一种高精度的裂纹奇异单元
A Precise Singular Finite Element for Crack Analysis
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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.Abstract: The multi-variable finite element algorithm based on the generalized Gulerkin'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-variable singular finite element are also discussed in this paper.
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Key words:
- multi-variable finite element model /
- singular Unite element /
- J-integral
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[1] 卞学横,裂纹单元,《有限元法论文选》,国防工业出版社(1980). [2] 卞学镜,K,Moriya,用假定应力杂交法进行三维断裂分析,《有限元法论文选》,国防工业出版社(1980). [3] Chen,W,H,and C,W.Wu,On elastodynamic fracture mechanics analysis of bi-material structures using finite element method,Engineering Fracture Mechanics,15,1-2(1981),155-188. [4] Nishioka,T,and S,N,Atluri,Numerical modeling of dynamic crack propngation in finite bodies by moving singular elements,J,of Applied Mechanics,41(1980),570-578. [5] 张敬宇、杨海元,建立杂交有限元模型的一种简明格式,天津大学学报,增2(1984),1-8. -
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