中文摘要：

基于紧支试函数加权残量法介绍了局部彼得罗夫-伽辽金法（MLPG）试探函数和检验函数的构造和选取.然后深入探讨其位移边界条件的处理方法、桩土材料弹塑性性质模拟方法、不连续面处理方案等及程序实现过程,并编制了相应的计算程序.结合力学经典算例验证无网格局部彼得洛夫-迦辽金法的计算精度,最后对超长桩进行了因素分析,由分析得到了基桩桩顶沉降、荷载-沉降曲线非线性性质与基桩长径比间的关系,且结果表明,存在一个有效桩长,当基桩长度大于该值时,无法以增加桩长的方式获取更高的承载力,其值与地基土性质有关.

英文摘要：

Based on weighted residual method, the construction or selection of test function and weight function of Meshfree Local Petrov - Galerkin （MLPG） were introduced. Then, the dealing method of displacement boundary conditions, simulation method of elastic - plastic behavior of reinforcement and surrounding soil, dealing method of non - continuous on the interface and how the relevant program process brough about were deeply discussed, and the codes were also programed. The accracy of the local Petrove - Galerkin method was verified by comparing the calculating result to the classical solution in mechanics. Lastly, the bearing behavior of super - long pile was analyzed by the codes, and the relationship between pile length -diameter ratio and pile top settlement, nonlinear behavior of load - settlment curve was got. And the results also showed that, there is a effective pile length, which is related to the soil stiffness, when a pile longer than it, the bearing capacity of pile can not be enhanced by enlarging the pile length.