摘要
The stochastic finite element equations for random temperature are obtained using the first-order per-turbation technique taking into account the random thermal properties and boundary condition, based on heat transfer variational principle. The local average method for 2-D is used to discretize random fields. Then, the random temperature fields of embankment in cold regions are investigated on condi-tion that the thermal properties and boundary condition are taken as random fields, respectively, by using the program, which is written by the methods. The expected value of temperature field and the standard deviation of the temperature field of embankment in cold regions are obtained and analyzed.
The stochastic finite element equations for random temperature are obtained using the first-order perturbation technique taking into account the random thermal properties and boundary condition, based on heat transfer variational principle. The local average method for 2-D is used to discretize random fields. Then, the random temperature fields of embankment in cold regions are investigated on condition that the thermal properties and boundary condition are taken as random fields, respectively, by using the program, which is written by the methods. The expected value of temperature field and the standard deviation of the temperature field of embankment in cold regions are obtained and analyzed.
基金
the "National Science Fund of Distinguished Young Scholars of China" (Grant No. 40225001)
the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KZCX3-SW-351)
the CAS Special Fund for the National Excellent PhD Dissertation Author (to Dr. Lai, Y.M.)
the Foundation of "Hundred People Plan" of Chinese Academy of Sciences (to Dr. Lai Y M)
the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KZCX1-SW-04)
the National Natural Science Foundation of China (Grant No. 40640420072)
