Course - Nonlinear Static and Dynamic Analysis by the Finite Element Method - KT8215
Nonlinear Static and Dynamic Analysis by the Finite Element Method
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About the course
Course content
Stress and strain measrues for for large deformations. Updated and total Lagrangian formulations. Numerical implementation. Finite element semi-discretization and linearization of the equilibrium equations. Explicit and implicit solution methods. Continuation methods. Variational principles. Element technology. Contact and impact.
Learning outcome
The candidates should have knowledge and understanding of the theory of nonlinear finite element methods for quasi-static and dynamic problems. Knowledge: The candidates will understand the theoretical foundation of nonlinear finite element methods and how these methods are implemented numerically. Skills: The candidates will be able to derive and apply the fundamental equations nonlinear finite element methods and the algorithms for numerical implementation. They will also be able to perform nonlinear finite element simulations and critically evaluate the computed results. General competences: The candidates can apply advanced commercial nonlinear finite element software with a good understanding of the assumptions the software is based on. They can assess the quality of the simulation results. If necessary, they should be able to develop their own nonlinear finite element program. The students have a good basis for reading scientific articles within the subject. Furthermore, they are able to publish research at an international level, where use and development of nonlinear finite element software is central.
Learning methods and activities
Lectures, study groups and project work. The teaching will be in English when students who do not speak Norwegian follow the course. In this case, examination papers will be given in English only but students are free to choose Norwegian or English for written assessments. To pass the course a score of at least 70 percent is required.
Recommended previous knowledge
KT8305 Continuum Mechanics or similar.
Course materials
Lecture notes. Textbook: Ted Belytschko, Wing Kam Liu, Brian Moran, Khalil Elkhodary, Nonlinear Finite Elements for Continua and Structures, 2nd Edition, 2013 (ISBN: 978-1-118-63270-3).
Subject areas
- Technological subjects