A Three‑dimensional Non‑orthogonal Elastoplastic Constitutive Model for Claystone

LU Dechun; CHEN Liwei; ZHOU Xin; XING Huihui; JIANG Meiling; DU Xiuli

doi:10.13409/j.cnki.jdpme.20250427002

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A Three‑dimensional Non‑orthogonal Elastoplastic Constitutive Model for Claystone

更新时间：2025-12-12

- A Three‑dimensional Non‑orthogonal Elastoplastic Constitutive Model for Claystone
- Journal of Disaster Prevention and Mitigation Engineering Vol. 45, Issue 5, Pages: 1005-1013(2025)
- 作者机构：
  
  1.北京工业大学岩土与地下工程研究所，北京 100124
  2.香港科技大学土木与环境工程系，香港 999077
- 作者简介：
- 基金信息：
- DOI：10.13409/j.cnki.jdpme.20250427002
  CLC： TU45
- Received：27 April 2025，
  
  Revised：2025-05-14，
  
  Published：28 October 2025
- 稿件说明：
移动端阅览
路德春,陈力伟,周鑫等.黏土岩的三维非正交弹塑性本构模型[J].防灾减灾工程学报,2025,45(05):1005-1013.

LU Dechun,CHEN Liwei,ZHOU Xin,et al.A Three‑dimensional Non‑orthogonal Elastoplastic Constitutive Model for Claystone[J].Journal of Disaster Prevention and Mitigation Engineering,2025,45(05):1005-1013.
路德春,陈力伟,周鑫等.黏土岩的三维非正交弹塑性本构模型[J].防灾减灾工程学报,2025,45(05):1005-1013. DOI： 10.13409/j.cnki.jdpme.20250427002.

LU Dechun,CHEN Liwei,ZHOU Xin,et al.A Three‑dimensional Non‑orthogonal Elastoplastic Constitutive Model for Claystone[J].Journal of Disaster Prevention and Mitigation Engineering,2025,45(05):1005-1013. DOI： 10.13409/j.cnki.jdpme.20250427002.

摘要

黏土岩作为典型的黏聚⁃摩擦型地质材料，受力时矿物颗粒错动与黏土基质变形引发黏聚力和内摩擦角动态演化，导致材料呈现复杂的硬化规律与剪胀特性。基于黏聚⁃摩擦联合硬化规律与非正交塑性流动法则，构建了黏土岩的三维非正交弹塑性本构模型。首先利用莫尔⁃库仑强度准则与黏土岩的多轴试验数据，反演得到黏聚力和内摩擦角在硬化/软化过程中的演化规律，并通过引入两个独立的硬化/软化函数实现定量描述。其次，提出应力相关的塑性内变量，有效刻画了黏土岩在低围压下的脆性行为与高围压下的延性行为。利用分数阶导数直接获得屈服函数的非正交方向作为塑性流动方向，规避了非关联流动法则中构造塑性势函数的复杂过程。最后，通过多组常规三轴排水试验评估模型合理性。结果表明，该模型能合理描述黏土岩的典型非线性力学行为，包括应变硬化/软化特性、剪缩/剪胀现象以及不同围压条件下的脆⁃延性转变，为黏土岩工程力学特性的理论分析与数值模拟提供了可靠的本构模型支持。

Abstract

Claystone

as a typical cohesive-frictional geological material

exhibits complex hardening patterns and dilatancy characteristics due to the dynamic evolution of cohesion and internal friction angle caused by mineral particle interlocking and clay matrix deformation under stress. Based on a cohesion-friction combined hardening pattern and a non-orthogonal plastic flow rule

this study constructed a three-dimensional non-orthogonal elastoplastic constitutive model for claystone. First

the evolution patterns of cohesion and internal friction angle during the hardening/softening processes were inversely derived using the Mohr-Coulomb strength criterion and multiaxial test data of claystone. These evolution patterns were then quantitatively described by introducing two independent hardening/softening functions. Subsequently

a stress-dependent plastic internal variable was proposed to effectively characterize the brittle behavior of claystone under low confining pressure and the ductile behavior under high confining pressure. By employing the fractional derivative

the non-orthogonal direction of the yield function was directly obtained as the plastic flow direction

thereby avoiding the complex process of constructing a plastic potential function in the non-orthogonal flow rule. Finally

the rationality of the model was evaluated through multiple sets of conventional triaxial drained tests. The results showed that the proposed model could reasonably describe the typical nonlinear mechanical behaviors of claystone

including strain hardening/softening characteristics

shear contraction/dilation phenomena

and the brittle-ductile transition under different confining pressures. This study provides a reliable constitutive model for the theoretical analysis and numerical simulation of the engineering mechanical properties of claystone.

关键词

Keywords

references

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