Non-linear Finite Element Analysis, 6 credits
Olinjär FEA, 6 högskolepoäng
Course Syllabus for students Autumn 2019
Course Code: TOLR28
Confirmed by: Dean Apr 6, 2018
Valid From: Aug 1, 2018
Version: 1
Education Cycle: Second-cycle level
Disciplinary domain: Technology
Subject group: MT1
Specialised in: A1N
Main field of study: Product Development

Intended Learning Outcomes (ILO)

After completing the course, the student shall;

Knowledge and understanding

- display knowledge of basic principles of nonlinear FEA, in particular the disciplines of contact mechanics and plasticity
- display knowledge of understanding for derivations of FEA methods from governing equations.

Skills and abilities

- demonstrate the ability to perform nonlinear FEA of real engineering
problems such that a drop test or sheet metal forming
- demonstrate the ability to read a scientific paper within the field of nonlinear FEA
without any need for understanding of the details.

Judgement and approach

- demonstrate the ability to suggest appropriate analysis for different types of problems
- demonstrate the ability to judge and criticise results from a finite analysis.


The course includes the following topics:
- Strong and weak formulations of a one-dimensional problem.
- Finite element formulations, (strong and weak formulations),
iso-parametric formulation, numerical integration.
- Linear elasticity, continuum mechanics, stress, strain, balance laws, Eulerian and Lagrangian formulations.
- Contact mechanics, Signorini’s contact conditions, trial and error approach, penalty
formulation, augmented Lagrangian formulation, Newton’s method, the
- Plasticity, associative plasticity, the principle of maximal dissipation, J2-plasticity,
radial return, isotropic hardening.
- Projects and tutorial using Matlab and Abaqus.
The teaching is conducted in English.


The applicant must hold the minimum of a bachelor’s degree (i.e the equivalent of 180 ECTS credits at an accredited university) with at least 90 credits in mechanical engineering, or equivalent. The bachelor’s degree should comprise a minimum of 21 credits in mathematics, including at least 6 credits in multivariate calculus. Proof of English proficiency is required.

Examination and grades

The course is graded 5,4,3 or Fail .

Registration of examination:
Name of the TestValueGrading
Written exam15 credits5/4/3/U
Project work1 creditU/G
1 Determines the final grade of the course, which is issued only when all course units have been passed.

Course literature


Lecture notes, distributed digitally.