压电陶瓷板中非电渗透型反平面裂纹的电弹性场

李显方; 范天佑

压电陶瓷板中非电渗透型反平面裂纹的电弹性场

李显方¹,
范天佑²

1.
湖南师范大学理学院, 长沙 410081;
2.
北京理工大学材料科学研究中心, 北京 100081

详细信息

作者简介:
李显方(1964- ),男,湖南人,教授,博士.

中图分类号: O346.1
计量
- 文章访问数: 2428
- HTML全文浏览量: 157
- PDF下载量: 666
- 被引次数: 0
出版历程
- 收稿日期: 2000-06-20
- 修回日期: 2001-10-09
- 刊出日期: 2002-02-15

Electroelastic Field for an Impermeable Anti-Plane Shear Crack in a Piezoelectric Ceramics Plate

LI Xian-fang¹,
FAN Tian-you²

1.
College of Science, Hunan Normal University, Changsha 410081, P R China;
2.
Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, P R China

摘要

摘要: 对受4种机电载荷的内含裂纹的压电陶瓷板的电弹性行为进行了分析。利用积分变换方法将非电渗透型反平面裂纹问题化为对偶积分方程组,求解这些方程组可以获得裂纹线上电弹性场的明显解析表达式,及裂尖处一些量的强度因子和机械应变能释放率。当板的厚度趋近于无穷大时,所得结果还原为熟知结果。
- 压电陶瓷 /
- 电弹性场 /
- 反平面问题 /
- 非电渗透型裂纹
Abstract: Electroelastic behavior of a cracked piezo electric ceramics plate subjected to four cases of combined mechanical-electrical loads was analyzed. The integral transform method was applied to convert the problem involving an impermeable anti-plane crack to dual integral equations. Solving the resulting equations, the explicit analytic expressions for electr oelastic field along the crack line and the intensity factors of relevant quantities near the crack tip and the me chanical strain energy releaser ate were obtained. The known results for an infinite piezoelectr icceramics plane containing an impermeable anti-plane crack are recovered from the present results only if the thickness of the plate hy.
- piezoelectirc ceramics /
- electroelastic field /
- anti-planes hear problem /
- impermeable crack

HTML全文

参考文献(14)

[1]	Pak Y E.Crack extension force in a piezoelectric material[J].J Appl Mech,1990,57(3):647-653.
[2]	Li S P,Cao W,Cross L E.Stress and electric displacement distribution near Griffith's type Ⅲ crack tips in piezoceramics[J].Mater Lett,1990,10(6):219-222.
[3]	Dunn M L.The effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids[J].Eng Frac Mech,1994,48(1):25-39.
[4]	Zhang T Y,Tong P.Fracture mechanics for mode Ⅲ crack in a piezoelectric material[J].Int J Solids Structures,1996,33(3):343-359.
[5]	侯密山、梅甫良.不同压电材料反平面应变状态下的电渗透型界面裂纹[J].科学通报,1998,43(2):216-221.
[6]	Dascalu C,Maugin G A.On the dynamic fracture of piezoelectric materials[J].Quart J Mech Appl Math,1995,48(2):237-255.
[7]	陈增涛,余寿文.反平面冲击下压电介质的裂纹尖端场[J].科学通报,1997,42(15):1413-1427.
[8]	Li S F,Mataga P A.Dynamic crack propagation in piezoelectric materials-part Ⅰ Electrode solution[J].J Mech Phys Solids,1996,44(11):1799-1830.
[9]	Li S F,Mataga P A.Dynamic crack propagation in piezoelectric materials-part Ⅱ Vacuum solution[J].J Mech Phys Solids,1996,44(11):1830-1866.
[10]	Li X F,Fan T Y,Wu X F.A moving mode-Ⅲ crack at the interface between two dissimilar piezoelectric materials[J].Int J Eng Sci,2000,38(11):1219-1234.
[11]	Shindo Y,Tanaka K,Narita F.Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear[J].Acta Mech,1997,120(1):31-45.
[12]	Parton V Z,Kudryavstev B A.Electromagnetoelasticity[M].New York:Gordon and Breach,1988.
[13]	Singh B M,Moodie T B,Haddow J B.Closed-form solutions for finite length crack moving in a strip under anti-plane shear stress[J].Acta Mech,1981,38(2):99-109.
[14]	Park S,Sun C T.Fracture criteria for piezoelectric ceramics[J].J Am Ceram Soc,1995,78(6):1475-1480.