Open AccessModeling of random anisotropic elastic media and impact on wave propagation
Author(s) -
Quang-Anh Ta,
Didier Clouteau,
Régis Cottereau
Publication year - 2010
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.19.241-253
Subject(s) - anisotropy , statistical physics , gaussian , random field , index (typography) , field (mathematics) , tensor (intrinsic definition) , physics , mathematics , computer science , geometry , optics , statistics , quantum mechanics , pure mathematics , world wide web
The class of stochastic non-gaussian positive-definite fields with minimal parameterization proposed by Soize (Soize, 2006) to model the elasticity tensor field of a random anisotropic material shows an anisotropy index which grows with the fluctuation level. This property is in contradiction with experimental results in geophysics where the anisotropy index remains limited whatever the fluctuation level. Hence, the main purpose of this paper is to generalize the Soize’s model in order to account independently for the anisotropy index and the fluctuation level. It is then shown that this new model leads to major differences in the wave propagation regimes.