Course - Calculus of Variations and Variational Principles for Continuum based Analysis Software - MM8100
MM8100 - Calculus of Variations and Variational Principles for Continuum based Analysis Software
About
Examination arrangement
Examination arrangement: Oral exam
Grade: Passed / Not Passed
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral exam | 100/100 | 1 hours | E |
Course content
The course consists of variational calculus and the variational principles that are the foundation for most continuum based simulation programs. This also includes tensor theory and the most common tensors used in linear and nonlinear solid mechanics. Topics are: Euler Equation. Natural and essential boundary conditions. General constraint conditions. Minimum potential energy. Hellinger-Riessner and Hu-Washizu principle. Generalized multifield principles. Tensor algebra. Co-variant and contra-variant vector systems. Stress and strain measures. Additional topics may be selected for the individual candidates. A passing grade is required on the project work before taking the exam.
Learning outcome
Knowledge: This subject are aimed give comprehensive understanding of the theory behind simulation software.
Skills: Ability to comprehend theory from multiple sources, and be able to combine and expand on this for new applications.
General Competence: Be able to communicate and present obtained knowledge.
Learning methods and activities
Guided private study and project work. To pass the course a score of at least 70 percent is required.
Compulsory assignments
- Project work
Further on evaluation
For a re-take of an examination, all assessments during the course must be re-taken.
Recommended previous knowledge
The students should have followed the specialization course "Advanced Product Simulation" or have equivalent knowledge.
Required previous knowledge
All students taking this course must be enrolled in a PhD program at NTNU or a different university.
Course materials
This information are given at the beginning of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| DIO2001 | 7.5 |
No
Version: 1
Credits:
7.5 SP
Study level: Doctoral degree level
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: English
Location: Trondheim
- Technological subjects
Department with academic responsibility
Department of Mechanical and Industrial Engineering
Examination
Examination arrangement: Oral exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Oral exam 100/100 E
-
Room Building Number of candidates - Spring ORD Oral exam 100/100 E
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"