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Course module: 8MB00
8MB00
Continuum mechanics
Course info
Course module8MB00
Credits (ECTS)5
Category3 (Advanced)
Course typeBachelor College
Language of instructionDutch
Offered byEindhoven University of Technology; Biomedical Engineering; Orthopaedic Biomechanics;
Is part of
Biomedical Engineering
Pre-master program Biomedical Engineering
Contact persondr.ir. B. van Rietbergen
Telephone4773
E-mailb.v.rietbergen@tue.nl
Lecturer(s)
Co-lecturer
dr.ir. P.H.M. Bovendeerd
Other course modules lecturer
Subject matter expert
dr.ir. B. van Rietbergen
Other course modules lecturer
Responsible lecturer
dr.ir. B. van Rietbergen
Other course modules lecturer
Contactperson for the course
dr.ir. B. van Rietbergen
Other course modules lecturer
Academic year2017
Period
2  (13/11/2017 to 04/02/2018)
Starting block
2
TimeslotD: D - We 5-8, Th 9-10, Fr 1-4
Course mode
Fulltime
Remarks-
Registration openfrom 15/06/2017 up to and including 15/10/2017
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 has understanding of:
  1. Vector- and tensor calculation and can solve questions from the continuums mechanics.
  2. The basics of force- and moment equilibrium on static problems and can solve 2-D and 3-D problems.
  3. The concept of 1-D equilibrium equation for elastic materials and can solve a 1-D equilibrium equation with different preconditions.
  4. The deformation rate tensor, spin tensor and the velocity gradient tensor and can use these when solving solid and liquid problems.
  5. The stress tensor and equilibrium equations and can apply and interpret these when deriving stress on an arbitrary plane and calculating equivalent stresses.
  6. Spatial and material time derivative and uses these when describing the motion through space.
  7. The concepts deformation- and strain tensor and van derive these for simple problems from continuums mechanics.
  8. The concepts isotropic solids and Newtonian liquids and can describe the constructive behavior of isotropic solids and Newtonian liquids for small and large deformations and derive strains and stresses based on the given deformation.
Content
  • Vector calculus/ vector operations /decomposition with respect to a basis
  • Concepts of Force and Moment / Newton's laws /tensor- en matrix notation / drawing conventions
  • Equilibrium of force and momentum / free body diagrams
  • Analysis of a 1-D-continuum / strain /stress /material behaviour
  • Tensor calculus / vector field /rigid body rotation
  • Stress 3D/ equilibrium equations / principal stresses / Von Mises stresses / Mohr's circles
  • Motion / time as an extra dimension / Lagrange and Eulerian description / spatial and time time derivatives / displacement vector / gradient operator
  • Deformation and rotation/ rektensors /volume change
  • Constitutive behaviour of solids and fluids / (in) compressibel Neo Hookean behaviour, Newtonian fluids.
Entrance requirements
Entrance requirements tests
-
Assumed previous knowledge
• 2WBB0 - Calculus variant B
• 8VB40 - Systems in time and space
Previous knowledge can be gained by
-
Resources for self study
-
Short promotional description of the course
Het vak behandelt de basis van de continuumsmechanica. Na een inleiding over vector- en tensorrekening wordt er ingegaan op krachten- en momentenevenwicht, kinematica, spanningen en rekken. Daarnaast worden beginselen van materiaalgedrag voor vaste stoffen en vloeistoffen behandeld. Het vak is de basis voor iedereen die geïnteresseerd is in ontwerp van prothesen en orthesen, medical devices, cardiovasculaire problemen, orthopedie, bewegingsleer.
Short promotional description of the course
The course comprises the basics of continuum mechanics. After an introduction on vector and tensor calculus, equilibrium of forces and moments, kinematics, stresses and strains will be introduced. In addition an introduction to material behaviour for solids and fluids will be given. The course is the basis for everyone interested in design of prostheses and ortheses, medical devices, cardiovascular problems, orthopaedics and movement science.
Bachelor College or Graduate School
Bachelor College
Required materials
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Recommended materials
Biomechanics: Concepts and Computation - Cees Oomens, Marcel Brekelmans, Frank Baaijens, Cambridge University Press, 2009
Extra oefenopgaven aangeboden via website.
Instructional modes
Assignment

General
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Remark
1x per week an assignment that is to be made and hand in during the guided selfstudy.
Guided selfstudy

General
-

Remark
-
Lecture

General
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Remark
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Tests
Interum assignment
Test weight20
Minimum grade-
Test typeInterim examination
Number of opportunities1
OpportunitiesBlock 2
Test duration in minutes-

Assessment
-

Remark
-

Written examination
Test weight80
Minimum grade5
Test typeFinal examination
Number of opportunities2
OpportunitiesBlock 2, Block 3
Test duration in minutes-

Assessment
-

Remark
-

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