Periodic interfacial cracks in dissimilar piezoelectric materials under the influence of Maxwell stress
Periodic interfacial cracks in dissimilar piezoelectric materials under the influence of Maxwell stress
复制标题
麦克斯韦应力影响下异种压电材料的周期性界面裂纹
DOI：
10.1007/s11012-019-01110-3
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发表时间：
2020
期刊：
影响因子：
2.7
通讯作者：
Gao Cunfa
中科院分区：
文献类型：
--
作者：
Pei Pengyu;Yang Guang;Shi Yan;Gao Cunfa
本文提出了一种考虑麦克斯韦应力的分析方法，研究了在均匀机电载荷作用下含周期裂纹的不同压电材料。利用斯特罗的形式和保角变换，得到了介电常数为常数的半渗透裂纹的电场和应力场。提出了一种求解裂纹张开位移解析解的近似方法，并用已有解和数值积分进行了验证。利用本文提出的方法，得到了裂纹电位移场、应力和电位移强度因子的计算结果。数值结果表明，在静态均布力电载荷作用下，裂纹内部存在均匀的电位移场，且电位移场与裂纹的分布和尺寸无关。另外，当周期性裂纹的差距超过裂纹长度的4倍时，电场强度与单一界面裂纹的情况大致相同。
This paper presents an analytical method to investigate the dissimilar piezoelectric materials containing periodic cracks in the presence of uniform electromechanical loads with consideration of the Maxwell stress. Using Stroh’s formalism and conformal mapping, electric and stress fields are obtained for the semi-permeable cracks with a constant dielectric parameter. An approximate method is developed to obtain the analytical solution to the crack opening displacement, and which is validated by the pre-existing solution and with numerical integral. Using the method developed in this paper, the results of the electric displacement field in cracks, the stress, and electric displacement intensity factors are obtained. The numerical results show uniform electric displacement field inside in cracks, and it is independent of the distribution or the size of cracks when under static uniform electromechanical loads. Additionally, it is found that the field intensity is roughly the same as that in the case of a single interfacial crack when the gap of periodic crack exceeds four times the crack length.