After successful completion of the course, students are able to:

• name and describe sources of nonlinear system behavior in the field of solid mechanics
• derive the finite-element-description for nonlinear problems from the principle of virtual work
• list and describe solution procedures for nonlinear finite element problems
• list and describe methods to determine the critical load and buckling modes for nonlinear stability problems
• name and explain different sources of nonlinear material behavior as well as to explain how the corresponding material routine is embedded within a finite element program

• General description of nonlinear problems in solid mechanics
• Fundamentals of nonlinear continuum mechanics
• Derivation of the finite-element-description for nonlinear problems
• Incremental-iterative solution procedures
• Geometric nonlinearities (finite deformations)
• Nonlinear material behavior
• Nonlinear stability analysis
• Application to examples

• Theory in form of a presentation
• Discussion of problems occurring in practical applications
• Python programs to illustrate different schemes

NOTE: all lectures will be held in the first week of Oktober

Oral exam with a duration of about 30min including about 10min for written preparation

NOTE: Exams until the End of November 2021 and then starting again with April 2022

• Continuum mechanics of solids
• Linear finite element method