岩土工程学报2024，Vol.46Issue(8)：1632-1643,12.DOI:10.11779/CJGE20230676
基于改进对流粒子域插值物质点法的隧道大变形分析
Improved convective particle domain interpolation material point method for large deformation analysis of tunnels
摘要
Abstract
The material point method(MPM)has good effects in simulating large deformation problems.However,the conventional MPM suffers from cell-crossing errors when particles cross grid boundaries,resulting in reduced accuracy.In order to overcome the cell-crossing errors of the conventional MPM,an improved convective particle domain interpolation material point method(CPDI)is proposed based on the conventional CPDI framework and the adaptive orthogonal improved interpolation moving least squares method(AOIIMLS).By constructing weighted orthogonal basis functions and disregarding the minimal or zero elements in the new diagonal matrix,the inverse matrix computation is avoided,and the robustness is enhanced.In the improved CPDI method,the particle domain velocity field is calculated using the velocity gradients,and the AOIIMLS shape functions are employed to reconstruct the background grid velocity function using the particle velocity and particle domain corner point velocity.The accuracy and applicability of the improved CPDI method are verified through simulations of various scenarios such as the compaction of a one-dimensional column under self-weight,the collapse of a sand column and the centrifuge tests on tunnel collapse.The results show that the improved CPDI method reduces the cell-crossing errors caused by the particles cross grid boundaries and achieves higher accuracy.Finally,the improved CPDI method is employed to simulate the whole process of ground collapse in the Jinggang Road Station-Shazikou Station tunnel section of Qingdao Metro Line 4,effectively confirming the applicability and advantages of the method in addressing large deformation problems in geotechnical engineering.关键词
物质点法/对流粒子域插值/自适应正交改进移动最小二乘法/隧道大变形Key words
material point method/convective particle domain interpolation/adaptive orthogonal improved interpolation moving least squares method/large deformation of tunnel分类
建筑与水利引用本文复制引用
王曼灵,李树忱,周慧颖,王修伟,彭科峰,袁超..基于改进对流粒子域插值物质点法的隧道大变形分析[J].岩土工程学报,2024,46(8):1632-1643,12.基金项目
国家重点研发计划项目(2021YFC2902103) （2021YFC2902103）
国家自然科学基金项目(52108373) （52108373）
山东省自然科学基金项目(ZR2021ZD36,ZR2021QE127) （ZR2021ZD36,ZR2021QE127）
