摘要
针对工程中大量存在的平面应变问题,依据平面应变条件和广义胡克定律,基于SMP、Lade-Duncan、AC-SMP和广义Mises强度准则,推导出考虑中主应力及泊松比影响的无黏性土主、被动土压力计算公式,并将其扩展至黏性土,讨论基于各强度准则土压力计算公式的适用范围。结果表明:考虑中主应力对土强度的贡献后,基于各强度准则所计算的主动土压力均小于朗肯主动土压力,被动土压力均大于朗肯被动土压力;主动土压力Pa随着泊松比的增大而减小,被动土压力PP随着泊松比的增大而增大,且泊松比越大,与实测数据更为接近;基于同一强度准则下得到的主、被动土压力适用的内摩擦角范围随着泊松比的增大而增大;基于各强度准则的土压力计算公式均能较好的描述挡土结构上土压力的大小,其中广义Mises强度准则计算结果与实际工程更为吻合,研究成果可为挡土结构上土压力的计算提供一定理论参考。
In view of plane strain problems in engineering,according to the plane strain condition and the generalized Hooke's law,formulas for calculating the active and passive earth pressures of noncohesive soil considering the influences of intermediate principal stress and Poisson's ratio were derived on the basis of the SMP,Lade-Duncan,AC-SMP,and generalized Mises strength criteria.Then,the formulas were extended to cohesive soil,and the application range of each formula was discussed on the basis of different strength criteria.Results show that after considering the contribution of intermediate principal stress to soil strength,the active earth pressure calculated based on each strength criterion is less than the Rankine active earth pressure,and the passive earth pressure is greater than the Rankine passive earth pressure.The active earth pressure P a decreases,and passive earth pressure P p increases with increasing Poisson's ratio;a larger Poisson's ratio indicates that the earth pressure is closer to the measured value.The range of internal friction angles,which are applicable to the active and passive earth pressures based on the same strength criterion,increases with increasing Poisson's ratio.The calculation formulas based on each strength criterion can well describe the soil pressures on retaining structure,among which the calculation results of the generalized Mises strength criterion are consistent with the actual project.The research results can provide a theoretical reference for calculating soil pressures on retaining structures.
作者
李宝平
何茹
张玉
屈嘉璐
杨倩
LI Baoping;HE Ru;ZHANG Yu;QU Jialu;YANG Qian(School of Civil and Architecture Engineering,Xi'an Technological University,Xi'an 710021,Shaanxi,China;Shaanxi Key Laboratory of Loess Mechanics and Engineering,Xi'an University of Technology,Xi'an 710048,Shaanxi,China)
出处
《地震工程学报》
CSCD
北大核心
2023年第3期673-680,688,共9页
China Earthquake Engineering Journal
基金
国家自然科学基金(11802218)
陕西省科技计划项目(2019JQ-432,2019JQ-835)
陕西省黄土力学与工程重点实验室项目(LME201801)
陕西省教育厅专项科研计划项目(20JK0670)
西安工业大学校长基金(XAGDXJJ18018)。
关键词
平面应变
强度准则
中主应力
弹性理论
土压力
plain strain
strength criterion
intermediate principal stress
elastic theory
earth pressure
