含中心裂纹的压电材料梁反平面问题的应力强度因子

英文篇名：Stress Intensity Factor of a Center Crack in a Rectangular Piezoelectric Body Under Anti-plane Ioading
中文刊名：铁道学报
英文刊名：Journal of The China Railway Society
作者：刘淑红 ; 段士杰 ; 薛雁 ; 邹振祝
英文作者：LIU Shu-hong~1 ; DUAN Shi-jie~2 ; XUE Yan~2 ; ZOU Zhen-zhu~2(1.School of Civil Engineering ; Northern Jiaotong University ; Beijing 100044 ; China ; 2.Department of Mechanics and Engineering Science ; Shijiazhuang Railway Institute ; Shijiazhuang 050043 ; China)
中文关键词：压电材料 ; Ⅲ型裂纹 ; 边界配置法 ; 应力强度因子
英文关键词：piezoelectric material ; mode-Ⅲ crack ; boundary collocation method ; stress intensity factor
出版日期：2004-02-10
机构：北京交通大学土建学院,石家庄铁道学院力学系,石家庄铁道学院力学系,石家庄铁道学院力学系北京100044 ,河北石家庄050043 ,河北石家庄050043 ,河北石家庄050043
年：2004
期：01
出版单位：铁道学报

摘要

研究了含中心裂纹的压电材料梁在反平面载荷作用下的问题 ,得到应力强度因子的表达式 ,并用边界配置法计算了应力强度因子与截面几何尺寸的关系。结果表明 ,这种半解析半数值的方法具有足够的精确性 ,计算简便 ,有广泛的应用性
An anti-plane shear problem of a piezoelectric material containing a center crack is analyzed. A general solution for the stress intensity factor is obtained. The boundary collocation method is used to calculate the relationship between the stress intensity factor and section geometry. It is shown that the method of half analytical and half numeral is accurate, simple and widely applicable.

引文

[1]PakYE .Crackextensionforceinapiezoelectricmaterial[J].J .Appl.Mech.,1990,57(3):647—653.
    [2]PakYE .Circularinclusionprobleminantiplanepiezoelectricity[J].Int.J .Solids&structs,1992,29(19):2403—2419.
    [3]ZhangTY ,TongP .FracturemechanicsforamodeIIIcrackinapiezoelectricmaterial[J].InternationalJournalofSolidsandStructures,1996,33(3):343—359.
    [4]ShindoY ,NaritaF ,TanakaK .Singularstressandelectricfieldsofapiezoelectricceramicstripwithafinitecrackunderlongitudi nalshear[J].ActaMechanica,1997,120(1—4):31—45.
    [5]李显方,范天佑.压电陶瓷带形中Ⅲ型裂纹的精确分析解[J].力学学报,2002,34(3):336—343.
    [6]KwonSM ,LeeKY .Analysisofstressandelectricfieldsinarectangularpiezoelectricbodywithacentercrackunderanti planeshearloading[J].InternationalJournalofSolidsandStructures,2000,37(35):4859—4869.
    [7]侯密山,梅甫良.不同压电材料反平面应变状态的电渗透界面裂纹[J].科学通报,1998,43(2):216—221.
    [8]范天佑.断裂力学基础[M].南京:江苏科学技术出版社,1978.
    [9]黎在良,王元汉,李廷芥.断裂力学中的边界数值方法[M].北京:地震出版社,1996.
    [10]WangYuanhan.SIFcalculationofaninternalcrackproblemun deranti planeshear[J].Computers&structures.1993,48(2):291—295.