Ellipsoidal anisotropy in elasticity for rocks and rock masses

Ahmad Pouya (1) , Michel Chalhoub (2)

1 LCPC/MSRGI - Division Mécanique des Sols des Roches et de la Géologie de l'Ingénieur
2 GEOSCIENCES - Centre de Géosciences

One of the interesting features with the ellipsoidal models of anisotropy presented in this paper is their acceptance of analytical solutions for some of the basic elasticity problems. It was shown by Pouya (2000) and Pouya and Zaoui (2006) that many closed-form solutions for basic problems involving linear isotropic materials could be extended by linear transformation to cover a variety of "ellipsoidal" materials. This paper will describe two main varieties of ellipsoidal elastic models and show how well they fit the in situ data for sedimentary rocks; numerical homogenization results for several varieties of fractured rock masses will also be provided.

Mots clés: anisotropy; elasticity; rock masses

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Ahmad Pouya, Michel Chalhoub. Ellipsoidal anisotropy in elasticity for rocks and rock masses. ISRM2007, 11th Congress of the International Society for Rock Mechanics, Jul 2007, Lisbon, Portugal. pp.251-254. ⟨hal-00576689⟩