Course syllabus autumn 2021
Course syllabus autumn 2021
Title
Constitutive Modelling
Swedish title
Konstitutiv modellering
Course code
MT644A
Credits
7.5 credits
Grading scale
UA / Excellent (A), Very Good (B), Good (C), Satisfactory (D), Pass (E) or Fail (U)
Language of instruction
English
Decision-making body
Faculty of Technology and Society
Syllabus approval date
2018-08-16
Syllabus valid from
2020-08-31
Entry requirements
1. Degree of Engineering in Mechanical Engineering or a degree in a related field. All degrees must be equivalent to at least 180 higher education credits.
2. At least 22.5 credits of Mathematics.
3. The equivalent of English B in Swedish secondary school or equivalent
4. Passed courses:
• MA620A Scientific Programming, 7,5 hp
Level
Advanced level
Main field
Materials Science
Progression level
A1F
Progression level in relation to degree requirements
The course is part of the main field of study Materials Science and meets the degree requirement for the degree of Master (Two Years), main field of study Materials Science.
Course objectives
The course objective is for the student to obtain an overview of the different types of constitutive laws for modelling the mechanical response in different types of materials. The student shall also develop an understanding of methods for solving elastoplastic problems.
Course contents
The course covers the following:
• invariant and deviatoric stresses and strains;
• linear and non-linear elasticity;
• viscous effects;
• yield criteria and plasticity models; and
• numerical solution methods.
Learning outcomes
Knowledge and understanding
Once the course is completed, the student shall:
• understand the assumptions and simplifications made in the mathematical description of a material model;
• understand the implications of the concept of invariant and its applications;
• be familiar with different types of constitutive models for deformable solids; and
• understand the need for different methods to solve non-linear problems.
Skills and abilities
Once the course is completed, the student shall:
• demonstrate the ability to choose an appropriate material model for different applications;
• demonstrate the ability to apply material models for anisotropic elasticity, plasticity and viscous effects;
• demonstrate the ability to apply different yield criteria for elastoplastic problems; and
• demonstrate the ability to implement solution algorithms for non-linear problems.
Judgement and approach
Once the course is completed, the student shall:
• demonstrate the ability to judge whether a constitutive law is applicable for a certain material or not; and
• demonstrate the ability to follow the developments related to material modelling, both in terms of theoretical and numerical aspects.
Learning activities
The course is comprised of lectures, exercises, seminars and independent study.
Assessment
Requirements for pass (A-E): Passed written exam (5 credits) and passed written assignments (2.5 credits).
The final grade is based on the written exam.
Course literature and other study material
Recommended reading:
- Saabye Ottosen, Niels & Ristinmaa, Matti (2005). The mechanics of constitutive modeling. 1. ed. Amsterdam: Elsevier
Course evaluation
The University provides students who are taking or have completed a course with the opportunity to share their experiences of and opinions about the course in the form of a course evaluation that is arranged by the University. The University compiles the course evaluations and notifies the results and any decisions regarding actions brought about by the course evaluations. The results shall be kept available for the students. (HF 1:14).
Interim rules
When a course is no longer given, or the contents have been radically changed, the student has the right to re-take the examination, which will be given twice during a one year period, according to the syllabus which was valid at the time of registration.
Additional information
The syllabus is a translation of a Swedish source text.