横观各向同性压电空间中圆裂纹与合成点源的三维相互作用

候鹏飞; 丁皓江; 梁以德

横观各向同性压电空间中圆裂纹与合成点源的三维相互作用

1.
湖南大学工程力学系,长沙 410082;2.浙江大学土木工程学院,杭州 310027;3.香港城市大学建筑工程系,香港

基金项目: 国家自然科学基金资助项目(10472102);湖南省青年骨干教师基金资助项目(521105236)

详细信息

中图分类号: O343.2
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出版历程
- 收稿日期: 2005-08-16
- 修回日期: 2006-08-05
- 刊出日期: 2006-11-15

Three-Dmensional Interactions of a Circular Crack in a Transversely Isotropic Piezoelectric Space With Resultant Sources

1.
Deptartment of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China;

摘要

摘要: 研究了横观各向同性压电空间中的圆裂纹与包括力偶极子、电偶极子、点力矩、力张和力旋这些常见合成点源的相互作用．用初等函数的形式给出了在任意位置和方向的合成点源作用下，裂纹尖端3种应力强度因子和电位移强度因子的三维解．其中圆裂纹包括币形裂纹和外圆裂纹．这一系列的力电合成点源不仅其自身在工程中普遍存在，而且在某些情形下还可以模拟诸如微裂纹、空洞、夹杂和位错等缺陷．
- 压电 /
- 圆裂纹 /
- 合成点源 /
- 强度因子
Abstract: Exact solutions in form of elementary functions were derived for the stress and electric displacement intensity factors of a circular crack in a transversely isotropic piezoelectric space interacting with various stress and charge sources:force dipoles,electric dipoles,moments,force dilatation and rotation.The circular crack includes penny-shaped crack and external circular crack and the locations and orientations of these resultant sources with respect to the crack are arbitrary.Such stress and charge sources may model defects like vacancies,foreign particles,and dislocations.Numerical results are presented at last.
- piezoelectric space /
- circular crack /
- resultant source /
- intensity factor

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参考文献(17)

[1]	Sosa H A,Pak Y E.Three-dimensional eigenfunction analysis of a crack in a piezoelectric material[J].Internat J Solids and Structures,1990,26(1):1—15. doi: 10.1016/0020-7683(90)90090-I
[2]	Pak Y E.Linear electro-elastic fracture mechanics of piezoelectric materials[J].Internat J Fracture,1992,54(1):79—100. doi: 10.1007/BF00040857
[3]	Wang B.Three-dimensional analysis of a flat elliptical crack in a piezoelectric material[J].Internat J Engng Sci,1992,30(6):781—791. doi: 10.1016/0020-7225(92)90107-R
[4]	Kogan L,Hui C- Y,Molkov V.Stress and induction field of a spheroidal inclusion or a penny-shaped crack in a transversely isotropic piezoelectric material[J].Internat J Solids and Structures,1996,33(19):2719—2737. doi: 10.1016/0020-7683(95)00182-4
[5]	Huang J H A.Fracture criterion of a penny-shaped crack in transversely isotropic piezoelectric media[J].Internat J Solids and Structures,1997,34(20):2631—2644. doi: 10.1016/S0020-7683(96)00160-6
[6]	Chen W Q.Exact solution of a semi-infinite crack in an infinite piezoelectric body[J].Arch Applied Mechanics,1999,69(5):309—316. doi: 10.1007/s004190050222
[7]	胡玉林，侯密山.各向异性压电材料平面裂纹的耦合分析[J].固体力学学报，2000,21(4):325—329.
[8]	王旭，沈亚鹏.三相压电复合本构模型中的弧形界面裂纹[J].固体力学学报，2001,22(4):329—345.
[9]	HOU Peng-fei,DING Hao-jiang,Guan F L.Exact solution to the problem of a half-plane crack in a transversely isotropic piezoelectric body subjected to antisymmetric tangential point forces[J].Acta Mechanica Solida Sinica A,2001,14(2):176—182.
[10]	Chen W Q,Shioya T S.Fundamental solution for a penny-shaped crack in a piezoelectric medium[J].J Mechanics and Physics of Solids,1999,47(7):1459—1475. doi: 10.1016/S0022-5096(98)00114-8
[11]	Chen W Q,Shioya T S.Complete and exact solutions of a penny-shaped crack in a piezoelectric solid: antisymmetric shear loadings[J].Internat J Solids and Structures,2000,37(18):2603—2619. doi: 10.1016/S0020-7683(99)00113-4
[12]	Chen W Q,Shioya T S.Green's functions of an external circular crack in a transversely isotropic piezoelectric medium[J].JSME International Journal,Ser A,1999,42:73—79. doi: 10.1299/jsmea.42.73
[13]	Chen W Q,DING Hao-jiang,HOU Peng-fei.Exact solution of an external circular crack in a piezoelectric solid subjected to shear loading[J].Journal of Zhejiang University (Science),2001,2(1):9—14. doi: 10.1631/jzus.2001.0009
[14]	DING Hao-jiang,Chen W Q.Three Dimensional Problems of Piezoelectricity[M].New York: Nova Science Publishers, 2001.
[15]	Wang J W,Kuang Z B.The interaction between crack and dipole of piezoelectricity[J].Acta Mechanica Solida Sinica A,2000,13(4):1—7.
[16]	HOU Peng-fei,Pan X P,DING Hao-jiang.Three-dimensional interactions of a half-plane crack in a transversely isotropic piezoelectric space with resultant sources[J].Acta Mechanica Solida Sinica A,2005,18(3):265—271.
[17]	Dunn M L,Taya M.Electroelastic field concentrations in and around inhomogenetties in piezoelectric solids[J].ASME J Appl Mech,1994,61(2):474—475. doi: 10.1115/1.2901471