岩土力学Issue(5)：1482-1488,1505,8.
岩土参数随机场离散的三角形单元局部平均法
Local average method of triangular elements for discretization of random field of geotechnical parameters
摘要
Abstract
By modeling the uncertain geotechnical parameters as spatially random fields instead of traditional random variables, a local average method of two-dimensional triangular elements is proposed based on the local average theory of random field. The analytical calculation and numerical calculation for the covariance matrix of triangular elements of the local average random field is provided by the transformation of area coordinates and the Gauss numerical integration. An illustrative example is presented to demonstrate the analysis process and the validity of the proposed method;and the advantage of the proposed method is proven by comparing these results with the results derived when the random fields of geotechnical parameters are divided based on arbitrary quadrilateral elements method. The results show that the local average method of triangular elements can perfectly combine with the finite element method of triangular elements; and the corresponding relation is clearer; and the program is simpler. For the mean of the random field mesh, the calculation results are the same based on the proposed method and the arbitrary quadrilateral elements method. For the variance of the random field mesh, the calculation results are smaller based on arbitrary quadrilateral elements method. Therefore, the local average method of triangular elements is more scientific and reasonable.关键词
岩土参数/随机场/离散/随机有限元/局部平均法/三角形单元Key words
geotechnical parameters/random field/discretization/stochastic finite elements/local average method/triangular elements分类
建筑与水利引用本文复制引用
王涛,周国庆,阴琪翔,夏利江..岩土参数随机场离散的三角形单元局部平均法[J].岩土力学,2014,(5):1482-1488,1505,8.基金项目
国家重点基础研究发展计划(973计划)（No.2012CB026103）；国家高技术研究发展计划(863计划)（No.2012AA06A401）；江苏省普通高校研究生科研创新计划项目（No. CXLX13_942）。 （973计划）
