Article(id=1273953232469611302, tenantId=1146029695717560320, journalId=1272209045839646724, issueId=1273953231114887613, articleNumber=null, orderNo=null, doi=10.20174/j.JUSE.2026.02.05, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1736438400000, receivedDateStr=2025-01-10, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1781663719526, onlineDateStr=2026-06-17, pubDate=1776614400000, pubDateStr=2026-04-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1781663719526, onlineIssueDateStr=2026-06-17, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1781663719526, creator=13701087609, updateTime=1781663719526, 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=427, endPage=436, ext={EN=ArticleExt(id=1273953236038964010, articleId=1273953232469611302, tenantId=1146029695717560320, journalId=1272209045839646724, language=EN, title=Rock Stress-Strain Relationship and Porosity Evolution Model Based on TPHM, columnId=null, journalTitle=Chinese Journal of Underground Space and Engineering, columnName=null, runingTitle=null, highlight=null, articleAbstract=

In order to investigate the impact of pore and fracture structure on the nonlinear deformation characteristics of rocks during the entire stress-strain process, considering the differences in deformation between pores and the matrix, porous rocks are deconstructed into two components: hard springs and soft springs. The Two-part Hooke's Model (TPHM) and statistical damage theory are introduced. Based on the TPHM, the complete stress-strain relationship of rocks is established, and the porosity evolution equation for the entire stress-strain process of rocks is derived. This model overcomes the limitation of the traditional Two-part Hooke's Model, which is unable to represent the plastic deformation of rocks after yielding. It not only accurately characterizes the nonlinear deformation during the pore compaction stage, plastic yielding, stress drop after peak, and residual stress characteristics in the rock compression process, but also effectively represents the porosity variation during the entire stress-strain process of rocks. Extensive experimental data validation has demonstrated that the theoretical curves of this constitutive model align well with the experimental results, with correlation coefficients consistently exceeding 0.9.

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为研究岩石全应力应变过程孔裂隙结构与岩石非线性变形特征的影响，考虑孔隙和基质变形差异性，将多孔岩石解构为硬弹簧与软弹簧两部分，引入双弹簧Hooke模型（Two-part Hooke's model, 简称TPHM）和统计损伤理论，基于双弹簧Hooke模型建立岩石全应力-应变关系，推导岩石全应力-应变过程的孔隙率演化方程。该模型克服了传统双弹簧Hooke模型无法表征岩石屈服后塑性变形的局限性，能够准确地表征岩石压缩过程中的孔隙压密阶段的非线性变形、塑性屈服、峰值后应力下降以及残余应力特征，还能有效表征岩石全应力-应变过程中的孔隙率变化规律。经过大量实验数据验证，该本构模型的理论曲线与试验结果较为吻合，相关系数均达到了0.9以上。

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李硕（1999—），男，湖北黄冈人，硕士生，主要从事岩土力学数值研究方面的工作。E-mail: lidshuo1999@163.com

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李硕（1999—），男，湖北黄冈人，硕士生，主要从事岩土力学数值研究方面的工作。E-mail: lidshuo1999@163.com

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