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基于位移插值的Voronoi单元有限元方法 被引量：7

Voronoi Cell Finite Element Method Based on Displacement Interpolation
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摘要 Voronoi单元有限元法是模拟颗粒增强复合材料非常先进有效的数值方法之一。为了克服它在构造插值函数时的困难,本文通过有限覆盖技术,对Voronoi单元进行了改进,提出了基于位移插值的Voronoi单元有限元方法,该方法的优点是只要知道夹杂中心点位置和Voronoi单元节点坐标,经过三次数学覆盖,即可形成Voronoi单元的位移插值函数。该方法形函数构造简单,容易实施。最后给出了数值模拟算例,并与现有的方法进行了比较。 Voronoi cell finite element method (VCFEM) is one of the most efficient methods for simulating particle-reinforced composites. To solve the difficulty in constructing interpolation functions, VCFEM is improved by finite cover technique, and a Voronoi cell finite element method based on displacement interpolation is proposed. Giving nodal coordinates of Voronoi cell and central coordinates of particles, the displacement interpolation functions can be formulated by three mathematical covers, where the shape functions get simple and easy to construct.
作者 魏高峰 冯伟 高洪芬
机构地区 西安交通大学 上海大学
出处 《应用力学学报》 CAS CSCD 北大核心 2008年第2期342-346,共5页 Chinese Journal of Applied Mechanics
基金 山东省优秀中青年科学家奖励基金(2007BS04045)
关键词 颗粒增强 复合材料 有限覆盖技术 Voronoi单元 数值模拟 particle-reinforced, composites, finite cover technique, voronoi cell, numerical simulation
分类号 O343.2 [理学—固体力学]
  • 相关文献

参考文献8

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二级参考文献124

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共引文献151

同被引文献48

  • 1姜芳,宁建国.有界面脱粘时颗粒增强金属基复合材料的弹塑性性能分析[J].材料工程,2006,34(z1):366-369. 被引量：5
  • 2聂国隽,仲政.用微分求积法求解梁的弹塑性问题[J].工程力学,2005,22(1):59-62. 被引量：26
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  • 4杨杰,彭建设.摄动DQ法分析板的大挠度热弯曲[J].工程力学,1996,13(3):86-92. 被引量：7
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  • 6Cortinez V H. DQM for Vibration Analysis of Composite Thin-walled Curved Beams[J ]. Journal of Sound and Vibration, 2001, 246(3) :551-555.
  • 7Ming-hung Hsu. Vibration Analysis of Edge-cracked Beam on Elastic Foundation with Axial Loading Using the Differential Quadrature Metbod[J ]. Comput Methods Appl Mech Engrg, 2005,194(1) : 1-17.
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  • 9Claudio Franciosi, Stefania Tomasiello. Static Analysis of a Bickford Beam by Means of the DQEMIJ ]. International Journal of Mechanical Sciences, 2007,49( 1 ) : 122-128.
  • 10Shu C, Wu W X, Ding H, et al. Free Vibration Analysis of Plates Using Least-square-based Finite Difference Method[J ]. Computer Methods in Applied Mechanics & Engineering, 2007,10( 1 ) : 128-137.

引证文献7

二级引证文献6

应用力学学报
2008年 第2期

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