Course syllabus

Finita elementmetoden - olinjära system
Finite Element Method for Non-linear Systems

FHLN20, 7,5 credits, A (Second Cycle)

Valid for: 2020/21
Decided by: PLED M
Date of Decision: 2020-03-26

General Information

Elective for: BME5, F4, F4-bs, F4-bem, M4-bem, Pi4-bs, Pi4-bem, V5-ko
Language of instruction: The course will be given in English


The aim of the course is to provide an understanding about modelling and simulation of non-linear structural and material problems using the finite element method.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Judgement and approach
For a passing grade the student must


The course treats the finite element method where both geometrical and material nonlinearities are present. The fundamental equations for large deformations and strains and the various strain measures and stress measures are introduced. The corresponding strong and weak forms of the equilibrium equations are discussed, both in their spatial and material format. The nonlinear finite element formulation is derived from the general three-dimensional case. Emphasis is given to the fundamental principles in the FE-formulation. During the course, the participants are going to establish their own nonlinear FE-program.

Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: The course consists of a series of seminars. In parallel computer laborations the numerical implementation is given. Examination is based on the two project assignments, which consider both theoretical and numerical issues. The projects are graded and the final grade is based on the total grade.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.


Assumed prior knowledge: FHLF20/FHL064/FHLF01 Finite Element Method or VSMN30 The Finite Element Method - Structural Analysis.
The number of participants is limited to: No

Reading list

Contact and other information

Course coordinator: Professor Matti Ristinmaa,
Course homepage: