基于修正剑桥模型的光滑粒子流体动力学的土柱崩塌模拟  

Simulation of Collapse of Soil Column Based on SPH Method with the Modified Cam-Clay Model

作　　者：周学君[1,2] 陈丁[2] 唐轶[3] 

机构地区：[1]黄冈师范学院数理学院,黄冈438000 [2]河海大学力学与材料学院,南京210098 [3]云南民族大学数学与计算机科学学院,昆明650500

出　　处：《科学技术与工程》2017年第31期1-7,共7页Science Technology and Engineering

基　　金：国家自然科学基金(61462096);江苏省普通高校研究生科研创新计划项目(KYZZ16_0268);黄冈师范学院培育基金(201617603)资助

摘　　要：土柱崩塌是一种被广泛研究的岩土大变形模型。考虑非关联流动法则的修正剑桥(MCC)模型描述土体行为;并将其导入光滑粒子流体动力学(SPH)算法来模拟土柱崩塌。在算法设计中,利用有限元方法中常用的中心回映算法来计算应力积分,以提高算法的精度。应用所设计的SPH算法模拟初始高宽比分别为1.5、3和5.5的土柱崩塌模型;并与实验结果比较,表明SPH算法在研究土柱崩塌问题的可靠性。Collapse of soil column is a widely-studied model of large deformation of geomaterials. The modified Cam-Clay model with non-associative flow rule is used to describe the behaviors of soil,and this model is introduced to smoothed particle hydrodynamics( SPH) method in order to simulate collapse of soil column. In the algorithm design,central return mapping algorithm which is commonly used in finite element method is employed to calculate stress integral,aim to improve the accuracy of the algorithm. The proposed SPH code is applied to simulate collapse of soil columns with different initial aspect ratios of 1. 5,3 and 5. 5,and the results are compared with the experimental to indicate the reliability of the SPH method for collapse of soil columns.

关 键 词：土柱崩塌 光滑粒子流体动力学(SPH) 修正剑桥(MCC)模型 非关联流动法则 中心回映算法 

分 类 号：O242[理学—计算数学]