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Continuum Mechanics
| Speaker: |
Mark van Kraaij
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| Date: |
Wednesday March 29, 2006 |
| Title: |
Strain and deformation
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Abstract
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In this second seminar on continuum
mechanics we will discuss the topic strain and deformation. First a
continuum configuration is defined which allows us to introduce the
general concept of motion and material derivatives. Through the
deformation gradients we are able to derive the strain and deformation
tensors. Another quantity often encountered in fluid mechanics is the
rate of deformation tensor. Similar to the previous presentation on
stress we can derive principal strains and strain invariants as well as
a polar decomposition. Finally, in the second part of this talk
we will take a look at the linear strain and deformation theory which
neglects the higher order terms. Here also the compatibility equations
will be shown.
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