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Advances in Materials Science and Engineering
Volume 2018, Article ID 4620101, 15 pages
Research Article

Investigation on the Nonlinear Strength Properties and Damage Statistical Constitutive Model for Frozen Sandy Soils

1Northwest Institute of Eco-Environment and Resources, State Key Laboratory of Frozen Soil Engineering, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China
2University of Chinese Academy of Sciences, Beijing 100049, China
3State Key Laboratory of Hydraulics and Natural River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu, Sichuan 610065, China

Correspondence should be addressed to Enlong Liu;

Received 11 September 2017; Accepted 27 November 2017; Published 11 March 2018

Academic Editor: Andres Sotelo

Copyright © 2018 De Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


There are many flaws, such as fissures, cavities, and inclusions, in geomaterials, which make their mechanical properties with great randomness and uncertainty. Upon loading, the soil structure gradually losses the bearing capacity due to the transformation from microdefects to macroscopic breakage bands. Based upon the experimental data of frozen sandy soils, a new nonlinear strength equation between the first and third principal stresses was proposed, and then the nonlinear strength properties for frozen sandy soils in σ-τ plane were analyzed. In addition, by assuming that the microstrength of frozen sandy soil obeys the Weibull distribution function, a statistical damage constitutive model was established based upon the framework of continuum damage mechanics (CDM), with few parameters and a high accuracy. Compared with experimental data, the new model can well grasp the nonlinear strength properties and simulate the stress-strain relationships under different confining pressures for frozen sandy soils.