Modeling of random anisotropic elastic media and impact on wave propagation

Quang-Anh Ta (1) , Didier Clouteau (1) , Régis Cottereau (1)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux

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.

Keywords: Wave in random medium; anisotropy; random fields

Domains: Physics [physics]; Mechanics [physics]; Mechanics of materials [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Mechanics of materials [physics.class-ph]

Quang-Anh Ta, Didier Clouteau, Régis Cottereau. Modeling of random anisotropic elastic media and impact on wave propagation. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2010, 19 (1-3), pp.241-253. ⟨10.3166/ejcm.19.241-253⟩. ⟨hal-00709537⟩