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151-0515-00L 4 Credits MSC D-MATH , D-MAVT
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Nonlinear Continuum Mechanics

Lecturers: Prof. Dr. Sanjay Govindjee, PD Dr. Sven Klinkel
Examiners: Prof. Dr. Edoardo Mazza
VVZ CR n/a

Last Updated: 2026-02-05 15:29:14

Abstract

An introduction to finite deformation continuum mechanics and nonlinearmaterial behavior. Coverage of basic tensor- manipulations and calculus,descriptions of kinematics, and balance laws for momentum, energy, andentropy. Discussion of invariance principles and material responsefunctions for elastic, inelastic, and coupled field phenomena.

Objective

To provide a modern introduction to the foundations of continuum mechanics and prepare students for further studies in solid mechanics and related disciplines.

Content

1. Tensors: algebra, linear operators 2. Tensors: calculus 3. Kinematics: motion, gradient, polar decomposition 4. Kinematics: strain 5. Kinematics: rates 6. Global Balance: mass, momentum, energy, entropy 7. Stress: Cauchy's theorem 8. Stress: alternative measures 9. Invariance: observer 10. Material Response: elasticity, viscoelasticity, thermoelasticity

Resources

Lecture Notes

none

Literature

Recommended texts: (1) Nonlinear solid mechanics, G.A. Holzapfel (2000). (2) An introduction to continuum mechanics, M.E. Gurtin (1981). (3) Continuum Mechanics, P. Chadwick (1999).

General Information

Language
English
Levels
MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Nonlinear Continuum Mechanics
  • Thu 10:15-12:00 (CAB H 57)
  • Thu 12:15-13:00 (CAB H 57)
2 h weekly
exercise Nonlinear Continuum Mechanics
  • By Appointment None-None
1 h weekly

Offered In