Block fracturing analysis using nodal‐based discontinuous deformation analysis with the double minimization procedure
Block fracturing analysis using nodal‐based discontinuous deformation analysis with the double minimization procedure
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DOI：
10.1002/nag.2237
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发表时间：
2014-06
影响因子：
4
通讯作者：
Q. Tian;Zhiye Zhao;H. Bao
中科院分区：
文献类型：
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作者：
Q. Tian;Zhiye Zhao;H. Bao
作为一种混合方法，基于节点的不连续变形分析（NDDA）通过耦合 DDA 块内定义明确的有限元网格，极大地提高了每个 DDA 块内的应力精度；同时，NDDA继承了标准DDA方法独特的块运动学。 DDA块内的每条有限元网格线都被视为潜在裂纹，这使得块材料能够通过拉伸和剪切断裂机制从连续体转变为不连续体。本文在NDDA方法中引入双重最小化过程，以进一步提高有限元网格线处应力评估的准确性，从而获得更真实的断裂模型。采用三个数值算例证明了通过实施双重最小化程序所提高的应力精度以及增强的NDDA方法在捕获脆性断裂过程中的精度和能力。版权所有 © 2013 约翰·威利父子有限公司
As a hybrid method, the nodal‐based discontinuous deformation analysis (NDDA) greatly improves the stress accuracy within each DDA block by coupling a well‐defined finite element mesh inside the DDA block; at the same time, the NDDA inherits the unique block kinematics of the standard DDA method. Each finite element mesh line inside the DDA block is treated as a potential crack, which enables the transformation of the block material from continuum to discontinuum through the tensile and shear fracturing mechanism. This paper introduces a double minimization procedure into the NDDA method to further improve the accuracy of the stresses evaluated at the finite element mesh lines and thus to obtain a more realistic fracture model. Three numerical examples are employed to demonstrate the improved stress accuracy by the implemented double minimization procedure and the accuracy and capability of the enhanced NDDA method in capturing brittle fracturing process. Copyright © 2013 John Wiley & Sons, Ltd.