Three-Dimensional Noncoaxial Plasticity Modeling of Shear Band Formation in Geomaterials
Publication: Journal of Engineering Mechanics
Volume 134, Issue 4
Abstract
Accurate prediction of shear band formation in geomaterials is crucial in the solution of various stability problems in geotechnical engineering. The initiation of shear band is strongly dependent on the constitutive description of the prelocalization homogeneous deformation. Conventional plasticity models assume that coaxiality exists between the directions of principal stresses and the directions of plastic strain increments. Accumulating evidence has however shown that this assumption is not appropriate. In this paper, a noncoaxial constitutive modeling platform is presented in a general three-dimensional stress space. It is shown that the classical vertex-like structure, which has been widely adopted to describe the noncoaxial constitutive response, only represents the two-dimensional condition. Examples are presented to demonstrate the capability of the modeling platform in capturing the initiation and orientation of shear band in a granular soil. The significance of the noncoaxiality effects is illustrated by comparisons of the predictions produced by coaxial and noncoaxial (both two-dimensional and three-dimensional) plasticity models.
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Acknowledgments
The financial support provided by the National Natural Science Foundation of China (Grant Nos. NNSFC10402029 and NNSFC50179025), the Key Laboratory of Rock and Soil Mechanics of the Institute of Rock and Soil Mechanics, the Chinese Academy of Sciences (Grant No. CASZ110401), and the Research Grants Council of Hong Kong is acknowledged.
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© 2008 ASCE.
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Received: Nov 22, 2006
Accepted: Aug 17, 2007
Published online: Apr 1, 2008
Published in print: Apr 2008
Notes
Note. Associate Editor: George Z. Voyiadjis
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