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NFYK10005U Continuum Mechanics
Volume
2015/2016  Language  English   Credit  7,5 ECTS   Level  Full Degree Master   Duration  1 block   Placement  Block 3  Schedule  C   Course capacity  No restriction to number of
participants  Continuing and further
education   Study board  Study Board of Physics, Chemistry and
Nanoscience   Contracting department    Course responsible   Joachim Mathiesen (77064776b6c68764371656c316e7831676e)
  Saved on the
27042015 
Content  In the macroscopic world, most materials that surround us e.g.
solids and liquids can safely be assumed to exist as continua, that
is, the materials completely fill the space they occupy and the
underlying atomic structures can be neglected. The course offers a
modern introduction to the physics of continuous matter with an
emphasis on examples from natural occurring systems (e.g. in the
physics of complex systems and the Earth sciences). Focus is
equally on the underlying formalism of continuum mechanics and
phenomenology. In the course you will become familiar with the
mechanical behavior of materials ranging from viscous fluids to
elastic solids.
A description of the deformation of solids is given, including the
concepts of mechanical equilibrium, the stress and strain tensors,
linear elasticity. A derivation is given of the NavierCauchy
equation as well as examples from elastostatics and elastodynamics
including elastic waves. A description of fluids in motion is given
including the Euler equations, potential flow, Stokes' flow and
the NavierStokes equation. Examples of numerical modeling of
continous matter will be given.  Learning Outcome  Skills
At the conclusion of the course students will be able to use the
fundamental physical laws of mass conservation, conservation of
momentum, and conservation of energy to derive partial differential
equations describing the behavior of objects modeled as a
continuum. The students will be able to calculate the stress and
strain during small deformations of linear elastic materials in
simple geometries as well as basic examples of fluid flow. Knowledge
The student will be able 1) to describe the flow of ideal fluids in
basic idealized systems 2) to describe in detail the NavierStokes
equation and 3) be familiar with stress and strain tensors, linear
elasticity and the NavierCauchy equation Competences
This course will provide the students with a competent background
for further studies within this research field, e.g. an M.Sc.
project.
The course will provide the students with tools that have
application in a range of fields within and beyond
physics.  Literature  To be announced  Teaching and learning methods  Lectures and exercises 
Remarks  Restricted elective for specialisations
"Geophysics" and "Bio and Medical
Physics" 
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Exam  Credit  7,5 ECTS   Type of assessment  Oral examination, 30 min Without preparation time   Aid  Without aids   Marking scale  7point grading scale   Censorship form  No external censorship
More internal examiners    Criteria for exam assesment 
SeeSkills. 

Workload  Category  Hours  Lectures  24  Theory exercises  35  ELearning  0,5  Exam  146,5  Total 
206,0 

Saved on the
27042015

