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Course module: 8MC00
8MC00
Numerical analysis of continua
Course info
Course module8MC00
Credits (ECTS)5
Category-
Course typeBachelor College
Language of instructionDutch
Offered byEindhoven University of Technology; Biomedical Engineering; Soft Tissue Biomechanics;
Is part of
Biomedical Engineering
Contact personprof.dr.ir. C.W.J. Oomens
Telephone2818
E-mailc.w.j.oomens@tue.nl
Lecturer(s)
Contactperson for the course
prof.dr.ir. C.W.J. Oomens
Other course modules lecturer
Subject matter expert
prof.dr.ir. C.W.J. Oomens
Other course modules lecturer
Responsible lecturer
prof.dr.ir. C.W.J. Oomens
Other course modules lecturer
Co-lecturer
dr.ir. M.C. van Turnhout
Other course modules lecturer
Academic year2017
Period
1  (04/09/2017 to 12/11/2017)
Starting block
1
TimeslotD: D - We 5-8, Th 9-10, Fr 1-4
Course mode
Fulltime
Remarks-
Registration openfrom 15/06/2017 up to and including 27/08/2017
Application procedureYou apply via OSIRIS Student
Explanation-
Registration using OSIRISYes
Registration open for students from other department(s)Yes
Pre-registrationNo
Waiting listNo
Number of insufficient tests-
Number of groups of preference0
Learning objectives
After passing the course, the student is able to:
  1. Apply the basic concepts of the Finite element methods (FEM) when theoretically working out an element.
  2. Show insight in the possibilities and limitations of the FEM, by performing a stability analysis.
  3. Translate the knowledge of the basic principles of the FEM to a computer code in MATLAB and come up with some problems to test the code.
  4. Integrate the knowledge of the FEM when modelling realistic problems from Biomedical Engineering, using the given FEM software.
Content
  • Solution of the one-dimensional diffusion equation by means of FEM / Weighted residual formulation / weak form / interpolation / Galerkin method /isoparametric elements /numerical integration
  • Solution of the one-dimensional convection diffusion equation by means of FEM / temporal discretization / spatial discretization / Peclet number
  • Three dimensional convection/diffusion equation / divergence theorem / isoparametric elements in 2 and 3 D
  • Shape functions and numerical integration / triangular elements / higher order elements / Gauss integration
  • Infinitesimal strain elasticity problems
     
Entrance requirements
Entrance requirements tests
-
Assumed previous knowledge
Basis kennis van continuums mechanica, lineaire algebra, differentiaal vergelijkingen.
Previous knowledge can be gained by
• 8MB00/8TB00 - Continuum mechanics
Resources for self study
-
Short promotional description of the course
Het vak behandelt het numeriek (met een computer) oplossen van partiële differentiaal vergelijkingen, o.a. de (convectie)diffusievergelijking en de evenwichtsvergelijkingen voor vaste stoffen. Verder wordt ingegaan op problemen die een rol spelen bij incompressibel gedrag. Daarbij wordt gebruik gemaakt van de Eindige Elementen Methode. De beginselen van de methode worden uitgelegd en toegepast op eenvoudige problemen met behulp van een in MATLAB geschreven code.
Short promotional description of the course
The course is focussed on the numerical solution (by means of a computer) of Partial Differential Equations, comprising the (convection) diffusion equation, equilibrium equations for solids . Problems related to incompressible materials will be discussed. The used method is the Finite Element Method. In the course the basics of the method are explained and applied to simple problems by means of a FEM code in MATLAB. The course is especially aimed at students with an interest in Biomechanics.
Bachelor College or Graduate School
Bachelor College
Required materials
-
Recommended materials
Matlab 2013 / 2014 a en 2014b
http://www.mathworks.nl/support/sysreq/roadmap.html (Mathworks)
Programma: mlfem_nac / MATLAB / manual bij software
Hoofdstuk 14 t/m 18 van boek: Biomechanics: Concepts and Computation, C.Oomens, M.Brekelmans, F.Baaijens , Cambridge University Press, 2009.
Reader over oplossen Navier Stokes Vergelijking
Instructional modes
Guided selfstudy

General
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Remark
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Lecture

General
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Remark
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Tests
Assignment 1
Test weight5
Minimum grade6
Test typeInterim examination
Number of opportunities1
OpportunitiesBlock 1
Test duration in minutes-

Assessment
-

Remark
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Assignment 2
Test weight5
Minimum grade6
Test typeInterim examination
Number of opportunities1
OpportunitiesBlock 1
Test duration in minutes-

Assessment
-

Remark
-

Assignment 3
Test weight10
Minimum grade6
Test typeInterim examination
Number of opportunities1
OpportunitiesBlock 1
Test duration in minutes-

Assessment
-

Remark
-

Written examination
Test weight80
Minimum grade5.5
Test typeFinal examination
Number of opportunities2
OpportunitiesBlock 1, Block 2
Test duration in minutes-

Assessment
-

Remark
-

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