Article(id=1273953353261409249, tenantId=1146029695717560320, journalId=1272209045839646724, issueId=1273953231114887613, articleNumber=null, orderNo=null, doi=10.20174/j.JUSE.2026.02.09, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1750176000000, receivedDateStr=2025-06-18, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1781663748326, onlineDateStr=2026-06-17, pubDate=1776614400000, pubDateStr=2026-04-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1781663748326, onlineIssueDateStr=2026-06-17, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1781663748326, creator=13701087609, updateTime=1781663748326, updator=13701087609, issue=Issue{id=1273953231114887613, tenantId=1146029695717560320, journalId=1272209045839646724, year='2026', volume='22', issue='2', pageStart='377', pageEnd='752', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1781663719203, creator=13701087609, updateTime=1781663760928, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1273953406235467954, tenantId=1146029695717560320, journalId=1272209045839646724, issueId=1273953231114887613, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1273953406235467955, tenantId=1146029695717560320, journalId=1272209045839646724, issueId=1273953231114887613, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=471, endPage=480, ext={EN=ArticleExt(id=1273953353798280163, articleId=1273953353261409249, tenantId=1146029695717560320, journalId=1272209045839646724, language=EN, title=Study on the Hyperbolic Constitutive Model of Sandy Clay Purple Soil with Missing Grain Group, columnId=null, journalTitle=Chinese Journal of Underground Space and Engineering, columnName=null, runingTitle=null, highlight=null, articleAbstract=

The sandy clayey purple soil is susceptible to alterations in particle size distribution due to hydraulic erosion, such as rainfall and fluctuations in reservoir water levels. These changes can affect the soil's strength. To elucidate the strength characteristics of sandy clayey purple soil in the influence of the absence of different particle groups, consolidated drained triaxial shear tests of saturated sandy clayey purple soil with five distinct particle groups were conducted. The fractal dimension was employed to quantify the physical properties of varying particle sizes. The relationship between the strength characteristics of purple soil with different particle groups and the fractal dimension was obtained. The results show that: (1) There is no significant change in the internal friction angle of the soil shear strength index under the missing effect of different grain groups, but the cohesion and fractal dimension show a hyperbolic relationship; the initial tangent modulus of different grain groups is affected by confining pressure and fractal dimension, and there is a quadratic function relationship between parameter n and fractal dimension. Under low confining pressure, the stress-strain relationship of different grain groups is obviously different. With the increase of confining pressure, the stress-strain characteristics tend to be consistent. (2) Based on the Duncan-Chang E-ν model, the nonlinear elastic hyperbolic constitutive model of saturated sandy clayey purple soil under the effect of different particle groups is established by fitting the cohesion-fractal dimension hyperbolic equation, and the validity of the model is verified.

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砂质黏性紫色土极易在降雨、库水涨落等水力侵蚀作用下出现颗粒级配变化，致使其强度改变。为揭示砂质黏性紫色土在不同粒组缺失效应下的强度特性规律，开展5种不同粒组的饱和砂质黏性紫色土固结排水三轴剪切试验，并引入分形维数量化不同粒径物性，得到不同粒组紫色土的强度特性与分形维数的联系。结果表明：（1）不同粒组缺失效应下土抗剪强度指标中的内摩擦角无明显变化，但黏聚力与分形维数呈双曲线关系；（2）不同粒组初始切线模量受围压和分形维数共同影响，其中参数n与分形维数存在二次函数关系；（3）低围压下，不同粒组的应力-应变关系差异较为明显，随着围压的增加，其应力-应变特征趋于一致；（4）拟合黏聚力-分形维数双曲线方程，基于邓肯-张E-ν模型建立不同粒组缺失效应下的饱和砂质黏性紫色土非线性弹性双曲线本构模型，并对模型的有效性进行了验证。

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覃永富（1996—），男，重庆人，硕士，主要从事水土力学与岩土工程方面的研究。E-mail: qin212418@126.com

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覃永富（1996—），男，重庆人，硕士，主要从事水土力学与岩土工程方面的研究。E-mail: qin212418@126.com

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