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含垂直极化方向穿透的共线半无限裂纹的狭长压电体的平面问题

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Keywords: 狭长压电体,共线半无限裂纹,广义保角映射,场强度因子

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Abstract:

通过构造新的广义保角映射,利用广义复变函数方法研究了在电不可渗透边界条件下含有沿垂直于极化方向穿透的共线半无限裂纹的狭长压电体的平面问题,给出了裂纹尖端处的各场强度因子的解析解。此外,当狭长体高度和裂纹尺寸按一定的趋势变化时,还可以得到压电复合材料另外几种新构型的平面问题的解析解。通过数值算例分析得到了两裂纹之间的距离、狭长体的高度及裂纹面上的受载长度对场强度因子的影响规律。

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