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首页> 外文期刊>Engineering Fracture Mechanics >A simplified evaluation of the mechanical energy release rate of kinked cracks in piezoelectric materials using the boundary element method
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A simplified evaluation of the mechanical energy release rate of kinked cracks in piezoelectric materials using the boundary element method

机译：使用边界元法测定压电材料扭结裂缝机械能释放速率的简化评价

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摘要

Based on the concept of the hoop field intensity factors of an initial crack prior to any kink, an apparent hoop mechanical (strain) energy release rate (MERR) is defined to approximate the MERR of a piezoelectric crack with an infinitesimal kink at any arbitrary angle. The validity and the efficiency of the simplified approximation are examined by numerical examples using the boundary element method (BEM). The generalized crack-opening-displacements or displacement jumps are computed by the traction boundary integral equations (BIEs). By using the displacement extrapolation method, the crack-tip field intensity factors of any arbitrarily kinked crack in linear piezoelectric materials are obtained and the BEM results are validated by comparing them with the available reference analytical results. Then, the differences between the conventional field intensity factors and MERR of an infinitesimally kinked crack and the hoop field intensity factors and hoop MERR of the main crack prior to any kink are numerically analyzed. Finally, the crack propagation in an infinite linear piezoelectric material is numerically simulated. The paths of the crack growth are predicted by adopting four different fracture criteria, namely, the maximum hoop stress intensity factor (SIF) and MERR fracture criteria for the main crack-tip before the next propagation, and the maximum K-1 and MERR fracture criteria for the kinked tip of the main crack with an infinitesimal branch at an arbitrary kinking angle evaluated by using a trial crack extension technique. The comparisons among these results show that the present simplified approximation can efficiently provide a sufficient accuracy for numerical simulation of crack growth in linear piezoelectric materials. (C) 2017 Elsevier Ltd. All rights reserved.
机译：基于在任何扭结之前初始裂纹的箍田强度因子的概念，明显的箍机械（应变）能量释放速率（MERR）被定义为在任何任意角度下用无限的角度近似压电裂纹的MERR 。使用边界元方法（BEM）通过数值示例检查简化近似的有效性和效率。通过牵引边界积分方程（Bies）计算的广义裂缝开口位移或位移跳跃。通过使用位移外推方法，获得了在线性压电材料中任何任意扭结裂缝的裂缝尖端场强度因子，并通过将其与可用参考分析结果进行比较来验证BEM结果。然后，在数值分析了在任何扭结之前的无限扭结裂缝和箍场强度因子和箍场强度因子和箍柱Merr之间的常规场强因子和Merr之间的差异。最后，在数值上模拟了无限线性压电材料中的裂缝传播。通过采用四种不同的骨折标准，即主要箍应力强度因子（SIF）和MERR骨折标准在下一次传播之前的最大箍应力强度因子（SER断裂标准，以及最大K-1和MERR断裂的裂缝生长的路径通过使用试验裂缝延伸技术评估了主要裂缝的主裂纹的扭结尖端的标准。这些结果的比较表明，本简化的近似可以有效地提供了线性压电材料裂纹生长的数值模拟的足够精度。 （c）2017 Elsevier Ltd.保留所有权利。

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