The solution of the double-sphere model and experimental research of the longterm shear strength of frozen sand based on spherical template indenter test北大核心CSCD The solution of the double-sphere model and experimental research of the long-term shear strength of frozen sand based on spherical template indenter test期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The solution of the double-sphere model and experimental research of the longterm shear strength of frozen sand based on spherical template indenter test北大核心CSCD

引用本文：	恽晴飞,谢春磊,张泽,刘有乾,付峻松,刘启.The solution of the double-sphere model and experimental research of the longterm shear strength of frozen sand based on spherical template indenter test北大核心CSCD[J].冰川冻土,2022,44(2):485-494.

作者姓名：	恽晴飞谢春磊张泽刘有乾付峻松刘启

作者单位：	1.上海长凯岩土工程有限公司，上海 200093;2.东北林业大学土木工程学院/交通学院/寒区科学与工程研究院，黑龙江哈尔滨 150040;3.兰州大学土木工程与力学学院，甘肃兰州 730000;4.中国科学院西北生态环境资源研究院冻土工程国家重点实验室，甘肃兰州 730000;5.内蒙古自治区交通建设工程质量监测鉴定站，内蒙古呼和浩特 010051;6.中国铁路青藏集团有限公司，青海西宁 810000

基金项目：	国家自然科学基金委员会（NSFC）与俄罗斯基础研究基金会（RFBR）合作交流项目（42011530083）；

摘要：	The distribution of frozen soil in our country is very broad, and the area of permafrost alone accounts for 22. 4% of the total land area. As a special kind of soil, frozen soil has many properties that thawing soil does not have due to the influence of ice cement in the soil. Among the many properties of frozen soil, the deformation and strength of frozen soil are the basic problems affecting engineering construction in frozen soil areas. The spherical template indenter test is widely used in the test of the mechanical properties of frozen soil because of its simple test process and relatively accurate test results. Compared with the conventional triaxial test or direct shear test, the test process of the spherical template indenter test is simple and easy to implement, the test period is short, and the sample preparation requirements are low. The advantage of effective cohesion is more significant. Therefore, based on the spherical template indenter test of the frozen soil, this paper estimates the strength and mechanical index of the soil through the indentation depth of the spherical template indenter test, and establishes the relationship between the force of the sample and the indentation depth of the indenter test. The specific test method is as follows:take the water-saturated frozen sandy soil made of different particle size groups(the moisture content of the sample is affected by the particle size in the saturated state)as the research object, study the variation law of the depth of the frozen soil sample pressed into the soil by the spherical indenter with time under the conditions of different fixed loads. By comparing and referring to the frozen sands of each particle size group, the long-term equivalent cohesion of the frozen sands of different particle size groups is summarized. The change law of force(long-term shear strength)with time, and the research method of elastic mechanics to solve space problems, summed up the mutual conversion between the depth St of spherical template indenters pressed into frozen sand samples under different fixed load test conditions relation. The research results show that the long-term shear strength of frozen sand based on the spherical mold test is positively correlated with its particle size. At the same time, since the ice content of frozen soil samples is proportional to its particle size, the long-term shear strength of frozen sand is also proportional to the test. The ice content of the sample increases year-on-year;the long-term shear strength of the frozen sand is related to the maximum contact pressure on the contact surface between the frozen soil and the indenter during the test, which can be expressed as Ct = γq0. The size of the relationship coefficient γ is inversely proportional to the diameter of the spherical indenter. In this paper, the spherical indenter is selected as 22 mm, and γ=3. 82×10-3. By establishing the relationship between the maximum contact pressure q0 and the long-term shear strength Ct When the maximum contact pressure q0 is the same under different fixed loads, the long-term shear strength Ct is also the same. According to this, the depth curve and the freezing depth of the frozen sand pressed into the soil by the spherical indenter over time under different fixed loads can be converted. Long-term shear strength curve of frozen sandy soil with time. It has been verified by experiments that the conversion curve of the depth of the indenter pressed into the soil with time under a fixed load of 7. 0 kg is highly consistent with the measured curve of the depth of the indenter pressed into the soil with time under a fixed load of 5. 1 kg and 7. 0 kg. © 2022 Nanjing Forestry University. All rights reserved.
关键词：	球模仪抗剪强度冻结砂土长期强度双球模型
收稿时间：	2022-01-27
修稿时间：	2022-04-09
The solution of the double-sphere model and experimental research of the long-term shear strength of frozen sand based on spherical template indenter test

Qingfei YUN,Chunlei XIE,Ze ZHANG,Youqian LIU,Junsong FU,Qi LIU.The solution of the double-sphere model and experimental research of the long-term shear strength of frozen sand based on spherical template indenter test[J].Journal of Glaciology and Geocryology,2022,44(2):485-494.

Authors:	Qingfei YUN Chunlei XIE Ze ZHANG Youqian LIU Junsong FU Qi LIU

Abstract:	The distribution of frozen soil in our country is very broad， and the area of permafrost alone accounts for 22.4% of the total land area. As a special kind of soil， frozen soil has many properties that thawing soil does not have due to the influence of ice cement in the soil. Among the many properties of frozen soil， the deformation and strength of frozen soil are the basic problems affecting engineering construction in frozen soil areas. The spherical template indenter test is widely used in the test of the mechanical properties of frozen soil because of its simple test process and relatively accurate test results. Compared with the conventional triaxial test or direct shear test， the test process of the spherical template indenter test is simple and easy to implement， the test period is short， and the sample preparation requirements are low. The advantage of effective cohesion is more significant. Therefore， based on the spherical template indenter test of the frozen soil， this paper estimates the strength and mechanical index of the soil through the indentation depth of the spherical template indenter test， and establishes the relationship between the force of the sample and the indentation depth of the indenter test. The specific test method is as follows： take the water-saturated frozen sandy soil made of different particle size groups （the moisture content of the sample is affected by the particle size in the saturated state） as the research object， study the variation law of the depth of the frozen soil sample pressed into the soil by the spherical indenter with time under the conditions of different fixed loads. By comparing and referring to the frozen sands of each particle size group， the long-term equivalent cohesion of the frozen sands of different particle size groups is summarized. The change law of force （long-term shear strength） with time， and the research method of elastic mechanics to solve space problems， summed up the mutual conversion between the depth $S t$ of spherical template indenters pressed into frozen sand samples under different fixed load test conditions relation. The research results show that the long-term shear strength of frozen sand based on the spherical mold test is positively correlated with its particle size. At the same time， since the ice content of frozen soil samples is proportional to its particle size， the long-term shear strength of frozen sand is also proportional to the test. The ice content of the sample increases year-on-year； the long-term shear strength of the frozen sand is related to the maximum contact pressure on the contact surface between the frozen soil and the indenter during the test， which can be expressed as $C t = γ q 0$ . The size of the relationship coefficient $γ$ is inversely proportional to the diameter of the spherical indenter. In this paper， the spherical indenter is selected as 22 mm， and $γ$ =3.82×10^-3. By establishing the relationship between the maximum contact pressure $q 0$ and the long-term shear strength $C t$ When the maximum contact pressure $q 0$ is the same under different fixed loads， the long-term shear strength $C t$ is also the same. According to this， the depth curve and the freezing depth of the frozen sand pressed into the soil by the spherical indenter over time under different fixed loads can be converted. Long-term shear strength curve of frozen sandy soil with time. It has been verified by experiments that the conversion curve of the depth of the indenter pressed into the soil with time under a fixed load of 7.0 kg is highly consistent with the measured curve of the depth of the indenter pressed into the soil with time under a fixed load of 5.1 kg and 7.0 kg.

Keywords:	spherical template indenter shear strength frozen sand long-term strength double-sphere model
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