功能梯度材料瞬态热传导问题的MLPG方法

A MLPG method of transient heat transference in FGMs

将无网格局部彼得罗夫-伽辽金(MLPG)方法应用于功能梯度材料(FGMs)的三维瞬态热传导问题.推导了三维瞬态热传导问题的基本方程,在此基础上用Matlab编制了相应的计算程序,对分析计算结果进行了讨论.结果表明,考虑变物性(与温度相关的材料属性)对稳态时的温度分布有很大影响,且组分材料不同的空间分布形状对结果也有很显著的影响.

The meshless local Petrov-Galerkin（MLPG） method was utilized to establish a model to analyze the transient heat transference problem in FGMs. In formulating the problem, the temperaturedependent material properties are incorporated. Numerical examples are worked out to show the effectiveness and the efficiency of the method proposed. It shows that considering the temperature-dependent material properties can greatly change the final temperature distributions. Influences of the constituents＇ volume fraction and distribution on the transient temperature are also discussed.