Rigid body rotation and block internal discretization in DDA analysis
Rigid body rotation and block internal discretization in DDA analysis
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DOI：
10.1002/(sici)1096-9853(200005)24:6
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发表时间：
2000-05
影响因子：
4
通讯作者：
Yung-ming Cheng;Y. H. Zhang
中科院分区：
文献类型：
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作者：
Yung-ming Cheng;Y. H. Zhang
在 Shi 最初提出的 DDA 公式中，使用了线性位移函数项。这具有由于刚体旋转而导致不受控制的块和应力变形的局限性。在本文中，作者提出了一种新的迭代方法，即使在旋转或时间步数很大时也可以避免由于旋转引起的失真。此外，作者提出了一种简单的内部离散化方案，该方案适用于凹多边形和凸多边形，这对于大块尤其重要。在该方案下可以轻松获得大块体的应力和应变分布。所示的数值例子证明了本提案在 DDA 分析中的优势。版权所有 © 2000 约翰·威利父子有限公司
In the original formulation of DDA by Shi, a linear displacement function term is used. This has the limitations of uncontrolled block and stress distortion due to rigid body rotation. In the present paper, the authors propose a new iterative method which can avoid the distortion due to the rotation even when the rotation or number of time-step is large. Furthermore, the authors propose a simple internal discretization scheme which is applicable for both concave and convex polygon which is particularly important for a large block. The stress and strain distribution with a large block can be obtained with ease under this scheme. The numerical examples as shown have demonstrated the advantages of the present proposal in DDA analysis. Copyright © 2000 John Wiley & Sons, Ltd.