Talk:Coordinate transformations
Do not use the Voigt notation !
editThe 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
editis 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
editThe élasticity tensor in the : is defined in the : by
and is rotated by: