Zhang Ru-qing, Gao Hang-shan. The Random Variational Principle and Finite Element Method[J]. Applied Mathematics and Mechanics, 1992, 13(5): 383-388.
Citation: Zhang Ru-qing, Gao Hang-shan. The Random Variational Principle and Finite Element Method[J]. Applied Mathematics and Mechanics, 1992, 13(5): 383-388.

The Random Variational Principle and Finite Element Method

  • Received Date: 1990-07-08
  • Publish Date: 1992-05-15
  • In this paper, we introduced the random materials, geometrical shapes, force and displacement boundary condition directly into the functional variational formulations and developed a unified random variational principle and finite element method with the small parameter perturbation method.Numerical examples showed that the methods have the advantages of the simple and convenient program implementation, and are effective for the random mechanics problems.
  • loading
  • [1]
    中桐滋、久田俊明.《确率有限要素法入门》,培风馆(1985).
    [2]
    钱伟长,《广义变分原理》,知识出版社(1985).
    [3]
    Vanmarcke E.,et al.,Random fields and stochastic finite elements,Structural Safety,3(1986) 143-166.
    [4]
    Liu W.K.,T.Belytschko,and A.Mani,Random field finite elements,Int.J.Numer.Methods Engrg.,23,10 (1985).
    [5]
    Contreras H.,The stochastic finite element method,Comput.Struct.,12,(1980),341-384.
    [6]
    Lawrence,M.A.,Basis random variables in finite element anylysis,Int.J.Numer.Methods Engrg.,24,(1987),1849-1863.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2039) PDF downloads(739) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return