无限长条各向异性功能梯度材料运动裂纹  

Moving crack of an infinite length strip in functionally graded material with restricted boundary

作　　者：李新刚[1] 毕贤顺[2] 初大勇[3] 程靳[1] 

机构地区：[1]哈尔滨工业大学航天科学与力学系,黑龙江哈尔滨150001 [2]黑龙江科技学院数力系,黑龙江哈尔滨150027 [3]大庆油田建设集团有限责任公司,黑龙江大庆163453

出　　处：《辽宁工程技术大学学报（自然科学版）》2007年第6期847-849,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：黑龙江省自然科学基金资助项目(A01-10);黑龙江省自然科学基金重点资助项目(ZJG04-08)

摘　　要：利用其材料剪切模量和密度的指数模型,通过Fourier积分变换导出无限长条各向异性功能梯度材料约束边界反平面Yoffe问题的对偶积分方程,利用Jacobi多项式将位移展开成级数形式,并采用Schmidt数值方法计算出了裂纹尖端的应力强度因子的动态半解析解和数值解,得出了裂纹运动速度、梯度参数、长条高度及不均匀系数对动态应力强度因子的影响。结果表明:材料的剪切模量在厚度上的变化和材料的不均匀系数对动应力强度因子具有较大的影响。The dual integral equation of antiplane Yoffe problem with restricted boundary in infinite length strip made of orthotropic anisotropy FGM through Fourier transformation with the help of the exponent model of the shear modulus and density is obtained. The displacement is expanded into series form using Jacobi Polynomial by Schmidt method, then the semi-analytic and numerical solutions of dynamic stress intensity factor are attained. The result indicates that shear modulus variables in depth and nonhomogeneous coefficient of material have great effects on dynamic stress intensity factor.

关 键 词：运动裂纹 功能梯度材料 对偶积分方程 Schmidt方法 动态应力强度因子 

分 类 号：O346.1[理学—固体力学]