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Register a new userA random field formulation of Hookes law in all elasticity classes
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Added by
Anatoliy Malyarenko
Publication date
2016
fields
Physics
and research's language is
English
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For each of the $8$ isotropy classes of elastic materials, we consider a homogeneous random field taking values in the fixed point set $mathsf{V}$ of the corresponding class, that is isotropic with respect to the natural orthogonal representation of a group lying between the isotropy group of the class and its normaliser. We find the general form of the correlation tensors of orders $1$ and $2$ of such a field, and the fields spectral expansion.
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