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工程力学  2012 

各向异性复合材料尖劈的应力奇异性次数研究

DOI: 10.6052/j.issn.1000-4750.2011.03.0132

Keywords: 应力奇异性,特殊有限元,广义平面应变,各向异性材料,特征值法

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Abstract:

为了确定各向异性复合材料尖劈的应力奇异性次数,提出了一种确定广义平面应变情况下各向异性弹性接合材料界面端应力奇异性次数的一维特殊有限元法。该方法基于最小势能原理,通过坐标变换和变量分离消除径向坐标,把应力奇异性次数的求解降阶为仅与环向坐标相关的一维问题。采用三节点一维等参数二次单元,对该一维线性领域做网格划分。数值计算结果与理论解比较,表明该方法具有很高的精度和效率。

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