辽宁工程技术大学学报（自然科学版）2011，Vol.30Issue(4)：522-525,4.DOI:21-1379/N.20110819.0023.001
FGM受冲击载荷作用下裂纹尖端应力的数值分析
Numerical analysis of crack-tip stress fields in FGMs under impact loading
摘要
Abstract
In order to investigate the influence of the grade parameters and the characteristic dimension on the crack-tip stress fields in Functionally Graded Materials (FGMs), a crack in an infinite plate of FGMs subject to anti-plane shear impact loading is analyzed using non-local theory. The shear modulus and mass density of FGMs are assumed to be of exponential form and the Poisson's ratio is assumed to be constant. The mixed boundary value problem is reduced to dual integral equation through the use of Laplace and Fourier integral transform method. The crack-tip stress fields in FGMs are obtained by solving the dual integral equations using Jacobi's polynomials and Schmidt's method. The numerical results show that no stress singularity is presented at the crack-tip and the stress near the crack tip tends to increase with time at early stage and then decrease in amplitude. At the same time, the stress at crack tip decreases with the increase of the grade parameters and the characteristic dimension.关键词
功能梯度材料/裂纹/应力场/积分变换/非局部理论/对偶积分方程/裂纹尖端应力场/混合边界值问题Key words
functionally graded materials/ crack/ stress field/ integral transforms/ non-local theory/ dual integral equation/ crack-tip stress fields/ mixed boundary value problem分类
数理科学引用本文复制引用
毕贤顺,陈华艳..FGM受冲击载荷作用下裂纹尖端应力的数值分析[J].辽宁工程技术大学学报（自然科学版）,2011,30(4):522-525,4.基金项目
福建省科技厅资助省属高校基金资助项目(2008F5005) （2008F5005）
