Talk:Coordinate transformations

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Do not use the Voigt notation ![edit source]

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 :


Then once constructs the bound matrix in the orthonormal base


the rotation matrix in base.

Example[edit source]

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[edit source]

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

and is rotated by: