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组合杂交元CHH(0-1)的改进

THE IMPROVEMENT OF COMBINED HYBRID ELEMENT CHH(0-1)
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摘要 通过用能量协调条件限制应力空间构造六面体杂交元CHH(0-1)时,需要求解消耗大量机时的广义逆矩阵.本文给出了能量协调条件下应力的显式格式,避免了求解广义逆,这种新的方法在保留CHH(0-1)的高性能同时,大大提高了计算效率并更加容易编程实现. The new approach was proposed in this paper to avoid solving generalized inverse matrix by contrast with CHH(0-1) in paper [1]. Because it was time consuming to constraint stress space with the energy compatibility condition by means of solving generalized inverse matrix. In this paper, explicit formulation of energy compatibility condition was obtained. The new method improves computational efficiency and is easier to program while keeping all high performance of CHH(0-1).
出处 《数值计算与计算机应用》 CSCD 2006年第2期145-153,共9页 Journal on Numerical Methods and Computer Applications
关键词 组合杂交元 能量协调条件 广义逆 计算数学 Combined hybrid element, energy compatibility condition, generalized inverse
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  • 1聂玉峰,周天孝.高性能八节点六面体组合杂交元[J].数值计算与计算机应用,2003,24(3):231-240. 被引量:10
  • 2Pian T H H, Derivation of element stiffness matrices by assumed stress distributions. AIAA J,2(1964) 1333-1336.
  • 3Zhou T- X, Stabilized Hybrid Finite Element Methods Based on Combination of Saddle Point Principles of Elasticity Problem, Math. Comput, 72(2003) 1655-1673.
  • 4Brezzi F.,Fortin M., Mixed and Hybrid Finite Element Method, Spinger-Verlag, 1991.

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