Talk:Coordinate transformations

Do not use the Voigt notation !

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The projection of second order tensor in the orthonormal base is not the Voigt one. I think it's a better idea to introduce real base.

 
 
 
 
 
 

The stress and strain tensors are now defined by :

 

and

 

Then once constructs the bound matrix in the orthonormal base  

 

with

  the rotation matrix in   base.

Example

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is the rotation along the axis   in the :  base

The associated rotation in the   base is :

 

The rotation of a second order tensor is now defined by :

 

Four order tensor

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The élasticity tensor   in the :  is defined in the  :  by

 

and is rotated by:

 
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