Autumn Semester 2020 takes place in a mixed form of online and classroom teaching.

# 151-0833-00L  Principles of Nonlinear Finite-Element-Methods

 Semester Autumn Semester 2016 Lecturers N. Manopulo, B. Berisha, P. Hora Periodicity yearly recurring course Language of instruction English

### Catalogue data

 Abstract Most problems in engineering are of nonlinear nature. The nonlinearities are caused basically due to the nonlinear material behavior, contact conditions and instability of structures. The principles of the nonlinear Finite-Element-Method (FEM) will be introduced in the scope of this lecture for treating such problems. Objective The goal of the lecture is to provide the students with the fundamentals of the non linear Finite Element Method (FEM). The lecture focuses on the principles of the nonlinear Finite-Element-Method based on explicit and implicit formulations. Typical applications of the nonlinear Finite-Element-Methods are simulations of:- Crash - Collapse of structures- Materials in Biomechanics (soft materials)- General forming processes Special attention will be paid to the modeling of the nonlinear material behavior, thermo-mechanical processes and processes with large plastic deformations. The ability to independently create a virtual model which describes the complex non linear systems will be acquired through accompanying exercises. These will include the Matlab programming of important model components such as constitutive equations Content - Fundamentals of continuum mechanics to characterize large plastic deformations- Elasto-plastic material models- Updated-Lagrange (UL), Euler and combined Euler-Lagrange (ALE) approaches- FEM implementation of constitutive equations- Element formulations- Implicit and explicit FEM methods- FEM formulations of coupled thermo-mechanical problems- Modeling of tool contact and the influence of friction- Solvers and convergence- Modeling of crack propagation- Introduction of advanced FE-Methods Lecture notes yes Literature Bathe, K. J., Finite-Element-Procedures, Prentice-Hall, 1996 Prerequisites / Notice If we will have a large number of students, two dates for the exercises will be offered.

### Performance assessment

 Performance assessment information (valid until the course unit is held again) Performance assessment as a semester course ECTS credits 5 credits Examiners N. Manopulo, B. Berisha, P. Hora Type session examination Language of examination English Repetition The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. Mode of examination written 120 minutes Written aids 3x A4 sheets, double-sided with personal handwritten notes/summary, scientific calculator This information can be updated until the beginning of the semester; information on the examination timetable is binding.

### Learning materials

 Main link Information Only public learning materials are listed.

### Courses

NumberTitleHoursLecturers
151-0833-00 VPrinciples of Nonlinear Finite-Element-Methods
Wird auf Wunsch der Studenten auch in deutscher Sprache gehalten
2 hrs
 Wed 10-12 CLA E 4 »
N. Manopulo, B. Berisha, P. Hora
151-0833-00 UPrinciples of Nonlinear Finite-Element-Methods
Wird auf Wunsch der Studenten auch in deutscher Sprache gehalten.

Exercises start in the second week of the semester.
2 hrs
 Wed 14-16 CLA F 2 »
N. Manopulo, B. Berisha, P. Hora

### Groups

 No information on groups available.

### Restrictions

 There are no additional restrictions for the registration.

### Offered in

ProgrammeSectionType
Civil Engineering MasterMajor in Materials and MechanicsW
Doctoral Department of Mechanical and Process EngineeringDoctoral and Post-Doctoral CoursesW
Mechanical Engineering BachelorManufacturing ScienceW+
Mechanical Engineering MasterMechanics, Materials, StructuresW
Computational Science and Engineering BachelorElectivesW
Computational Science and Engineering MasterElectivesW