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

SemesterAutumn Semester 2016
LecturersN. Manopulo, B. Berisha, P. Hora
Periodicityyearly recurring course
Language of instructionEnglish



Catalogue data

AbstractMost 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.
ObjectiveThe 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 notesyes
LiteratureBathe, K. J., Finite-Element-Procedures, Prentice-Hall, 1996
Prerequisites / NoticeIf 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 credits5 credits
ExaminersN. Manopulo, B. Berisha, P. Hora
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 120 minutes
Written aids3x 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

 
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Courses

NumberTitleHoursLecturers
151-0833-00 VPrinciples of Nonlinear Finite-Element-Methods
Wird auf Wunsch der Studenten auch in deutscher Sprache gehalten
2 hrs
Wed10-12CLA 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
Wed14-16CLA F 2 »
N. Manopulo, B. Berisha, P. Hora

Groups

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Restrictions

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Offered in

ProgrammeSectionType
Civil Engineering MasterMajor in Materials and MechanicsWInformation
Doctoral Department of Mechanical and Process EngineeringDoctoral and Post-Doctoral CoursesWInformation
Mechanical Engineering BachelorManufacturing ScienceW+Information
Mechanical Engineering MasterMechanics, Materials, StructuresWInformation
Computational Science and Engineering BachelorElectivesWInformation
Computational Science and Engineering MasterElectivesWInformation