TY  - JOUR
A1  - Niemunis, Andrzej
A1  - Staszewska, Katarzyna
T1  - Pure cross-anisotropy for geotechnical elastic potentials
Y1  - 2021-07-28
VL  - 17
IS  - 5
SP  - 1699
EP  - 1717
JF  - Acta Geotechnica
DO  - 10.1007/s11440-021-01284-9
PB  - Springer Berlin Heidelberg
N2  - The pure cross-anisotropy is understood as a special scaling of strain (or stress). The scaled tensor is used as an argument in the elastic stiffness (or compliance). Such anisotropy can be overlaid on the top of any elastic stiffness, in particular on one obtained from an elastic potential with its own stress-induced anisotropy. This superposition does not violate the Second Law. The method can be also applied to other functions like plastic potentials or yield surfaces, wherever some cross-anisotropy is desired. The pure cross-anisotropy is described by the sedimentation vector and at most two constants. Scaling with more than two purely anisotropic constants is shown impossible. The formulation was compared with experiments and alternative approaches. Static and dynamic calibration of the pure anisotropy is also discussed. Graphic representation of stiffness with the popular response envelopes requires some enhancement for anisotropy. Several examples are presented. All derivations and examples were accomplished using the algebra program Mathematica.
UR  - http://resolver.sub.uni-goettingen.de/purl?gldocs-11858/11076
ER  -