Formulations and Applications of Coupled Material Point Method for Unsaturated Soils

被引：0

作者：

Wang B. ^{[1
]}

Zhou A. ^{[1
,2
]}

Lu M. ^{[3
]}

Wang J. ^{[1
,4
]}

机构：

[1] State Key Laboratory of Geomechanics and Geotechnical Engineering, Chinese Academy of Sciences, Wuhan

[2] School of Civil and Environmental Engineering, Hubei University of Technology, Wuhan

[3] College of Civil Engineering, Tongji University, Shanghai

[4] Faculty of Engineering, China University of Geosciences, Wuhan

来源：

Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences | 2022年 / 49卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Coupled material point method (CMPM); Discretization process; Governing equations; Numerical simulation; Rainfall-induced slope failure;

D O I：

10.16339/j.cnki.hdxbzkb.2022063

中图分类号：

学科分类号：

摘要：

Based on the mass and momentum conservations of the continuum, this paper presents a novel coupled material point method based on the v-w formulation, which fully considers the large deformation mechanics of saturate and unsaturated structures under the interactions between the solids and the fluids. For simplicity, the gas phase is neglected in the formulation, while an additional item, i.e. degree of saturation, is incorporated in the governing equations to simply study the saturated/unsaturated soils. The detailed derivation process of the governing equations, discretization process in the matrix forms and the computational cycles of CMPM is introduced. Via two benchmark examples, i.e. one-dimensional Terzaghi consolidation solution, and the Liakopoulos test, the validity of the CMPM is proven. In the end, a slope failure analysis due to the rainfall infiltration is presented, where both deep progressive and superficial slope failures are shown, further demonstrating that CMPM is a promising tool in simulating hydro-mechanical problems. © 2022, Editorial Department of Journal of Hunan University. All right reserved.

引用

页码：192 / 202

页数：10

共 20 条

[1] HUANG R Q., Large-scale landslides and their sliding mechanisms in China since the 20th century, Chinese Journal of Rock Mechanics and Engineering, 26, 3, pp. 433-454, (2007)
[2] WANG S J., Tasks and future of engineering geology, Journal of Engineering Geology, 7, 3, pp. 195-199, (1999)
[3] JANG C S., Present situation and prevention of geological disasters in China, Chinese Geology, 27, 4, pp. 3-5, (2000)
[4] YIN Y P., A review and vision of geological hazards in China, Management Geological Science and Technology, 18, 3, pp. 26-29, (2001)
[5] YANG F, LIN F R, LU Q G., Fifty-nine people are missing after a landslide at an industrial park in Shenzhen
[6] LI F, ZHENG W, GUO R., Study on numerical method of stability analysis for earth-rock mixed high slope, Journal of Hunan University (Natural Sciences), 45, pp. 74-79, (2018)
[7] PENG W Z, ZHAO M H, XIAO Y, Et al., Stability analysis of anti-slide pile reinforced slope and determination of optimal pile position, Journal of Hunan University (Natural Sciences), 47, 5, pp. 23-30, (2020)
[8] SULSKY D, CHEN Z, SCHREYER H L., A particle method for history-dependent materials[J], Computer Methods in Applied Mechanics and Engineering, 118, 1, pp. 179-196, (1994)
[9] WIECKOWSKI Z, YOUN S K, YEON J H., A particle-in-cell solution to the silo discharging problem[J], International Journal for Numerical Methods in Engineering, 45, 9, pp. 1203-1225, (1999)
[10] HU W Q, CHEN Z., Model-based simulation of the synergistic effects of blast and fragmentation on a concrete wall using the MPM[J], International Journal of Impact Engineering, 32, 12, pp. 2066-2096, (2006)

← 1 2 →