Raoul Hopf: Catalogue data in Spring Semester 2020

Name Dr. Raoul Hopf
Institut für Mechanische Systeme
ETH Zürich, LEE N 219
Leonhardstrasse 21
8092 Zürich
Telephone+41 44 632 28 86
DepartmentMechanical and Process Engineering

151-0515-00LContinuum Mechanics 24 credits2V + 1UE. Mazza, R. Hopf
AbstractAn 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.
ObjectiveTo provide a modern introduction to the foundations of continuum mechanics and prepare students for further studies in solid
mechanics and related disciplines.
Content1. 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
Lecture notesNone.
LiteratureRecommended texts:
(1) Nonlinear solid mechanics, G.A. Holzapfel (2000).
(2) An introduction to continuum mechanics, M.B. Rubin (2003).