This paper presents a mathematical framework for modeling the creep phenomenon in frictional materials exhibiting a strong inherent anisotropy. The instantaneous time-independent response is described by invoking a plasticity framework which incorporates a scalar anisotropy parameter. The latter is a function of mixed invariants of the stress and microstructure tensors. The creep is assumed to be associated with progressive rearrangement of material structure. The evolution of the elastic compliance is established based on a homogenization procedure for periodic media. In the plastic range, the problem is formulated in terms of evolution of the eigenvalues of the microstructure tensor, while the eigenvectors are preserved. The framework is applied to investigate the creep characteristics of sedimentary rocks, which exhibit a transverse isotropy. In particular, a numerical analysis is carried out to examine the basic trends in the mechanical response of Tournemire shale.
Description of Creep in Inherently Anisotropic Frictional Materials
Journal of Engineering MechanicsJuly 2002
Journal of Engineering MechanicsDecember 1990
International Journal of GeomechanicsApril 2011
Professor, Dept. of Civil Engineering, McMaster Univ., 1280 Main St. West, Hamilton ON, Canada L8S 4L7.
Dr. hab., Wroclaw Univ. of Technology, Inst. of Geotechnics and Hydrotecnics, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland.
Professor, Univ. of Science and Technology of Lille, LML, Cite Scientifique, 59655 Villeneuve d’Ascq, France.
Received: July 11, 2002
Accepted: June 27, 2003
Published online: May 14, 2004
Copyright © 2004 American Society of Civil Engineers