【摘要】 将无网格法应用于地震液化过程中的桩-土相互作用分析.以Biot固结理论的u-p列式作为饱和砂土的控制方程,土的本构关系采用能够描述饱和土体振动液化特征的有效循环弹塑性模型.利用移动最小二乘近似推求形函数,再采用伽辽金法对控制方程离散,获得无网格伽辽金法的基本计算方程.最后,通过优势验证,说明了该方法能有效地避免液化有限元分析时由于大变形所引起的体积自锁而使计算中断等问题.更多还原

【Abstract】 The meshless method is applied to seismic analysis of soil-pile interaction in liquefiable site. The governing equations are established by u-p formulation of Biot’s two-phase mixture theory,and a cyclic elasto-plastic model describing the vibrating liquefaction characteristics of saturated soil is adopted to deal with the constitutive relation of the soil. The shape function is deduced by the moving least square method,then the Galerkin method is used to discretize the governing equations,and the basis function equations of the element-free Galerkin method are built. Finally,the effectiveness of the method is demonstrated by comparing the results with those of finite element method. The meshless method can effectively avoid the volumetric locking due to large deformation which usually occurs in the numerical computations using finite element method.更多还原