{"title":"A practical method for determining the elastic modulus of frozen soils","authors":"Xiangtian Xu , Ruiqiang Bai , Guofang Xu , Shengnan Chen , Bujin Zhang","doi":"10.1016/j.coldregions.2025.104588","DOIUrl":null,"url":null,"abstract":"<div><div>Elastic modulus of frozen soil is an important mechanical parameter for the design and construction of buildings and infrastructures in seasonal frozen soil and permafrost regions. To explore a reasonable approach for determining the elastic modulus of frozen soil, this study selects frozen silty sand, frozen silty clay, and frozen loess as representatives, and investigates the variations of 10 deformation moduli with confining pressure. The moduli are the initial tangent modulus (<em>E</em><sub>0<em>qf</em></sub>), secant moduli (<em>E</em><sub>0.2<em>qf</em></sub> - <em>E</em><sub>0.5<em>qf</em></sub>) measured up to 20 %, 30 %, 40 %, 50 % of failure stress, and secant moduli (<em>E</em><sub>0.1<em>εf</em></sub> - <em>E</em><sub>0.5<em>εf</em></sub>) measured up to 10 %, 20 %, 30 %, 40 %, 50 % of failure strain. A linear model is proposed to describe the moduli variations with confining pressure, and the performance of the model is evaluated based on 12 indicators. The results show that the change of each modulus with confining pressure is influenced by the yielding mode of the test specimen. The moduli decrease with increasing confining pressure when the specimen yields in a shear mode, and increase with the confining pressure further increase once the specimen yields in compressibility mode. Under the same yielding mode, there exist linear relationships between the deformation moduli and confining pressure. It is interesting to find that the relationship between <em>E</em><sub>0<em>qf</em></sub> - <em>E</em><sub>0.5<em>qf</em></sub> and confining pressure is affected by soil type, while the linear relationship between <em>E</em><sub>0.1<em>εf</em></sub> - <em>E</em><sub>0.5<em>εf</em></sub> and confining pressure is independent of the soil type tested. Moreover, the linear relationships between <em>E</em><sub>0.1<em>εf</em></sub> - <em>E</em><sub>0.5<em>εf</em></sub> and confining pressure are more significant than those between <em>E</em><sub>0<em>qf</em></sub> - <em>E</em><sub>0.5<em>qf</em></sub> and confining pressure. Using <em>E</em><sub>0.2<em>εf</em></sub> - <em>E</em><sub>0.5<em>εf</em></sub> as the elastic modulus can effectively reduce the discreteness of the index, thus reduce the quantity of the experiments for determining the elastic modulus, and facilitate to determine more realistic frozen soil deformation in engineering calculation. From this point of view, this study provides a practical method for determining the elastic modulus of frozen soils.</div></div>","PeriodicalId":10522,"journal":{"name":"Cold Regions Science and Technology","volume":"239 ","pages":"Article 104588"},"PeriodicalIF":3.8000,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cold Regions Science and Technology","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165232X25001715","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
Elastic modulus of frozen soil is an important mechanical parameter for the design and construction of buildings and infrastructures in seasonal frozen soil and permafrost regions. To explore a reasonable approach for determining the elastic modulus of frozen soil, this study selects frozen silty sand, frozen silty clay, and frozen loess as representatives, and investigates the variations of 10 deformation moduli with confining pressure. The moduli are the initial tangent modulus (E0qf), secant moduli (E0.2qf - E0.5qf) measured up to 20 %, 30 %, 40 %, 50 % of failure stress, and secant moduli (E0.1εf - E0.5εf) measured up to 10 %, 20 %, 30 %, 40 %, 50 % of failure strain. A linear model is proposed to describe the moduli variations with confining pressure, and the performance of the model is evaluated based on 12 indicators. The results show that the change of each modulus with confining pressure is influenced by the yielding mode of the test specimen. The moduli decrease with increasing confining pressure when the specimen yields in a shear mode, and increase with the confining pressure further increase once the specimen yields in compressibility mode. Under the same yielding mode, there exist linear relationships between the deformation moduli and confining pressure. It is interesting to find that the relationship between E0qf - E0.5qf and confining pressure is affected by soil type, while the linear relationship between E0.1εf - E0.5εf and confining pressure is independent of the soil type tested. Moreover, the linear relationships between E0.1εf - E0.5εf and confining pressure are more significant than those between E0qf - E0.5qf and confining pressure. Using E0.2εf - E0.5εf as the elastic modulus can effectively reduce the discreteness of the index, thus reduce the quantity of the experiments for determining the elastic modulus, and facilitate to determine more realistic frozen soil deformation in engineering calculation. From this point of view, this study provides a practical method for determining the elastic modulus of frozen soils.
期刊介绍:
Cold Regions Science and Technology is an international journal dealing with the science and technical problems of cold environments in both the polar regions and more temperate locations. It includes fundamental aspects of cryospheric sciences which have applications for cold regions problems as well as engineering topics which relate to the cryosphere.
Emphasis is given to applied science with broad coverage of the physical and mechanical aspects of ice (including glaciers and sea ice), snow and snow avalanches, ice-water systems, ice-bonded soils and permafrost.
Relevant aspects of Earth science, materials science, offshore and river ice engineering are also of primary interest. These include icing of ships and structures as well as trafficability in cold environments. Technological advances for cold regions in research, development, and engineering practice are relevant to the journal. Theoretical papers must include a detailed discussion of the potential application of the theory to address cold regions problems. The journal serves a wide range of specialists, providing a medium for interdisciplinary communication and a convenient source of reference.