改进的无网格法及其在冻土区桩基温度场中的应用

采用带权正交基函数对传统的无网格法中的基函数进行了改进，避免了计算过程中可能出现的矩阵不可逆情况，而且编程容易实现且计算效率高。并将其应用到冻土区桩基包括了热传导和相变潜热的温度场中，同时考虑了混凝土水化热释放对桩周冻土的影响，将计算结果和有限元计算结果及现场实测数据进行了比较分析，从趋势和最大数值看都反映了实测曲线的趋势，又把不同深度处桩侧和不同桩径处温度随时间的变化规律计算结果和有限元计算结果做了对比，都验证了该方法的可行性和优越性。

Analysis of temperature distribution along piles in permafrost regions by the improved element-free Galerkin method

The element-free Galerkin method (EFG) has been improved by using the orthonormal basis functions to obtain a shape function. So, the improved element-free Galerkin method (IEFG) can obtain the solution of undetermined coefficients directly without the inverse matrices. An ill-conditional or singular matrices can be avoided by the method. Because of the advantages of the IEFG, it has greater computational efficiency and can obtain the solution for arbitrary node distribution. In this paper, the method was introduced to analyze the temperature distribution along piles in permafrost. The control equations of temperature field in permafrost regions were established. The effects of heat conduction and latent heat on the temperature distribution were considered and the release of concrete hydration heat was studied by control equation. It is concluded that the calculated results are in good agreement with the monitoring data and the results by the finite element method.