颗粒接触无网格法及其在边坡成灾范围模拟中的应用  

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

作　　者：冯春[1] 李世海[1] 孙厚广 李志刚[1] 

机构地区：[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

出　　处：《岩土力学》2016年第12期3608-3617,共10页Rock and Soil Mechanics

基　　金：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~~

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。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.

关 键 词：无网格方法 颗粒接触无网格法 颗粒接触 边坡 成灾范围 

分 类 号：TU42[建筑科学—岩土工程]