三维无单元伽辽金法及其在拱坝分析中的应用

本文介绍了三维无单元伽辽金法的基本理论，并将其应用于拱坝结构分析中，基于变分原理推导出三维线弹性无单元伽辽金法的整体平衡方程。为了处理实际水利工程中断层、宏观裂纹等不连续情况，采用可视准则处理不连续面对积分点影响域的影响，同时考虑不连续面两表面相互作用对整体平衡方程的贡献。编制了三维无单元法计算程序并用以分析拉西瓦水电工程拱坝一地基系统模型，结果表明，其反映了拱坝在水荷载作用下的位移分布规律。

Three-dimensional element-free Galerkin method and its application in analysis of arch dams

The basic theory of 3-D element-free Galerkin method (EFGM) and its application to analysis of arch dam are presented. Based on the calculus of variation principle the discrete equilibrium equation for 3-D linear elastic element-free Galerkin method is deduced. The visibility criterion is adopted to deal with the effect of discontinuities on the domain influenced by a Gauss point. Physically these discontinuities represent the faults or cracks in hydraulic engineering. The contribution of interaction between two surfaces of discontinuity to system equilibrium equation is considered. The computational program is developed and applied to analyze the arch dam-foundation system in Laxiwa Project located in the upper reaches of Yellow River. The result indicates that the proposed 3-D EFGM is effective and possesses enough accuracy.