各向异性复合材料尖劈的应力奇异性次数研究  

STRESS SINGULARITIES IN TIPS OF THREE-DIMENSIONAL ANISOTROPIC MULTI-MATERIAL WEDGES

作　　者：王效贵[1] 胡涛[1] 徐峰[1] 

机构地区：[1]浙江工业大学机械工程学院,浙江杭州310014

出　　处：《工程力学》2012年第11期21-25,32,共6页Engineering Mechanics

基　　金：浙江省自然科学基金项目(Y6090081)

摘　　要：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。In order to determine the stress singularity in tips of three-dimensional anisotropic multi-material wedges, a special one-dimensional finite element approach was proposed to determine the stress singularity at the interface wedge of the bonded dissimilar anisotropic materials in a generalized plane strain state. Based on the principle of minimum total potential energy, the problem of determinating the stress singularity is changed to a problem in a circumferential coordinate system through the coordinate transformation and variable separation technology. A three-node one-dimensional isoparametric quadrilateral element was used to mesh the degenerated linear region. The numerical results agree with the analytical solutions very well, which indicates that the proposed approach has high efficiency and accuracy.

关 键 词：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 

分 类 号：O341[理学—固体力学] O343.4[理学—力学]