On failure criteria for anisotropic cohesive‐frictional materials

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Anisotropic UH model for soils based on a simple transformed stress method (2017, methodology): “The most direct method is to use the fabric tensor to modify the strength or stiffness parameters in the models to be variables with the loading direction [15-23].”
A generalized anisotropic failure criterion for geomaterials (2010, background): “Higher-order fabric tensors have also been suggested for the description of fabric based on various justifications (Oda, 1984; Pietruszczak and Mroz, 2001).”
Stress-induced anisotropy in granular materials: fabric, stiffness, and permeability (2015, unknown): “That is, if the fabric is characterized by tensor a (perhaps chosen from the list in Table 1), then (a : σ)(2) = (a : a)(σ : σ), (ȧ : σ)(2) = (ȧ : ȧ)(σ : σ), and (a : σ̇)(2) = (a : a)(σ̇ : σ̇), as in [51].”
Description of soil anisotropy based on multi‐laminate framework (2001, methodology): “Their distribution may be expressed by using a representation analogous to that employed in References [10,11]:”