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扩展有限元法及其在裂纹模拟中的应用

Extended Finite Element Method and the Application in Simulation the Extension of Crack

中文摘要英文摘要

本文详细阐述了扩展有限元法的基本原理,提出一类附加位移形函数-指数型间断函数来描述由裂纹所导致的位移不连续规律。编制了平面四结点扩展等参有限元程序,且利用ANSYS这一有限元商业软件进行前后处理,对洞室在均布内压荷载作用下的裂纹扩展进行追踪模拟。算例结果表明,利用该法模拟裂纹扩展分析时无需重新划分网格就能顺利进行。

he basic theory of extended finite element method are expounded particularly, and given a class of enrichment displacement functions---the exponent discontinuous function which is presented to simulate the discontinuous character resulted from discontinuity such as crack.By relying to ANSYS,a 2D program is used to simulate the crack\'s extension of tunnels.The analysis shows that XFEM deals with the crack sussessfully without remeshing.

刘宽、夏晓舟、杨静

工程基础科学

扩展有限元法指数间断函数裂纹

XFEMthe exponent discontinuous functioncrack

刘宽,夏晓舟,杨静.扩展有限元法及其在裂纹模拟中的应用[EB/OL].(2010-05-20)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201005-484.点此复制

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