基于新型的岩土工程数值分析方法——无网格Galerkin法,利用移动最小二乘法所具备的局部化技术,引入不同材料介质之间材料不连续问题的无网格求解方法,对横向荷载作用下桩-土相互作用特性进行了无单元数值模拟分析,并采用MATLAB语言编制出相应的计算程序,由此对不同荷载作用大小、桩周土性质及桩-土刚度比等因素对桩身受力变形特性的影响进行了对比分析,获得了一些定性的结论。工程实例应用结果表明,这一方法在精度和后处理方面比传统的有限元等数值方法更具优势,且计算结果与通用有限元软件ANSYS计算结果吻合良好。
A newly developed numerical method in geotechnical engineering, i.e. element-free Galerkin method (EFGM) or meshless method, as well as the moving least square method characterized by the local technique, is used to simulate the pile-soil interaction under horizontal load. In the present method, the discontinuous problem of material between pile shaft and surrounding soil is considered and resolved; and an EFGM calculation program is also developed by MATLAB. Based on the program, the deformation behavior of pile shaft under various magnitude of horizontal loads, types of surrounding soil and stiffness rations of pile shaft to surrounding soil is discussed in detail; and some qualitative conclusions are drawn. Through the application of the present method to an engineering example, the good agreement between the results by the program and that by the common FEM software (i.e. ANSYS) indicates that the present method has more advantages in such respects as accuracy and post-process convenience compared with those traditional numerical methods such as the finite element method.