Stress Analysis for an Infinite Strip Weakned by Periodic Cracks
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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 ( eigenfunction expansion variational method,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,开裂板条可等价于一不开裂的正交异性板条.还分析了等价正交异性板条的弹性性质.最后给出了算例和数值结果.
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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
Abstract: 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 (eigen-function 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. -
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