Effect of quadratically varying electric potential on the multiple cracks in piezoelectric materials

Irshad Saifi, S. Hasan
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Abstract

A basic solution to the problem of three collinear equal cracks in a transversely isotropic piezoelectric material plate is obtained under the influence of electromechanical forces. Stroh formalism and complex variable methods are used to derive the mathematical expressions for SIF (stress intensity factor), COD (crack opening displacement), and COP (crack opening potential). The length of the saturation zones is investigated at each crack tip under the influence of quadratically varying electric displacement. Furthermore, a numerical study is carried out to discuss the effect of quadratically varying electrical potential on the saturation zone, COD, and COP. The results obtained numerically are reported graphically.
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二次变化电势对压电材料多重裂纹的影响
在机电力的影响下,获得了横向各向同性压电材料板中三条相等裂纹的基本解。利用斯特罗形式主义和复变方法推导出了 SIF(应力强度因子)、COD(裂缝张开位移)和 COP(裂缝张开势能)的数学表达式。在二次变化电位移的影响下,研究了每个裂纹尖端饱和区的长度。此外,还进行了数值研究,以讨论二次变化的电动势对饱和区、COD 和 COP 的影响。数值结果以图表形式报告。
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