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J4  2009, Vol. 43 Issue (11): 2043-2047    DOI: 10.3785/j.issn.1008-973X.2009.11.018
    
Path iterative method for laser-controlled crack propagation and its convergence
YANG Xing-wang1, BI Guo-li1,2, ZHANG Xue1,3, TAO Wei-ming1
(1. School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China;
2. Yinzhou Middle School, Ningbo 315101, China;
3. China Guangdong Nuclear Power Group, Shenzhen 518028, China)
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Abstract  

An iterative method for laser scanning path was presented to induce and control a crack propagating along a predetermined asymmetric trajectory in a brittle plate, and the effects of control parameters on the convergence were investigated. Based on PID control theory, an iterative formulation for laser scanning path was developed, which is composed of the deviation of crack from the predetermined trajectory and its integral and differential. The deviation of crack was evaluated by the crack propagation angle calculated from the simulation of enforced crack growth along the predetermined line, which avoiding the adaptive crack propagation analysis and the corresponding finite element remeshing. Path iterative analysis for typical examples was carried out by choosing various control parameters of proportion, integral and differential. Results show that the proportion parameter has obvious influence on the convergence, and the relative greater value is advantageous, while the differential control parameter needs to be small enough. Furthermore, adaptive crack propagation simulation shows that the crack propagation can be induced and controlled along a predetermined trajectory as the laser scanning along the converged path, which demonstrates the validity of the present method.



Published: 01 November 2009
CLC:  O 346  
  O 343  
Cite this article:

YANG Xin-Wang, BI Guo-Li, ZHANG Xue, et al. Path iterative method for laser-controlled crack propagation and its convergence. J4, 2009, 43(11): 2043-2047.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2009.11.018     OR     http://www.zjujournals.com/eng/Y2009/V43/I11/2043


激光控制裂纹扩展的路径迭代法及收敛性分析

为了诱导和控制脆性材料板中裂纹沿非对称的预定轨迹扩展,给出一种求取激光扫描路径的迭代法,分析控制参数对收敛性的影响.基于PID控制理论,将裂纹扩展的实际轨迹与预定轨迹的偏差及其积分和微分项的组合构成激光扫描路径的迭代算式,通过强制裂纹按预定轨迹扩展的仿真分析,求得各步的扩展方向,并依此估计裂纹路径的偏差,避免了裂纹的自适应扩展分析及相应的网格重划分.选取不同的比例、积分和微分控制参数对典型实例进行路径迭代分析,结果表明比例控制参数对收敛性影响明显,较大的比例控制参数值有利于迭代的收敛,而微分控制参数应取较小的值.自适应裂纹扩展仿真分析显示,当激光沿迭代所得路径扫描时能够有效地诱导和控制裂纹沿预定轨迹扩展,证明了提出方法的有效性.

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