| 引用本文: | 王钰轲,李在阳,蒋睿,孙逸飞.考虑结构性影响的天然软黏土弹塑性本构模型[J].哈尔滨工业大学学报,2025,57(10):103.DOI:10.11918/202409064 |
| WANG Yuke,LI Zaiyang,JIANG Rui,SUN Yifei.Elastoplastic constitutive model of natural soft clay considering structural properties[J].Journal of Harbin Institute of Technology,2025,57(10):103.DOI:10.11918/202409064 |
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| 考虑结构性影响的天然软黏土弹塑性本构模型 |
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王钰轲1,2,3,李在阳1,2,3,蒋睿1,2,3,孙逸飞4
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(1.郑州大学 水利与交通学院,郑州 450001;2.隧道掘进机及智能运维国家重点实验室(中国中铁隧道股份有限公司), 郑州 450001;3.郑州大学 地下工程灾变防控省部共建协同创新中心,郑州 450001; 4.太原理工大学 土木工程学院,太原 030024)
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| 摘要: |
| 已有本构模型多是基于假设无实际物理意义的参数来考虑土体的结构性,且忽略了结构屈服应力的影响。为此,根据原状土与重塑土的抗剪强度关系,提出考虑结构屈服应力的结构性参数ξ,在临界状态理论框架下,基于修正剑桥模型,选择Caputo型分数阶微分描述土体塑性流动方向与屈服面非正交的特性,建立一种能够考虑黏土结构性影响的分数阶本构模型。通过温州黏土和大阪黏土对模型进行验证,当土体所受应力小于结构屈服应力时,结构性参数ξ>1,土体的力学特性受结构性影响显著;当土体所受应力大于其结构屈服应力时,结构性参数ξ=1,结构性影响消失,模型可退化为常态分数阶本构模型。温州黏土的预测结果表明,在围压为50、100、200 kPa时考虑结构性影响的分数阶本构模型最大预测误差比忽略结构性影响的模型预测误差分别降低27.6%、13.05%和1.8%,平均最大预测误差为4.92%。大阪黏土的预测结果进一步验证该模型可以较好地预测结构性黏土的力学与变形特性,具有良好的适用性和可靠性。 |
| 关键词: 天然软黏土 结构性 临界状态 抗剪强度 本构模型 |
| DOI:10.11918/202409064 |
| 分类号:TU442 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(52109140);河南省优秀青年基金(232300421069);中原科技创新领军人才基金(234200510014);河南省高校科技创新人才支持计划 (24HASTIT014);河南省交通运输厅科技项目(2022-5-5) |
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| Elastoplastic constitutive model of natural soft clay considering structural properties |
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WANG Yuke1,2,3,LI Zaiyang1,2,3,JIANG Rui1,2,3,SUN Yifei4
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(1.School of Water Conservancy and Transportation, Zhengzhou University, Zhengzhou 450001, China; 2.State Key Laboratory of Tunnel Boring Machine and Intelligent Operations (China Railway Tunnel Stock Co., Ltd.), Zhengzhou 450001, China; 3.Provincial and Ministerial Collaborative Innovation Center for Underground Engineering Disaster Prevention and Control, Zhengzhou University, Zhengzhou 450001, China; 4.College of Civil Engineering, Taiyuan University of Technology, Taiyuan 030024, China)
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| Abstract: |
| Most of the existing constitutive models often relay on parameters that lack actual physical significance to account for the structure of soil, while neglecting the influence of structural yield stress. To address this gap, a structure parameter ξ incoporating the relationship between the shear strength of undistributed and remolded soils is proposed. Within the framework of critical state theory, a modified Cam-clay model is developed. This model employs Caputo-type fractional differential to describe the characteristics of soil plastic flow direction in the soil and the non-orthogonality of the yield surface. Consequently, a fractional constitutive model considering the structural effects in clay is established. The model is validated by Wenzhou clay and Osaka clay. When the stress of the soil is less than the structural yield stress, the structural parameter ξ>1, indicating that the mechanical properties of the soil are significantly affected by the structural properties. Conversely, when the stress of the clay is larger than the structure yield stress, the structural parameter ξ=1, and the structural influence disappears, allowing the model to reduce to a conventional fractional constitutive model. The prediction results of Wenzhou clay show that, when the confining pressure is 0,0, and 200 kPa, the fractional constitutive model considering the structural influence reduces the maximum prediction error by 27.6%, 13.05% and 1.8%, respectively, compared to the model ignoring the structural influence, with an average maximum prediction error of 4.92%. Further validation using prediction results of Osaka clay demonstrates that the model better predicts the mechanical and deformation characteristics of structural clay, exhibiting good applicability and reliability. |
| Key words: natural soft clay structural properties critical state shear strength constitutive model |
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