeled as a continuum. The student will also be able to describe the flow of fluids in basic idealized systems using the Euler equations.Describe creeping flows. Describe in detail the Navier-Stokes equation. Calculate the stress and strain during small deformations of linear elastic materials in simple geometries.
Lærebøger: Benny Lautrup, Continuum Physics: Exotic and everyday phenomena in the macroscopic world.2nd edition.
Tilmelding: Selvbetjeningen from November 15 - December 1.
Faglige forudsætninger: The course is open to graduates and 3rd year bachelor students from physics, astrophysics, biophysics and geophysics. There are no specific prerequisites, however, it is assumed that you are familiar with a general physics curriculum corresponding to what is taught during the first couple of years.
Eksamensform: Oral exam (30 min without preparation time)graded according to the 7-step scale and with internal censorship.
Reexam will be held as the ordinary exam.
Eksamen: Mundtlig prøve d. 10. april 2013.
Reeksamen: Mundtlig prøve d. 26. juni 2013.
Kursus hjemmeside:
Bemærkninger: The language can be in Danish if no english students attend the course
Undervisnings- sprog: Engelsk
Sidst redigeret: 29/10-2012



Københavns Universitet