A random field formulation of Hooke's law in all elasticity classes

Abstract

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 field's spectral expansion.

Modified version, typos corrected, 100 pages, 1 figure

References in corpus (1)

• A random field formulation of Hooke's law in all elasticity classes

Cited by in corpus (3)

• A random field formulation of Hooke's law in all elasticity classes
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