论文标题
模式III裂纹的动态传播固体的晶格Boltzmann方法
Dynamic Propagation of Mode III Cracks in a Lattice Boltzmann Method for Solids
论文作者
论文摘要
这项工作介绍了使用晶格玻尔兹曼方法（LBM）用于线性弹性固体的概念和算法，以模拟动态断裂。该LBM先前已介绍并求解波方程，该方程被解释为抗平台剪切变形的管理方程。除了处方裂纹速度下裂纹的稳定生长外，已经实施了基于应力强度因子（SIF）的断裂标准。这是第一次，在LBM的背景下，考虑了具有机械相关标准的裂纹传播。检查数值结果以验证所提出的方法。此处引入的裂纹传播的概念不仅限于模式III裂纹或抗平台剪切的简化变形假设。通过在单个晶格站点级别的现有LBM中引入相当简单的处理步骤，可以保持LBM的整体性能。我们的发现强调了LBM作为数值工具的有效性，以模拟固体，尤其是动态裂缝。
This work presents concepts and algorithms for the simulation of dynamic fractures with a Lattice Boltzmann method (LBM) for linear elastic solids. This LBM has been presented previously and solves the wave equation, which is interpreted as the governing equation for antiplane shear deformation. Besides the steady growth of a crack at a prescribed crack velocity, a fracture criterion based on stress intensity factors (SIF) has been implemented. This is the first time, that crack propagation with a mechanically relevant criterion is regarded in the context of LBMs. Numerical results are examined to validate the proposed method. The concepts of crack propagation introduced here are not limited to mode III cracks or the simplified deformation assumption of antiplane shear. By introducing a rather simple processing step into the existing LBM at the level of individual lattice sites, the overall performance of the LBM is maintained. Our findings underline the validity of the LBM as a numerical tool to simulate solids in general as well as dynamic fractures in particular.
