Probabilistic Assessment of Constitutive Model Parameters:Insight from a Statistical Damage Constitutive Model and a Simple Critical State Hypoplastic Model  

作　　者：Yang Xue Fasheng Miao Yiping Wu Linwei Li Daniel Dias Yang Tang 

机构地区：[1]Key Laboratory of Smart Earth,Beijing 100029,China [2]Key Laboratory of Geological Survey and Evaluation of Ministry of Education,China University of Geosciences(Wuhan),Wuhan 430074,China [3]School of Geosciences,Yangtze University,Wuhan 430100,China [4]College of Resources and Environmental Engineering,Guizhou University,Guiyang 550025,China [5]Laboratory 3SR,Grenoble Alpes University,Grenoble 38000,France [6]Engineering Digital Technology Center,Central-South Architectural Design Institute Co.,Ltd,Wuhan 430071,China

出　　处：《Journal of Earth Science》2025年第2期685-699,共15页地球科学学刊(英文版)

基　　金：supported by the Opening Fund of Key Laboratory of Geological Survey and Evaluation of Ministry of Education(No.GLAB 2024ZR03);the National Natural Science Foundation of China(No.42407248);the Guizhou Provincial Basic Research Program(Natural Science)(No.QKHJC-[2023]-YB066);the Key Laboratory of Smart Earth(No.KF2023YB04-02);the Fundamental Research Funds for the Central Universities。

摘　　要：The constitutive model is essential for predicting the deformation and stability of rocksoil mass.The estimation of constitutive model parameters is a necessary and important task for the reliable characterization of mechanical behaviors.However,constitutive model parameters cannot be evaluated accurately with a limited amount of test data,resulting in uncertainty in the prediction of stress-strain curves.This paper proposes a Bayesian analysis framework to address this issue.It combines the Bayesian updating with the structural reliability and adaptive conditional sampling methods to assess the equation parameter of constitutive models.Based on the triaxial and ring shear tests on shear zone soils from the Huangtupo landslide,a statistical damage constitutive model and a critical state hypoplastic constitutive model were used to demonstrate the effectiveness of the proposed framework.Moreover,the parameter uncertainty effects of the damage constitutive model on landslide stability were investigated.Results show that reasonable assessments of the constitutive model parameter can be well realized.The variability of stress-strain curves is strongly related to the model prediction performance.The estimation uncertainty of constitutive model parameters should not be ignored for the landslide stability calculation.Our study provides a reference for uncertainty analysis and parameter assessment of the constitutive model.

关 键 词：probabilistic back analysis Bayesian approach model parameter estimation constitutive model landslide stability engineering geology 

分 类 号：TU43[建筑科学—岩土工程]