应用数学和力学2011，Vol.32Issue(1)：72-78,7.DOI:10.3879/j.issn.1000-0887.2011.01.008
有限高狭长压电体中半无限反平面裂纹分析
Anti-Plane Analysis of a Semi-Infinite Crack in a Piezoelectric Strip
摘要
Abstract
Using the complex variable function method and the technique of conformal mapping, the fracture problem of a semi-infinite crack in a piezoelectric strip was studied under the anti-plane shear stress and in-plane electric load.The analytical solutions of the field intensity factors and the mechanical strain energy release rate were presented with the assumption that the surface of the crack was electrically impermeable.When the height of the strip tends to infinity, the analytical solutions of an infinitely large piezoelectric solid with a semi-infinite crack were obtained.Moreover, the present results can be reduced to the well-known solutions for a purely elastic material in the absence of electric loading.In addition, numerical examples were conducted to analyze the influences of loaded crack length, the height of the strip and applied mechanical/electric loads on the mechanical strain energy release rate.关键词
狭长压电体/半无限裂纹/复变函数方法/场强度因子/机械应变能释放率分类
数理科学引用本文复制引用
郭俊宏,刘萍,卢子兴,秦太验..有限高狭长压电体中半无限反平面裂纹分析[J].应用数学和力学,2011,32(1):72-78,7.基金项目
国家自然科学基金资助项目(10932001 （）
11072015) （）
北京市教育委员会共建项目建设计划资助项目(KZ201010005003) （KZ201010005003）
高等学校博士学科点专项科研基金资助项目(20101102110016) （20101102110016）
