Arbitrary orientation of the film material

Suppose that the properties of the film material are given with respect to some natural rectangular 0 22 3—coordinate system referred to the mate- 

The components of the strain tensor, which are when referred to the global coordinate system, can then be expressed with respect to the material coordinate system as 

In the natural material coordinate system, the contracted notation whereby. . .., is merely an alternative way to represent 

In light of (3.34) through (3.36), the components of the full stress tensor 

Finally, the components of the stress tensor in the global coordinate system are given by 

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