Mechanical properties anisotropic elastic solid

The mechanical properties of an anisotropic elastic solid for small strains are defined by the generalised Hooke s law... 

The mechanical properties of an anisotropic elastic solid where the stresses are linearly related to the strains are defined by the generalized Hooke s law where each component of stress can relate to all six independent components of strain, and equivalently each component of strain can relate to all six independent components of stress. In the former case we have, for example... 

These matrices define the relationships between stress and strain in a general elastic solid, whose properties vary with direction, that is an anisotropic elastic solid. In most of this book, we will be concerned with isotropic polymers all discussion of anisotropic mechanical properties will be reserved for Chapter 8. 

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