A Random Field Formulation of Hooke's Law in All Elasticity Classes

作者:Malyarenko Anatoliy*; Ostoja Starzewski Martin
来源:Journal of Elasticity, 2017, 127(2): 269-302.
DOI:10.1007/s10659-016-9613-2

摘要

For each of the 8 symmetry classes of elastic materials, we consider a homogeneous random field taking values in the fixed point set 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.

  • 出版日期2017-4