Inhalt

[ 403MAMOMMCV22 ] VL (*)Mathematical methods in continuum mechanics

Versionsauswahl
(*) Leider ist diese Information in Deutsch nicht verfügbar.
Workload Ausbildungslevel Studienfachbereich VerantwortlicheR Semesterstunden Anbietende Uni
6 ECTS M - Master Mathematik Stefan Kindermann 4 SSt Johannes Kepler Universität Linz
Detailinformationen
Quellcurriculum Masterstudium Industrial Mathematics 2025W
Lernergebnisse
Kompetenzen
(*)The students understands technical terms from mechanics and can evaluate mechanical models with repect to validity and limitations. The student understands and can apply the mathematical tools required in the analysis of continuum mechanics and in continuative courses.
Fertigkeiten Kenntnisse
(*)
  • Understanding of the foundational concepts of continuum mechanics of solids and fluids and the resulting equations;
  • Applying analytic methods for the treatment of the corresponding equations;
  • Setting up of force and stress distributions in practical problems and calculating them in standard cases;
  • Simplifying mechanical models for practical applications and valuing their applicability;
  • Understanding material models in practical applications valuing their applicability
(*)Deformation, rigid deformation, strain tensors; Euler and Lagrangian coordinates; Piola transform; Mass, density and mass conservation; Body forces and contact forces and torque; Linear and angular momentum; Stress and stress tensors; Stress principle; Equation of equlibrium and motion in Lagrange and Euler coordinates; Constitutive equations for elastic bodies; Axiom of material frame indifference; Isotropy; Rivlin Erikson theorem; Hyperelasticity; Linearized Elasticity; Mathematical theory of linearized elasticity; Simplified models: plane stress and strain and Kirchoff-Love model; Reynolds transport theorem; Newtonian fluid; Incompressible fluids; Navier-Stokes equations Simplfied models: Euler and Stokes flow; Vorticity; Potential flow; Boundary layer models; Turbulence models;
Beurteilungskriterien (*)Written or oral exam
Lehrmethoden (*)Blackboard presentation
Abhaltungssprache Englisch
Literatur (*)Lecture notes
Lehrinhalte wechselnd? Nein
Frühere Varianten Decken ebenfalls die Anforderungen des Curriculums ab (von - bis)
TMBPAVOMMKM: VO Mathematische Methoden der Kontinuumsmechanik (1998W-2022S)
Präsenzlehrveranstaltung
Teilungsziffer -
Zuteilungsverfahren Direktzuteilung