Acta Mechanica

, Volume 230, Issue 5, pp 1869–1889 | Cite as

Constitutive model of frozen-soil dynamic characteristics under impact loading

  • Tiantian Fu
  • Zhiwu ZhuEmail author
  • Chenxu Cao
Original Paper


To reveal the dynamic mechanical behavior of frozen soil under impact loading, nine groups of frozen-soil samples (the initial moisture content was 20%) under different experimental conditions are tested using the split Hopkinson pressure bar. In this study, a constitutive model for predicting the dynamic strength and compression deformation of frozen soil subjected to impact loading is developed. The model is derived from continuous fracture mechanics, and we assume that frozen soil is a continuous medium with preexisting microcracks. According to the modified Drucker–Prager criterion, a dynamic constitutive model coupled with the plastic and damage phase is established to describe the dynamic mechanical behavior of frozen soil before the peak stress. Considering the post-peak curve, the statistical significance of the uniform stress–strain relationship is not established; therefore, a cohesive crack model is used to model the frozen-soil softening process. Using a comparison, we find that the results of the experiment agree well with the calculated results; thus, the feasibility of the model is proven.


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This work was supported by the National Key Research and Development Program of China (2016YFB1200505), the National Natural Science Foundation of China (11672253), and the Applied Basic Research Project of Science and Technology Department of Sichuan Province, China (2017JY0221).


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Copyright information

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

Authors and Affiliations

  1. 1.State Key Laboratory of Traction PowerSouthwest Jiaotong UniversityChengduChina
  2. 2.Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and EngineeringSouthwest Jiaotong UniversityChengduChina

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