| 基于局部单元劈裂的FEM/DEM自适应分析方法 |
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| 引用本文： | 严成增,孙冠华,郑 宏,葛修润.基于局部单元劈裂的FEM/DEM自适应分析方法[J].岩土力学,2014,35(7):2064-2070. |
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| 作者姓名： | 严成增 孙冠华 郑 宏 葛修润 |
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| 作者单位： | 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室，武汉 430071 |
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| 基金项目： | 国家自然科学青年基金项目(No. 11202223)；国家重点基础研究发展计划(973)项目(No. 2011CB013505)。 |
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| 摘 要： | 为了模拟岩体中裂纹的萌生、扩展，Munjiza提出了有限元法/离散元法(FEM/DEM)耦合分析方法。因为裂纹是沿单元边界进行扩展的，亦即裂纹扩展具有网格依赖性，为获得较好的裂纹扩展形态，需要划分密集的初始网格。为解决上述难题，基于FEM/DEM耦合分析方法，提出了基于局部单元动态劈裂的FEM/DEM自适应分析方法，以克服裂纹扩展形态对网格的依赖性。该方法在最初建模时无需划分很密的初始网格，随着荷载的施加，对裂纹尖端附近的局部单元进行动态劈裂，为裂纹的后续扩展提供了更多可能的扩展方向，使得裂纹扩展不必沿着初始网格的单元边界扩展，即可以沿着单元内部进行扩展，裂纹扩展形态更为平滑，与实际情况更为接近。同时相对原FEM/DEM耦合分析方法一开始就划分很密的网格而言，新方法可以划分较为稀疏的初始网格，计算成本降低。最后，通过巴西劈裂算例与原FEM/DEM耦合分析方法对比，分析表明，新方法在一定程度上克服了裂纹扩展形态对初始网格的依赖性。
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| 关 键 词： | 有限元法/离散元法(FEM/DEM) 单元劈裂法 自适应技术 裂纹扩展 |
| 收稿时间： | 2013-06-08 |
Adaptive FEM/DEM analysis method based on local splitting elements |
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| YAN Cheng-zeng,SUN Guan-hua,ZHENG Hong,GE Xiu-run.Adaptive FEM/DEM analysis method based on local splitting elements[J].Rock and Soil Mechanics,2014,35(7):2064-2070. |
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| Authors: | YAN Cheng-zeng SUN Guan-hua ZHENG Hong GE Xiu-run |
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| Institution: | State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | In order to simulate initiation and propagation of rock crack, Munjiza proposed FEM/DEM coupling analysis method. Because the cracks extend along the cell boundary, i.e. the propagation of crack has mesh-dependency problems. For the purpose of a better crack propagation shape, dense initial mesh is needed. To solve the above problems, the FEM/DEM adaptive analysis methods of local unit dynamic splitting is proposed to overcome mesh-dependency problems of crack morphology based on FEM/DEM coupling analysis method. However, very fine elements will not be necessary in this procedure; and dynamic splitting can take place in the local elements containing crack tips with increasing loading, which provides more possible expansion direction for subsequent expansion of the crack. Cracks are not confined along edges of elements. Cracks can grow in more natural way, which can be extended inside the element and more smoother. While original FEM/DEM coupling method divides very dense mesh, the proposed method can divide initial mesh relatively sparsely; so the cost of calculation is low. Finally, the numerical example of Brazilian disc indicates that the proposed method overcomes the dependence of crack morphology on the initial grid. |
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| Keywords: | finite element method/discrete element method (FEM/DEM) method of element splitting procedure of adaptive elements crack growth |
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