岩土力学 ›› 2023, Vol. 44 ›› Issue (5): 1309-1318.doi: 10.16285/j.rsm.2022.0953

• 基础理论与实验研究 • 上一篇    下一篇

填土应力路径下珊瑚砂幂律应力-应变模型的适用性研究

张季如,郑颜军,彭伟珂,王磊,陈敬鑫   

  1. 武汉理工大学 土木工程与建筑学院,湖北 武汉 430070
  • 收稿日期:2022-06-22 接受日期:2022-08-08 出版日期:2023-05-09 发布日期:2023-04-30
  • 作者简介:张季如,男,1964年生,博士,教授,博士生导师,主要从事岩土工程方面的教学和科研工作
  • 基金资助:
    国家自然科学基金项目(No. 42172295)

Applicability of power-law stress-strain model for coral sand under earth fill stress path

ZHANG Ji-ru, ZHENG Yan-jun, PENG Wei-ke, WANG Lei, CHEN Jing-xin   

  1. School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan, Hubei 430070, China
  • Received:2022-06-22 Accepted:2022-08-08 Online:2023-05-09 Published:2023-04-30
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (42172295).

摘要:

岛礁工程建设常用珊瑚砂吹填地基或作为土工构筑物的填料。珊瑚砂在填筑期的应力路径具有静止土压力系数K固结和等应力比路径的特点,为了准确预估填筑期的填土变形量,需要建立能够反映填土应力路径影响的变形计算模型。根据广义虎克定律,建立了幂律形式的非线性弹性模型来描述土体的应力-应变关系,提出了变形参数的表达式。对珊瑚砂开展了K固结试验和等应力比路径下的排水三轴压缩试验,分析了珊瑚砂的应力-应变曲线和颗粒破碎状况,研究了幂律应力-应变模型的适用性,并将模型计算结果与试验曲线进行了对比。结果表明:填土路径下的应力-应变曲线具有幂函数曲线形式,可以用幂律非线性弹性模型来描述。模型的切线模量和切线泊松比均可以表示为轴向有效应力的函数,并通过与主应力比或系数K相关的参数得到表达。等应力比路径下的切线泊松比和切线模量随着轴向有效应力的增加而增大。在相同的轴向有效应力条件下,主应力比越大,切线模量越大,切线泊松比越小。随着轴向有效应力的增加,K固结珊瑚砂的静止土压力系数和切线泊松比减小,切线模量增大。在试验应力范围内,填土路径下珊瑚砂的颗粒破碎量都很小,对应力-应变特性的影响不大。幂律模型合理地预测了一定主应力比值范围内等应力比路径下珊瑚砂的应力-应变曲线,并能够考虑应力路径对应力-应变关系的影响。

关键词: 幂律应力-应变模型, 应力路径三轴试验, 珊瑚砂, 等应力比路径, K0 固结

Abstract: Coral sands are commonly used in hydraulic fill foundations and as subgrade fill in the construction of islands and reefs. The stress paths followed by soil consolidation or filled subgrade are characterized by K0 consolidation or constant stress ratio path. It is necessary to develop a computational model that reflects the effect of stress path on deformation in order to accurately estimate soil deformation during the filling process. Based on the generalized Hooke's law, a nonlinear elastic model in the form of a power function is proposed to describe the stress-strain curve of coral sand, and the functional expression is given. A series of K0 consolidation tests and drained triaxial compression tests with a constant stress ratio path is conducted on the coral sand to investigate the stress-strain curves and the behavior of particle breakage. The applicability of the power-law stress-strain model for the coral sand under the earth fill stress path is investigated, and the calculated results of the model are compared with the test curves. The results show that the stress-strain curves under both K0 consolidation and constant stress ratio paths conform to the form of power-law curves and can be described by a power-law nonlinear elastic model. The tangent modulus and tangent Poisson's ratio of this model can be expressed as a function of axial effective stress and can be determined by parameters related to the principal stress ratio or K0 coefficient. Under a constant stress ratio path, the tangent Poisson's ratio and tangent modulus increase with the increase of the axial effective stress. For the same axial effective stress condition, a large principal stress ratio corresponds to a large tangent modulus and a small tangent Poisson's ratio. With the increase of the axial effective stress under the condition of K0 consolidation, the coefficient of earth pressure at rest and tangent Poisson's ratio decrease, while the tangent modulus increases. Under the stress paths of K0 consolidation and constant stress ratio, the amount of particle breakage of coral sand within the test stress range is very small and therefore has little effect on the stress-strain curve. Under the constant stress ratio path, the stress-strain curve of coral sand in a certain stress ratio range can be reasonably predicted by the power function model, in which the effects of different constant stress ratio paths on the stress-strain relationship are considered.

Key words: power-law stress-strain model, triaxial stress path test, coral sand, constant stress ratio path, K0 consolidation

中图分类号: TU 411
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