Three-dimensional discontinuous deformation analysis derived from the virtual work principle with a simplex integral on the boundary
Three-dimensional discontinuous deformation analysis derived from the virtual work principle with a simplex integral on the boundary
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基于虚功原理的边界单纯形积分三维不连续变形分析
DOI：
10.1016/j.compgeo.2022.104710
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发表时间：
2022-06
影响因子：
5.3
通讯作者：
Hong Zhang
中科院分区：
文献类型：
--
作者：
Xi Wang;Wei Wu;Hehua Zhu;Hong Zhang
三维非连续变形分析（3D-DDA）是一种基于最小势能原理的变形离散元方法。然而，该原理并不容易适用于所有的本构模型，并且某些力没有相应的势能，这可能会阻碍DDA应用于更复杂的问题。此外，由于3D中的单纯形积分只能应用于四面体，因此在3D-DDA中没有针对3D块的多边形边界的精确积分。因此，在3D DDA中很少采用面约束。本研究从虚功原理推导出DDA控制方程式。应力，惯性，点力，面载荷，体力，固定边界，滚子边界，螺栓，隐式接触力和显式接触力的子矩阵重新制定。利用标量场的面积分和二维单纯形积分，给出了三维块体多边形边界上的精确积分。数值算例验证了该方法的正确性和面约束的优点。
Three-dimensional discontinuous deformation analysis (3D-DDA) is a powerful deformable discrete element method that is derived from the principle of minimum potential energy. However, the principle cannot be easily applied for all constitutive models, and certain forces do not have corresponding potential energy, which can impede DDA from being applied to more complex problems. In addition, since simplex integration in 3D can only be applied to tetrahedrons, no accurate integral is presented in 3D-DDA for polygonal boundaries of 3D blocks. Thus, face constraints have rarely been employed in 3D DDA. This study derives the DDA governing equation from the virtual work principle. The submatrices of stress, inertia, point force, face loading, body force, fixed boundary, roller boundary, bolts, implicit contact forces, and explicit contact forces are reformulated. An accurate integral on polygonal boundaries of 3D blocks is specified with the face integral of scalar fields and 2D simplex integration. Several numerical examples corroborate the correctness of the reformulation and merits of the face constraints.
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影响因子：
3.7
作者：
Jian Hong Wu;Y. Ohnishi;G. Shi;S. Nishiyama
通讯作者：
Jian Hong Wu;Y. Ohnishi;G. Shi;S. Nishiyama
DOI：
10.1016/j.advengsoft.2011.09.010
发表时间：
2012-03
期刊：
Adv. Eng. Softw.
影响因子：
--
作者：
H. Bao;Zhiye Zhao
通讯作者：
H. Bao;Zhiye Zhao
影响因子：
5.3
作者：
Ming-yao Xia;Guang-qi Chen;Longxiao Guo
通讯作者：
Ming-yao Xia;Guang-qi Chen;Longxiao Guo
不连续变形分析中基于角度的接触检测
影响因子：
6.2
作者：
Zhang Hong;Zhang Jing-wen;Wu Wei;Wang Xi;Zhu Hehua;Lin Jeen-shang;Chen Jian-gang
通讯作者：
Chen Jian-gang
影响因子：
5.3
作者：
Xi Wang;Wei Wu;Hehua Zhu;Hong Zhang;Jeen-Shang Lin
通讯作者：
Xi Wang;Wei Wu;Hehua Zhu;Hong Zhang;Jeen-Shang Lin