功能梯度弹性材料弱间断界面的周期反平面裂纹  

Periodic Fracture Analysis of A Weak-discontinuous Interface in A Functionally Graded Strip Sandwiched between Two Graded Layers of Finite Thickness

作　　者：时朋朋[1] 霍华颂[1] 李星[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2013年第1期16-21,30,共7页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10962008;51061015);高等学校博士学科点专项科研基金资助项目(博导类20116401110002)

摘　　要：建立了功能梯度层合材料弱间断界面的断裂分析模型:材料由3种不同的功能梯度弹性层粘接而成,置于反平面载荷作用下,考虑周期界面裂纹问题.采用分离变量和Hilbert核奇异积分方程方法求解该断裂问题.通过讨论断裂参数各种不同取值所对应问题的数值解,分析了功能梯度非均匀参数、功能梯度层厚度以及裂纹与周期带长度比等对应力强度因子的影响.The periodic crack configuration, i. e. , a periodic array of interfacial cracks contained in a functionally graded strip sandwiched between two graded layers of finite thickness, is considered. Variables separation and dislocation density functions are employed to reduce the mixed-boundary value problem to a singular integral equation of Hilbert kernel, which is solved numerically by standard Lobatto- Chebyshev quadrature technique. The effects of the FGM nonhomogeneity, the layers thickness, and the crack spacing on the fracture parameter are discussed in detail.

关 键 词：功能梯度弹性材料 弱间断界面 周期裂纹 Hilbert核奇异积分方程 应力强度因子 

分 类 号：O346.11[理学—固体力学]