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Frontiers of Structural and Civil Engineering

Front Struc Civil Eng    2013, Vol. 7 Issue (2) : 178-187     https://doi.org/10.1007/s11709-013-0191-0
RESEARCH ARTICLE
The strength–dilatancy characteristics embraced in hypoplasticity
Zhongzhi FU1(), Sihong LIU2, Zijian WANG2
1. Geotechnical Engineering Department, Nanjing Hydraulic Research Institute, Nanjing 210024, China; 2. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China
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Abstract

The strength-dilatancy characteristics of frictional materials embraced in the hypoplastic model proposed by Gudehus and Bauer are investigated and compared with the revised model suggested by Huang. In the latter the deviatoric stress in the model by Gudehus and Bauer is replaced by a transformed stress according to the stress transformation technique proposed by Matsuoka. The flow rule, the failure state surface equation and the strength-dilatancy relationship embraced in both models are derived analytically. The performance of the two hypoplastic models in reproducing the relationship between the peak strength and the corresponding dilation rate under triaxial compression, plane compression and plane shearing are then extensively investigated and compared with experimental results and with the predictions made by particular classical stress-dilatancy theories. Numerical investigations show that the performance in reproducing the strength-dilatancy relationship is quite satisfactory under triaxial compression stress state in both models and the predictions made by the transformed stress based model are closer to the results obtained from classical stress-dilatancy theories for plane compression and plane shearing problems.

Keywords strength      dilatancy      hypoplasticity      frictional materials     
Corresponding Author(s): FU Zhongzhi,Email:fu_zhongzhi@yahoo.com   
Issue Date: 05 June 2013
 Cite this article:   
Zhongzhi FU,Sihong LIU,Zijian WANG. The strength–dilatancy characteristics embraced in hypoplasticity[J]. Front Struc Civil Eng, 2013, 7(2): 178-187.
 URL:  
http://journal.hep.com.cn/fsce/EN/10.1007/s11709-013-0191-0
http://journal.hep.com.cn/fsce/EN/Y2013/V7/I2/178
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Fig.1  Schematic illustration of the dilatancy in simple shearing
Fig.2  Mobilized friction angle and dilation angle in plane compression problems. (a) Mobilized friction angle (Mohr-Coulomb criterion); (b) dilation angle
Fig.3  Influence of density on the peak friction angle and the dilatancy angle under triaxial compression
Fig.4  The components of the stress tensor and the strain rate tensor. (a) Traxial compression; (b) plane compression; (c) simple shearing
Fig.5  The strength-dilatancy characteristics in triaxial compression. (a) Results by TS_HYPO and Cam-Clay; (b) data from Oda (1972)
Fig.6  The strength-dilatancy relationship in plane compression embraced in TS_HYPO
Fig.7  The strength-dilatancy relationship in plane compression embraced in GB_HYPO
Fig.8  The strength-dilatancy relationship in plane shearing embraced in TS_HYPO
Fig.9  The strength-dilatancy relationship in plane shearing embraced in GB_HYPO
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