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首页> 外文期刊>International Journal of Solids and Structures >2D dynamic analysis of cracks and interface cracks in piezoelectric composites using the SBFEM
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2D dynamic analysis of cracks and interface cracks in piezoelectric composites using the SBFEM

机译：使用SBFEM的压电复合材料裂纹和界面裂纹的二维动态分析

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摘要

The dynamic stress and electric displacement intensity factors of impermeable cracks in homogeneous piezoelectric materials and interface cracks in piezoelectric bimaterials are evaluated by extending the scaled boundary finite element method (SBFEM). In this method, a piezoelectric plate is divided into polygons. Each polygon is treated as a scaled boundary finite element subdomain. Only the boundaries of the subdomains need to be discretized with line elements. The dynamic properties of a subdomain are represented by the high order stiffness and mass matrices obtained from a continued fraction solution, which is able to represent the high frequency response with only 3–4 terms per wavelength. The semi-analytical solutions model singular stress and electric displacement fields in the vicinity of crack tips accurately and efficiently. The dynamic stress and electric displacement intensity factors are evaluated directly from the scaled boundary finite element solutions. No asymptotic solution, local mesh refinement or other special treatments around a crack tip are required. Numerical examples are presented to verify the proposed technique with the analytical solutions and the results from the literature. The present results highlight the accuracy, simplicity and efficiency of the proposed technique.
机译：通过扩展比例边界有限元方法（SBFEM），评估了均质压电材料中不可渗透裂纹和压电双材料中界面裂纹的动应力和电位移强度因子。在该方法中，压电板被分成多边形。每个多边形均视为缩放边界有限元子域。只有子域的边界需要与线元素离散化。子域的动态特性由连续分数解获得的高阶刚度和质量矩阵表示，该矩阵能够表示每个波长只有3-4个项的高频响应。半解析解可以精确，有效地模拟裂纹尖端附近的奇异应力和电位移场。动应力和电位移强度因子直接从比例边界有限元解中评估。不需要渐近解，局部网格细化或裂纹尖端周围的其他特殊处理。通过数值算例验证了所提出的技术的解析解和来自文献的结果。目前的结果突出了所提出技术的准确性，简单性和效率。

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