功能梯度管环形裂纹扭转冲击特性分析  

TORSIONAL IMPACT RESPONSE OF A CYLINDRICAL CRACK IN A FUNCTIONALLY GRADED PIPE

作　　者：聂辉[1] 冯文杰[1] 

机构地区：[1]石家庄铁道学院工程力学系,河北石家庄050043

出　　处：《工程力学》2009年第9期197-200,共4页Engineering Mechanics

摘　　要：该文研究了含环形裂纹功能梯度管的扭转冲击问题。假定管的剪切模量和密度是梯度变化的。应用拉普拉斯和傅里叶积分变换,引进位错密度函数,将问题首先化为拉普拉斯域内Cauchy奇异积分方程,然后化为代数方程,并进行数值求解。通过拉普拉斯逆变换得到时域动应力强度因子(DSIF)。结果表明:DSIF很快达到一个峰值,然后以衰减的幅值振荡,最后趋于相应的静态值;裂纹位置、管的厚度及材料梯度对DSIF都有很大影响。A torsional impact problem of a cylindrical crack in a functionally graded pipe is investigated. The shear modulus and mass density of the pipe are assumed to vary continuously. The mixed boundary value problem is first reduced to a singular integral equation with a Cauchy type kernel in the Laplace domain by applying Laplace and Fourier integral transforms and by introducing a dislocation density function. The singular integral equation is then solved numerically and the dynamic stress intensity factor （DSIF） in the physical domain is also obtained by a numerical inverse Laplace transform technique. Numerical results show that the DSIF rises rapidly to a main peak and then oscillates with a decreasing magnitude and tends to the corresponding static value, and that the crack position, thickness and material gradient of the pipe are able to influence significantly on the DSIF.

关 键 词：功能梯度材料 应力强度因子 环形裂纹 扭转冲击 管 

分 类 号：O347.3[理学—固体力学]