数值分析

颗粒接触无网格法及其在边坡成灾范围模拟中的应用

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  • 1. 中国科学院力学研究所 流固耦合系统力学重点实验室,北京 100190;2. 鞍钢集团鞍千矿业有限责任公司,辽宁 鞍山 114000
冯春,男,1982年生,博士研究生,高级工程师,主要从事岩土力学领域数值计算方法的研究工作。

收稿日期: 2014-11-28

  网络出版日期: 2018-06-09

基金资助

国家科技支撑计划(No.2012BAK10B00)资助;国家自然科学基金青年基金项目(No.11302230,No.11302229)资助。

Particle contact-based meshfree method and its application to slope disaster range simulation

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  • 1. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China; 2. Anshan Iron and Steel Group Anqian Mining Co., Ltd., Anshan, Liaoning 114000, China

Received date: 2014-11-28

  Online published: 2018-06-09

Supported by

This work was supported by the National Key Technology Research and Development Program of the Ministry of Science and Technology of China (2012BAK10B00) and the National Natural Science Foundation of China Young Scholars (11302230, 11302229).

摘要

提出了一种基于颗粒接触的无网格方法(PCMM),并编制了相应的C++程序,解决了有限元等网格类方法在模拟边坡失稳滑动过程中的网格畸变问题。该方法利用颗粒离散元中的接触拓扑创建连续介质单元,通过颗粒的运动演化实现连续介质单元的自动删除及重建,通过在连续介质单元中引入考虑应变软化效应的Mohr-Coulomb模型及最大拉应力模型,实现边坡的弹塑性分析及失稳滑移过程的模拟。利用PCMM分析了均质边坡的弹塑性场、沙堆的形成过程及土质边坡的失稳过程。计算结果表明,PCMM在小变形下具有足够的精度,且在模拟材料大变形方面具有明显优势,是一种模拟边坡成灾范围的有效方法。

本文引用格式

冯 春 ,李世海 ,孙厚广 ,李志刚, . 颗粒接触无网格法及其在边坡成灾范围模拟中的应用[J]. 岩土力学, 2016 , 37(12) : 3608 -3617 . DOI: 10.16285/j.rsm.2016.12.033

Abstract

When simulate slope sliding process by grid-based methods such as FEM, element distortion will happen. To solve such problems, a particle contact-based meshfree method (PCMM) is proposed; and a corresponding C++ code is implemented. In this method, the continuous media elements are created based on contact topology of particle DEM; and the elements will be deleted or recreated according to the movement and evolvement of the particle system. The elastoplastic analysis and sliding process simulation of slope are realized by intruducing the softening Mohr-Coulomb model and maximal tensile stress model into continuous media elements. PCMM is uesed to simulate the elastoplastic deformation of homogeneous slope, formation process of sand pile and failure process of soil slope through cases. The results show that the PCMM is an effective approach to simulate disaster range of slope; and it owns enough accuracy when simulating small deformation and large deformation problems.
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