The Finite Element Method, FHL064 Division of Solid Mechanics Course program, vt2, 20 Course description The finite element method (FEM) is a numerical method able to solve differential equations, i.e. boundary value problems. The method is today the most powerful numerical method within solid mechanics; this since arbitrary geometries and complex material models can be treated. Within the modern industry the finite element method is the key factor in many construction phases. Since the method is a solution method for any partial differential equations it can be used for any problem that is controlled by field equations, for instance heat conduction, diffusion, electromagnetism and solid mechanics. The emphasis in the course in placed on the understanding of the fundamental principles of FEM and its numerical formulation. During the course the participants implement their own finite element program and thereby gain understanding of the method in detail. Lectures Ralf Denzer, Division of Solid Mechanics, ralf.denzer@solid.lth.se, Tel. 046-222 7 3 Problem sessions Johan Hektor, Johan.Hektor@solid.lth.se Wureguli Reheman, Wureguli.Reheman@solid.lth.se Viktor Jönsson Course literature 1. Ottosen, Niels Saabye and Petersson, Hans: Introduction to the Finite Element Method, Prentice Hall. The course book can be bought at KFS. 2. Wallin, Mathias: Introduction to the Finite Element Method- Exercises, Solid Mechanics, 20. The exercises can be downloaded from the course website. Additional notes on transient problems are available at the course home-page. CALFEM-manual, computer program for learning the finite element method, Structural Mechanics and Solid Mechanics, Lund 1. The Matlab-toolbox CALFEM can be downloaded from our homepage (www.solid.lth.se). Assignment The course includes a mandatory assignment. The assignment is performed in groups of two, or individually. The assignment shall be handed in not later than May 26 at.00. The assignment will be graded with up to 5 points which can be added to the points obtained at the
exam May 30. Note that the bonus points are only valid at the exam May 30, 20. A report that is handed in after May 26 will be given 0 points. The report must be approved not later than June. Submission You should submit your report in PDF format to FHL064@solid.lth.se. In addition to your report you should also attach your m-files in the email. Moreover, a paper version should also be handed in to the Division of Solid Mechanics. Examination The examination of the course consists of a final examination and an assignment. The amount of points to pass the exam is 30. Total amount of points is 60. The exam takes place May 30, time h - h, room Vic:1-HELA, Vic:2A, Vic:2B Preliminary lecture schedule Lecture 1 23/3 Introduction to FE-analysis, Chap. 1 and Chap. 2 Lecture 2 25/3 Chap. 3 Lecture 3 26/3 Chap. 4 Lecture 4 30/3 Chap. 5 Lecture 5 /4 Chap. 6, Chap. 7 (1D) Lecture 6 /4 Chap. 7 (3D), Chap. Lecture 7 /4 Chap. Lecture /4 Chap. + Transient heat flow, Chap. Lecture /4 Chap. and Lecture 20/4 Chap. and Lecture 22/4 Chap. 1 Lecture 23/4 Chap. 20 Lecture 27/4 Chap. Lecture 2/4 Reserved Lecture 20/5 Guest lecture. P-O Sturesson, Noice and Vibration Center, Volvo Exercises Exercise 1 Chap. 2 Exercise 2 Chap. 3 Exercise 3 Chap. 4 Exercise 4 Chap. 5, Chap. 6 Exercise 5 Chap. 7, Chap. Exercise 6 Chap. (not.4 and.5) Exercise 7 Chap. Exercise.4,.5 and Chap.
Exercise Chap., Chap. Exercise Chap., Chap. Exercise Chap. 1 Exercise Chap. 20 Exercise Chap. Exercise Consultation Course Schedule See next pages
v Måndag 23/3 Tisdag 24/3 Onsdag 25/3 75, E4, E:B, FHL064, Finita Torsdag 26/3 Fredag 27/3 Lördag 2/3 Söndag 2/3 75, E4, E:B, FHL064, Finita :00 MA:MA02, v Måndag 30/3 Tisdag 31/3 Onsdag 1/4 Torsdag 2/4 Skärtorsdag Långfredag Fredag 3/4 Påskafton Lördag 4/4 Påskdagen Söndag 5/4 MA:MA02, DatorÖvn Förel Tentamen Övn Information TimeEdit 20-03- :32 1/5
v Måndag 6/4 Annandag påsk Tisdag 7/4 Onsdag /4 75, E4, E:B, FHL064, Finita Torsdag /4 75, E4, E:B, FHL064, Finita Fredag /4 Lördag /4 Söndag /4 :00 elementmetoden, M3, M:L2, v Måndag /4 Tisdag /4 Onsdag /4 75, E4, E:B, FHL064, Finita Torsdag /4 Fredag /4 Lördag 1/4 Söndag 1/4 75, E4, E:B, FHL064, Finita :00 MA:MA02, elementmetoden, M3, M:L2, DatorÖvn Förel Tentamen Övn Information TimeEdit 20-03- :32 2/5
v Måndag 20/4 Tisdag 21/4 Onsdag 22/4 75, E4, E:B, FHL064, Finita Torsdag 23/4 Fredag 24/4 Lördag 25/4 Söndag 26/4 75, E4, E:B, FHL064, Finita :00 MA:MA02, elementmetoden, M3, M:L2, v 1 Måndag 27/4 Tisdag 2/4 Onsdag 2/4 75, E4, E:B, FHL064, Finita Torsdag 30/4 Fredag 1/5 Första Maj Lördag 2/5 Söndag 3/5 75, DatorÖvn, E4, FHL064, Finita elementmetoden, M3, M:Ina3-4, :00 MA:MA02, 75, DatorÖvn, E4, FHL064, Finita elementmetoden, M3, M:Ina3-4, DatorÖvn Förel Tentamen Övn Information TimeEdit 20-03- :32 3/5
v 20 Måndag /5 Tisdag /5 Onsdag /5 Torsdag /5 Kristi Himmelsfärdsdag Fredag /5 Lördag /5 Söndag /5 :00 :00 v 21 Måndag 1/5 Tisdag 1/5 Onsdag 20/5 75, BME4-br, E4, F3, FHL064, FHLF01, FHLF, Finita elementmetoden, Finita elementmetoden och introduktion Torsdag 21/5 Fredag 22/5 Lördag 23/5 Söndag 24/5 Pingstdagen :00 :00 elementmetoden, M3, M:L2, DatorÖvn Förel Tentamen Övn Information TimeEdit 20-03- :32 4/5
v 22 Måndag 25/5 Tisdag 26/5 Onsdag 27/5 Torsdag 2/5 Fredag 2/5 Lördag 30/5 Söndag 31/5 75, BME4-br, E4, F3, FHL064, FHL064-02, FHLF01, FHLF01-02, FHLF, FHLF- 05, Finita elementmetoden, Finita elementmetoden och introduktion till materialmekanik, M3,, Pi3, Tentamen, Vic:1-HELA, Vic:2A-B v 23 Måndag 1/6 Tisdag 2/6 Onsdag 3/6 Torsdag 4/6 Fredag 5/6 Lördag 6/6 Nationaldagen Söndag 7/6 DatorÖvn Förel Tentamen Övn Information TimeEdit 20-03- :32 5/5