Journal Published Online: 07 January 2022
Volume 50, Issue 3

Dilatancy Equation and Yield Function for Granular Materials Based on Energy Accumulation

CODEN: JTEVAB

Abstract

The dilatancy equation and yield function are the two important components of the elastoplastic constitutive model for soils. Because the incremental energy equations of the Cam-Clay and Rowe models do not consider the particle breakage energy, the predicted dilatancy for the granular materials is not convincing. Accordingly, the total input energy during shearing, Es, is taken as the equivalent of the energy equation, and Es is found to be directly proportional to the shearing strain, εs. The slope, K, of the Esεs line is theoretically induced and experimentally demonstrated to be equal to the critical shear stress, qc. Thus, a new dilatancy equation and yield function are derived and preliminarily verified using different kinds of granular materials, e.g., calcareous sand, gravel, and rockfill. The shape of the proposed yield surface can be adjusted automatically from bullet-shaped to drop-shaped with an increasing Mc, which is better for expressing the yielding behavior of granular materials. Additionally, another significant advantage of the proposed dilatancy equation and yield function is that no additional fitting or nonphysical parameters except Mc (critical stress ratio) is included, whereas the predictions for the granular materials are still satisfactory.

Author Information

Guo, Wanli
Geotechnical Engineering Department, Nanjing Hydraulic Research Institute, Nanjing, China
Chen, Ge
Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, China
Wang, Junjie
Key Laboratory for Hydraulic and Waterway Engineering of Ministry of Education, Chongqing Jiaotong University, Chongqing, China
Jian, Fuxian
Geotechnical Engineering Department, Nanjing Hydraulic Research Institute, Nanjing, China
Pages: 16
Price: $25.00
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Details
Stock #: JTE20210384
ISSN: 0090-3973
DOI: 10.1520/JTE20210384