摘要
作出了周期裂纹削弱的无限长板条的应力分析· 假设这些裂纹均在水平位置,又板条承受y方向的拉伸力p· 此时边值问题归结为一个复杂混合边值问题· 发现,对此问题言,特征展开变分原理方法(eigenfunctionexpansionvariationalmethod,简称为EEVM)是非常有效的· 研究了裂纹端的应力强度因子和T＿应力· 从拉伸力作用下的弹性变形考虑。
Stress analysis for an infinite strip weakened by periodic cracks is studied. The cracks were assumed in a horizontal position, and the strip is applied by tension 'p' in y-direction. The boundary value problem can be reduced into a complex mixed one. It is found that the EEVM ( eigenfunction expansion variational method) is efficient to solve the problem. The stress intensity factor at the crack tip and the T-stress were evaluated. From the deformation response under tension the cracked strip can be equivalent to an orthotropic strip without cracks. The elastic properties in the equivalent orthotropic strip were also investigated. Finally, numerical examples and results were given.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第11期1189-1194,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10272053)
关键词
特征展开变分原理方法
周期裂纹
应力强度因子
T-应力
eigenfunction expansion variational method
periodic crack
stress intensity factor
T-stress
