正交异性双材料反平面界面端应力场分析

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基金项目: 山西省自然科学基金资助项目(2007011008)

Stress Field Analysis on Anti-Plane Orthotropic Bi-Materials of Interface End

School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P. R. China

摘要: 研究了正交异性双材料反平面平板搭接界面端问题．采用复合材料断裂复变方法,构造了特殊应力函数,通过求解一类广义重调和方程组的边值问题,推导出平板搭接界面端的应力场、位移场及应力强度因子的表达式.结果显示:反平面搭接界面端只有一个奇异性,上下材料常数比Γ＞0时,应力场具有幂次奇异性,且随着Γ增长,奇异指数趋于-1/2,并利用有限元算例分析验证了理论结果的正确性．
- 正交异性 /
- 反平面 /
- 平板搭接 /
- 界面端 /
- 应力场 /
- 有限元
Abstract: Orthotropic bi-materials anti-plane interface end of flat lap was studied by constructing new stress function and using composite complex function method of material fr acture.The expression of stress fields,displacements fields and stress intensity factor around flat lap interface end,are derived by solving a class of generalize d bi-harmonic equations.The result shows:this type of problems has one singularity,the stress fields has no singularity when two materials constant ratio #>0,the stress field has power singularity,and singularity index trends to -1/2 as # increases.FEM analysis was done to verify correction of the derived equation.
- orthotropic /
- anti-plane /
- flatlap /
- interface end /
- stress fields /
- FEM

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