A unified state parameter model based on subloading surface Cambridge model

MA Fan; MA Wen-guo; DONG Xu-guang; ZHANG Gang; LAI Yu-ru; ZHOU Bo

doi:10.16285/j.rsm.2025.0342

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A unified state parameter model based on subloading surface Cambridge model

更新时间：2026-07-06

- A unified state parameter model based on subloading surface Cambridge model
- Vol. 47, Issue 4, Pages: 1288-1300(2026)
- 作者机构：
  
  1. ．宁夏大学数学统计学院,宁夏,银川,750021
  2. ．宁夏大学土木与水利工程学院,宁夏,银川,750021
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2025.0342
  CLC： TU41
- Online First：15 April 2026，
  
  Published：2026
- 稿件说明：
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MA Fan, MA Wen-guo, DONG Xu-guang, et al. A unified state parameter model based on subloading surface Cambridge model[J]. 2026, 47(4): 1288-1300.
DOI：

MA Fan, MA Wen-guo, DONG Xu-guang, et al. A unified state parameter model based on subloading surface Cambridge model[J]. 2026, 47(4): 1288-1300. DOI： 10.16285/j.rsm.2025.0342.

摘要

针对现有黏土和砂土的统一状态参数模型（unified state parameter model for clay and sand，简称CASM）在模拟超固结土力学特性方面存在的局限性，通过引入下负荷面剑桥模型（subloading surface Cambridge model，简称SSC模型）的理论框架，构建了基于下负荷面剑桥与统一状态参数模型的超固结土模型（CASM-o）。该模型既保留了CASM在屈服面与塑性势面方面的优势，又结合了SSC模型针对超固结土的硬化法则，从而能够较好地描述超固结土的力学行为。基于CASM-o，系统分析了4种典型黏土在常规三轴排水、不排水以及平均主应力恒定3种应力路径下的超固结特性。结果表明，CASM-o能够有效捕捉超固结土在三轴排水试验中呈现的应变软化与体积膨胀现象，以及在不排水试验中表现出的应变硬化及负超静孔隙水压力特征。由此验证了CASM-o在不同应力路径下对超固结土力学响应进行模拟的有效性与可靠性。

Abstract

In response to the limitations of the existing a unified state parameter model for clay and sand (CASM) in simulating the mechanical properties of overconsolidated soil

this paper introduces the theoretical framework of the subloading surface Cambridge (SSC) model and constructs an overconsolidated soil model (CASM-o) based on the SSC and CASM. This model not only retains the advantages of CASM in yield surface and plastic potential surface

but also combines the hardening rule of the SSC model for overconsolidated soil

which can better describe the mechanical behavior of overconsolidated soil. Based on the CASM-o

this paper systematically analyzes the overconsolidation characteristics of four typical clays under three stress paths: conventional triaxial drained

undrained

and constant average principal stress. The results indicate that the CASM-o can effectively capture the strain softening and volume expansion phenomena exhibited by overconsolidated soil in triaxial drainage tests

as well as the strain hardening and negative excess pore water pressure characteristics exhibited in undrained tests. This validates the effectiveness and reliability of the CASM-o in simulating the mechanical response of overconsolidated soil under different stress paths.

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