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刚性电极夹持的压电陶瓷层中含Ⅲ型裂纹的解析解

ANALYTICAL SOLUTION OF ELECTROELASTIC FIELD FOR A MODE-Ⅲ CRACK IN A PIEZOELECTRIC LAYER
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摘要 分析了刚性电极所夹持的压电陶瓷层的中平面上含有III型穿透裂纹的电弹性问题 .利用积分变换和对偶积分方程方法 ,采用绝缘型和导电型裂纹两种假设 ,分别获得了有限长和半无限长裂纹的电弹性行为的精确解析解 .并给出了相应的场强度因子和能量释放率 . The electroelastic problem involving a mode-Ⅲ crack located at the mid-plane of a piezoelectric layer bonded to two rigid electrodes is analyzed. Using integral transform and dual integral equation method, the explicit expressions for the electroelastic field are obtained for an impermeable crack and a conducting crack, respectively. The field intensity factors and the energy release rate are given. The results for a semi-infinitely long crack are further derived.
出处 《固体力学学报》 CAS CSCD 北大核心 2002年第3期330-334,共5页 Chinese Journal of Solid Mechanics
关键词 刚性电极 夹持 压电陶瓷层 Ⅲ型裂纹 电弹性场 精确解析解 积分变换 场强度因子 electroelastic field, mode-Ⅲ crack, energy release rate, piezoelectric layer
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