含有楔型弹性夹杂材料的奇异性分析

The Analysis of Singular Stress Field near the Corner of Wedged Dissimilar Materials

基于位移函数φ＝ ｒ２－ δｆ（θ） ，研究了平面应变情况下两种不可压缩材料界面处的奇异性问题．通过研究发现，奇异性指数δ不仅与材料性质有关，而且与其几何参数有关．应用此位移函数，我们还可求得该问题的位移场和应力本征场．最后本文用所得结果与已有文献结果作比较，从而验证本方性的正确性．本方法公式推导简单，是这类问题分析的新方性．

Based on the displacement function φ=r 2-δ f(θ),the stress singularities of interface corners of wedged dissimilar materials are considered.It is found that the singular exponent δ depends not only on the characteristics of the materials ,but also on the geometric parameters.The displacement field and the strain field can be derived.Comparing the results of the paper to those of the reference articles,the rationality of the paper can be proved.The derivation process of the formulae is very simple,and the technique used can be considered to be a new method for the solution of the problem studied.