151-0515-00L  Continuum Mechanics 2

SemesterFrühjahrssemester 2021
DozierendeE. Mazza, R. Hopf
Periodizitätjährlich wiederkehrende Veranstaltung

KurzbeschreibungAn introduction to finite deformation continuum mechanics and nonlinear material behavior. Coverage of basic tensor- manipulations and calculus, descriptions of kinematics, and balance laws . Discussion of invariance principles and mechanical response functions for elastic materials.
LernzielTo provide a modern introduction to the foundations of continuum mechanics and prepare students for further studies in solid
mechanics and related disciplines.
Inhalt1. Tensors: algebra, linear operators
2. Tensors: calculus
3. Kinematics: motion, gradient, polar decomposition
4. Kinematics: strain
5. Kinematics: rates
6. Global Balance: mass, momentum
7. Stress: Cauchy's theorem
8. Stress: alternative measures
9. Invariance: observer
10. Material Response: elasticity
LiteraturRecommended texts:
(1) Nonlinear solid mechanics, G.A. Holzapfel (2000).
(2) An introduction to continuum mechanics, M.B. Rubin (2003).