Syllabus academic year 2007/2008

Higher education credits: 10,5. Grading scale: TH. Level: A (Second level). Language of instruction: The course might be given in English. VSM040 overlap following cours/es: FHL064 och FHL064. Optional for: V4at, V4hb, V4sa. Course coordinator: Kent Persson,, Byggnadsmekanik. Prerequisites: VSM150 Engineering Modelling: Analysis of Structures. Recommended prerequisits: FMA062 Applied Mathematics. The course might be cancelled if the numer of applicants is less than 15. Assessment: Two mid-term tests and three design assignments. Home page:

The aim of the course is to give detailed theoretical and practical knowledge on the finite element method to be able to model and analyse general problems described from a physical context. The finite element method is utilised for solving common problems within the field of engineering, such as, heat flow, ground water flow, diffusion, 2- and 3-dimensional elasticity problems, beams and plates.

Knowledge and understanding
For a passing grade the student must

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

The course consists of lectures, exercise sessions and three compulsory design assignments. In the first part of the course a detailed derivation of all the steps in the finite element formulation are given for a one-dimensional heat flow problem: direct approach, strong and weak formulations, approximating functions and weighted residual methods. More advanced problems are gradually added to this basic knowledge, such as, field problems and solid mechanics problems. Field problems that are studied: heat flow, groundwater flow and Saint Venant torsion. Solid mechanics problems that are studied: stresses and strains, 2 and 3D elasticity, beams and plates. At the end of the course the theory for isoparametric finite elements and numerical integration is introduced. The design assignments illustrate the procedure of transferring a design problem into a model suitable for finite element analysis.

Ottosen, N. & Petersson, H.: Introduction to the Finite Element Method. Prentice Hall, 1992. Olsson, K.-G and Heyden S.: Introduction to the finite element method, problems. Structural Mechanics, Lund 2001. CALFEM ver 3.4 - A finite element toolbox, KFS i Lund AB, 2004.