## 留言板

 引用本文: 仲政. 压电材料椭圆夹杂界面局部脱粘问题的分析[J]. 应用数学和力学, 2004, 25(4): 405-416.
ZHONG Zheng. Analysis of a Partially Debonded Elliptic Inhomogeneity in Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2004, 25(4): 405-416.
 Citation: ZHONG Zheng. Analysis of a Partially Debonded Elliptic Inhomogeneity in Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2004, 25(4): 405-416.

• 中图分类号: O343

## Analysis of a Partially Debonded Elliptic Inhomogeneity in Piezoelectric Materials

• 摘要: 利用复变函数方法，研究在反平面剪切和面内电场共同作用下压电材料椭圆夹杂的界面脱粘问题．假定夹杂界面脱粘导致了界面电绝缘型裂纹的产生．通过保角变换和解析延拓，将原问题化为两个黎曼-希尔伯特问题，获得了夹杂和基体复势的级数解，进而求得应力变形场以及夹杂-基体界面脱粘的能量释放率的一般表达式．通过理想粘结的椭圆夹杂、完全脱粘的椭圆夹杂、局部脱粘的刚性导体椭圆夹杂、局部脱粘的圆形夹杂等特例的分析说明了该解的有效性和通用性．
•  [1] Wang B. Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material[J]. Int J Solids Structures,1992,29(3): 293—308. [2] Benveniste Y. The determination of the elastic and electric fields in a piezoelectric inhomogeneity [J].J Appl Phys, 1992,72(3):1086—1095. doi: 10.1063/1.351784 [3] Dunn M，Taya M. Micromechanics predictions of the effective electro-elastic moduli of piezoelectric composites [J].Int J Solids Structures, 1993, 30(2): 161—175. [4] Zhang T Y，Tong P. Fracture mechanics for a mode Ⅲ crack in a piezoelectric material [J].Int J Solids Structures,1996,33(3): 343—359. [5] Meguid S A，Zhong Z. Electroelastic analysis of a piezoelectric elliptic inhomogeneity [J].Int J Solids Structures, 1997,34(26): 3401—3414. [6] Zhong Z，Meguid S A. Interfacial debonding of a circular inhomogeneity in piezoelectric materials[J].Int J Solids Structures, 1997,34(16): 1965—1984. [7] ZHONG Zheng. Electroelastic analysis of a partially debonded inhomogeneity in piezoelectric materials[J].Key Engineering Materials,1998,145-149(2): 971—976. [8] Deng W，Meguid S A. Interfacial debonding of an elliptic inhomogeneity in piezoelectric solids [J]. ASME J Appl Mech,1998,66(4):1037—1040.

##### 计量
• 文章访问数:  2532
• HTML全文浏览量:  44
• PDF下载量:  689
• 被引次数: 0
##### 出版历程
• 收稿日期:  2002-08-23
• 修回日期:  2003-09-16
• 刊出日期:  2004-04-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈