# 101-0159-00L  Method of Finite Elements II

 Semester Autumn Semester 2021 Lecturers E. Chatzi, K. Tatsis Periodicity yearly recurring course Language of instruction English

### Courses

NumberTitleHoursLecturers
101-0159-00 GMethod of Finite Elements II2 hrs
 Thu 13:45-15:30 HPT C 103 »
E. Chatzi, K. Tatsis

### Catalogue data

AbstractThe Method of Finite Elements II is a continuation of Method of Finite Elements I. Here, we explore the theoretical and numerical implementation concepts for the finite element analysis beyond the linear elastic behavior. This course aims to offer students with the skills to perform nonlinear FEM simulations using coding in Python.
*This course offers no introduction to commercial software.
ObjectiveThis class overviews advanced topics of the Method of Finite Elements, beyond linear elasticity. Such phenomena are particularly linked to excessive loading effects and energy dissipation mechanisms. Their understanding is necessary for reliably computing structural capacity.
In this course, instead of blindly using generic structural analysis software, we offer an explicit understanding of what goes on behind the curtains, by explaining the algorithms that are used in such software.

The course specifically covers the treatment of the following phenomena:
- Material Nonlinearity (Plasticity)
- Geometric Nonlinearity (Large Displacement Problems)
- Nonlinear Dynamics
- Fracture Mechanics
The concepts are introduced via theory, numerical examples, demonstrators and computer labs in Python (starting Fall 2021).

Upon completion of the course, the participants will be able to:
- Recognize when linear elastic analysis is insufficient
- Solve nonlinear dynamics problems, which form the core for limit state calculations (e.g. ultimate capacity, failure) of structures
- Numerically simulate fracture; a dominant failure phenomenon for structural systems.

Lecture notesThe course slides serve as Script. These are openly available on: Link

- Nonlinear Finite Elements of Continua and Structures, T. Belytschko, W.K. Liu, and B. Moran.
- Bathe, K.J., Finite Element Procedures, Prentice Hall, 1996.
- Crisfield, M.A., Remmers, J.J. and Verhoosel, C.V., 2012. Nonlinear finite element analysis of solids and structures. John Wiley & Sons.
- De Souza Neto, E.A., Peric, D. and Owen, D.R., 2011. Computational methods for plasticity: theory and applications. John Wiley & Sons.
Prerequisites / NoticePrerequisites:
-101-0158-01 Method of Finite Elements I (FS)
- A good knowledge of Python is necessary for attending this course.
Competencies
 Subject-specific Competencies Concepts and Theories assessed Method-specific Competencies Analytical Competencies assessed Problem-solving assessed Social Competencies Cooperation and Teamwork assessed Personal Competencies Creative Thinking assessed Critical Thinking assessed

### Performance assessment

 Performance assessment information (valid until the course unit is held again) Performance assessment as a semester course ECTS credits 3 credits Examiners E. Chatzi, K. Tatsis Type graded semester performance Language of examination English Repetition Repetition only possible after re-enrolling for the course unit.

### Learning materials

 No public learning materials available. Only public learning materials are listed.

### Groups

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### Restrictions

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### Offered in

ProgrammeSectionType
Civil Engineering MasterDigitalisation Specific CoursesW
Civil Engineering MasterMajor in Structural EngineeringW
Civil Engineering MasterMajor in Materials and MechanicsW