TY - JOUR
TI - A local average method for stochastic thermal analysis under heat conduction conditions
AU - Wang Tao
AU - Zhou Guoqing
AU - Wang Jianzhou
AU - Yin Leijian
JN - Thermal Science
PY - 2019
VL - 23
IS - 2
SP - 899
EP - 911
PT - Article
AB - In this paper, a new triangular discretization method for two-dimensional  random field is proposed, and thecomputational formula of the covariance for  any two triangular random field elements is developed. Its main advantage,  compared to thequadrilateral discretization method, is that triangular local  average method can perfectly combine with thetriangular finite element  method. Also, the corresponding relation is clearer and the computer codes  are simpler. Based on the new local average method, a numerical analysis for  random temperature field of geotechnical structures under heat conduction  conditions is presented by the Monte-Carlo method, and the computational  formulas of mathematical expectation matrix and standard deviation matrix  are provided. A series of computer codes have beencompiled by Matrix  Laboratory (MATLAB) software. A numerical example is presented to  demonstrate the random effects of uncertain parameters, and the accurateness  of the proposed approach is proven by comparing these results with the  results derived from quadrilateral local average method.