Constitutive Modelling

Summary

Admission 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

Syllabus

Syllabus for students autumn 2020

Course Code:
MT644A revision 1
Swedish name:
Konstitutiv modellering
Level of specialisation
A1F
Main fields of study:
Materials Science
Language:
English
Date of ratification:
16 August 2018
Decision-making body:
Faculty of Technology and Society
Enforcement date:
31 August 2020

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

Specialisation and progression relative to the degree regulations

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.

Purpose

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.

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.

Assessments

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.

Grading system

Excellent (A), Very Good (B), Good (C), Satisfactory (D), Pass (E) or Fail (U).

Course literature and other teaching materials

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.

Other Information

The syllabus is a translation of a Swedish source text.

Contact

The education is provided by the Faculty of Technology and Society at the department Materials Science and Applied Mathematics.

Further information

Application

31 August 2020 - 08 November 2020 Day-time 50% Malmö This course is offered as part of a program