Acta Geotechnica

, Volume 14, Issue 6, pp 1871–1881 | Cite as

Stress–dilatancy relationship for fiber-reinforced sand and its modeling

  • Yuxia KongEmail author
  • Annan Zhou
  • Feifan Shen
  • Yangping Yao
Research Paper


The stress–dilatancy relationship could be employed as the foundation to develop a constitutive model for polypropylene fiber-reinforced (PFR) soils. In this study, a number of triaxial compression tests were carried out to investigate the effect of uniform distributed fiber reinforcements on the stress dilatancy relationship of Nanjing sand. A new parameter representing the increase in the effective confining stress \(\sigma _{\rm FR}\) was introduced to describe the stress–dilatancy of PFR sand, and a new stress–dilatancy relationship was proposed for PFR sand based on Rowe’s stress–dilatancy equation for granular materials. Moreover, the stress–dilatancy relationships in the conventional triaxial compression, extension and plane stain conditions were discussed in this paper. The stress–dilatancy relationship is validated against a series of triaxial tests on Nanjing sand and Hostun RF sand mixed with discrete polypropylene fibers. It is shown that the predicted results are in a good agreement with the experimental results.


Fiber reinforcement Sand Stress dilatancy Triaxial testing 



The authors would like to acknowledge the supports provided by the National Natural Science Foundation of China (No. 11402109) and the Natural Science Foundation of Jiangsu Province (No. BK20130909). The authors appreciate the comments made by the reviewer which help improve the quality of the manuscript. The authors would like to thank Dr. Dan Su, Dr. Zhu Song and Dr. Weiyun Chen for valuable comments and suggestions on the paper. Yuxia Kong thanks the China Scholarship Council for supporting her time in residence at RMIT University under visiting scholar award 201808320020.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Geotechnical EngineeringNanjing Tech UniversityNanjingChina
  2. 2.School of EngineeringRoyal Melbourne Institute of TechnologyMelbourneAustralia
  3. 3.Department of Civil EngineeringBeihang UniversityBeijingChina

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