Meshless simulation of brittle fracture

Meshless simulation of brittle fracture
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DOI:
10.1002/cav.412
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发表时间:
2011-04
影响因子:
1.1
通讯作者:
Ning Liu;Xiaowei He;Sheng Li;Guoping Wang
Ning Liu;Xiaowei He;Sheng Li;Guoping Wang
中科院分区:
计算机科学4区
文献类型:
--
作者:
Ning Liu;Xiaowei He;Sheng Li;Guoping Wang

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我们提出了一种无网格方法来模拟脆性断裂。对于脆性固体,应力计算可能很困难,因为脆性材料通常需要较小的时间步长,这会带来沉重的计算负担。此外,将脆性物体视为可变形体将导致不可避免的视觉伪影。我们将脆性物体视为完全刚体,并使用无网格局部 Petrov-Galerkin 作为准静态问题来求解脆性应力分布,因此视觉伪影消失并且不存在时间步限制。作为无网格框架,我们的方法具有易于在高应力区域周围重新采样以提高计算精度的优点。为了生成断裂件,与以前明确跟踪裂纹扩展的方法不同,我们还提出了一种新颖的基于损伤的模型。我们的模型支持用户控制断裂模式,这在模拟玻璃或木材等各向异性材料时特别有用。结果表明,我们的无网格框架在物理上是可行的并且是用户可控的。版权所有 © 2011 约翰·威利父子有限公司
We propose a meshless method to simulate brittle fracture. For brittle solids, stress computation can be difficult because brittle materials generally require small timesteps which bring about heavy computational burden. Furthermore, treating the brittle objects as deformable bodies will cause inevitable visual artifact. We treat the brittle objects as fully rigid bodies and solve the brittle stress distribution with Meshless Local Petrov‐Galerkin as a quasistatic problem, so visual artifact disppears and no timestep restriction exists. As a meshless framework, our method has the advantage of easy‐resampling around high stress areas to improve computation accuracy. To generate fractured pieces, unlike previous methods which explicitly track the crack propagation, we also present a novel damage based model. Our model supports user‐control of the fracture pattern which is especially useful when simulating anisotropic materials such as glass or wood. Results show that our meshless framework is physically feasible and user controllable. Copyright © 2011 John Wiley & Sons, Ltd.