Entry requirements

MA625E: Applied Mathematics with Technical Programming, 15 credits

In addition to the formal entry requirements, the student is expected to have knowledge equivalent to the course:
MA626E: Numerical Analysis and Machine Learning.

Main field

CTMAV Materials Science

Progression level in relation to degree requirements

The course is part of the main field of Materials Science and may be included in a Master of Science degree in Materials Science (120 credits).

Course contents

• Basic tensor algebra
• Strain and stress descriptions
• Basic mechanical and thermodynamic principles
• Hyperelastic and plastically deformable material descriptions
• The finite element method for linear and nonlinear systems
• Implementation methods for finite element formulations

Learning outcomes

Knowledge and understanding

In order to pass the course, the student must be able to:

1. Account for and apply basic tensor algebra as well as different strain and stress measures.

2. Describe fundamental principles underlying the finite element method and its application to linear and nonlinear problems.

3. Explain different types of boundary conditions and their implementation in finite element formulations.

4. Describe the structure and main components of a finite element program.

Skills and abilities

In order to pass the course, the student must be able to:

5. Solve boundary value problems in finite and infinitesimal elasticity.

6. Apply fundamental physical principles to formulate and solve engineering problems.

7. Formulate differential equations in weak form and establish a finite element formulation.

8. Implement solution algorithms for nonlinear problems.

9. Use finite element software to model, simulate and analyse linear and nonlinear problems.

Judgement and approach

In order to pass the course, the student must be able to:

10. Describe the physical and thermodynamic assumptions underlying constitutive laws.

11. Evaluate the suitability of constitutive laws for different materials and applications.

12. Analyse, model and simulate structures using the finite element method, and interpret and evaluate the results.

Learning activities

Lectures, computer-based laboratory work and independent study.

Assessment

Requirements for a Pass (A-E)

• Written examination (UA), 6 credits (Learning outcomes 1–7 and 10).
• Written assignments (Pass/Fail), 4 credits (Learning outcomes 1, 3–7, 8–9 and 11–12).

The final grade is based on the grade from the written examination.

Course literature and other study materials

Course literature and other learning materials

• Nam-Ho Kim, Introduction to nonlinear finite element analysis, Springer, 2018

Course evaluation

Malmö University provides students who participate in, or who have completed a course, with the opportunity to express their opinions and describe their experiences of the course by completing a course evaluation administered by the University. The University will compile and summarise the results of course evaluations. The University will also inform participants of the results and any decisions relating to measures taken in response to the course evaluations. The results will be made available to the students (HF 1:14).

Interim rules

If a course is no longer offered, or has undergone significant changes, the students must be offered two opportunities for re-examination based on the syllabus that applied at the time of registration, for a period of one year after the changes have been implemented. The syllabus is a translation of a Swedish source text.

Additional information

If a student has a Learning support decision, the examiner has the right to provide the student with an adapted test, or to allow the student to take the exam in a different format. The syllabus is a translation of a Swedish source text.