岩土工程学报2025，Vol.47Issue(12)：2540-2550,11.DOI:10.11779/CJGE20240847
堆石料分数阶广义塑性模型
Fractional generalized plastic model for rockfill
摘要
Abstract
This paper extends the theory of generalised plasticity by applying the Caputo fractional differentiation approach to develop a new fractional constitutive model for rockfill.The proposed model employs a so-called fractional flow rule and applies the fractional differential operation on the yield surface to derive a new dilatancy equation.New representations of the plastic flow direction and the loading direction are provided by allowing the fractional order to equal or not equal 1.0.The current study suggests that the evolution of the relative positions between the plastic flow direction and the loading direction is influenced by the state parameter,as it alters the value of the fractional order.The fractional generalised plastic model can capture this non-orthogonal deformation characteristic without introducing an additional plastic potential function.Moreover,the proposed model features new representations of the state parameter and the plastic modulus while incorporating a limited number of material constants to simplify its formula.The model's predictions are compared with the triaxial test data of various types of rockfill under both drained and undrained conditions to verify the effectiveness of the proposed model in describing the strength and deformation characteristics of the rockfill.Good fitting results are obtained in the study,which initially proves the effectivenss of the model.关键词
堆石料/分数阶流动法则/广义塑性理论/状态参量/本构关系Key words
rockfill/fractional flow rule/generalized plasticity/state parameter/constitutive equations分类
建筑与水利引用本文复制引用
李海潮,魏英杰,童晨曦,范怡飞,蔡靖..堆石料分数阶广义塑性模型[J].岩土工程学报,2025,47(12):2540-2550,11.基金项目
天津市教委科研计划项目自然科学项目一般项目(XJ2022009601) （XJ2022009601）
民航机场智能建造与工业化工程技术研究中心开放课题(MHJGGCZX-KFKT-2023-01,2023-04)This work was supported by Natural Science Project of the Scientific Research Program of the Education Commission of Tianjin(Grant No.XJ2022009601),Open Project of the Civil Aviation Airport Intelligent Construction and Industrialization Engineering Technology Research Center(Grant No.MHIGGCZX-KFKT-2023-01,2023-04). （MHJGGCZX-KFKT-2023-01,2023-04）
