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Analytical solution for an arbitrarily oriented void crack and fracture of piezoceramics

机译:压电陶瓷任意取向空隙裂纹和断裂的解析解

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The solutions for a piezoelectric plane with an arbitrarily oriented elliptical void and a crack are derived by the method of extended Lekhnitskii's formalism. Analytical solutions are obtained for all electroelastic field Variables around the Void and at the crack tip. The generalized solutions presented in this study can be reduced to the results reported in the literature for special cases of defect orientation, i.e. defects parallel or perpendicular to the poling direction. It is found that the effect of defect orientation on the electroelastic fields around a void and at the crack tip is rather subtle. Solutions for defects oriented parallel or perpendicular to polarization cannot be always considered as the critical case. A change of crack orientation may alter the trend of toughness variation, and initiate failure along different planes or cause crack closure depending on the direction of electrical field and ratio of electrical to mechanical loading. It is shown that a positive electric held may retard or enhance crack growth depending on the orientation of a crack with respect to the polarization direction, and a negative one tends to close a crack except for the crack parallel to the poling direction. (C) 1999 Acta Metallurgica Inc. Published by Elsevier Science Ltd. All rights reserved. References: 18
机译:具有任意取向椭圆空隙和裂纹的压电平面的解是通过扩展 Lekhnitskii 形式主义的方法推导的。获得空隙周围和裂纹尖端处所有电弹性场变量的解析解。本研究中提出的广义解可以简化为文献中报道的缺陷取向特殊情况的结果,即平行于或垂直于极化方向的缺陷。结果发现,缺陷取向对空隙周围和裂纹尖端的电弹性场的影响相当微妙。平行或垂直于极化的缺陷的解决方案不能总是被视为关键情况。裂纹方向的变化可能会改变韧性变化的趋势,并根据电场方向和电气载荷与机械载荷的比而沿不同平面引发破坏或导致裂纹闭合。结果表明,根据裂纹相对于极化方向的方向,正电保持可以延缓或增强裂纹扩展,而负电保持倾向于闭合裂纹,但平行于极化方向的裂纹除外。(c) 1999年Acta Metallurgica Inc.,由Elsevier Science Ltd.出版。保留所有权利。[参考资料: 18]

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