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一种高精度的裂纹奇异单元
引用本文:王燕群,张敬宇.一种高精度的裂纹奇异单元[J].应用数学和力学,1990,11(10):931-936.
作者姓名:王燕群  张敬宇
作者单位:天津大学 (王燕群),天津大学(张敬宇)
摘    要:基于广义伽辽金法的多变量有限元算法,增加了连续体力学有限元模型建立的灵活性.本文利用它,通过数值试验的对比建立了一种高精度的含奇异性的裂纹单元,并对多变量奇异元的构成进行了探讨.

关 键 词:多变量有限元模型  奇异单元  J积分

A Precise Singular Finite Element for Crack Analysis
Wang Yan-qun Zhang Jing-yu.A Precise Singular Finite Element for Crack Analysis[J].Applied Mathematics and Mechanics,1990,11(10):931-936.
Authors:Wang Yan-qun Zhang Jing-yu
Abstract:The multi-variable finite element algorithm based on the generalized Galerkin's method is more flexible to establish a finite element model in the continuum mechanics. By using this algorithm and numerical tests a new singular finite element for elasto-plastic fracture analysis has been formulated. The results of numerical tests show that the new element possesses high accuracy and good performance. Some rules for formulating a multi-Tariable singular finite element are also discussed in this paper.
Keywords:multi-variable finite element model  singular finite element  J-integral
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