推导了平面4节点拉氏无限元(4+2)匹配型式的无限元函数,采用有限元一无限元耦合方法(FEM-IEM)求解了分别遭受轴力、剪力、弯矩等荷载作用形式的单桩.土静力反应计算问题,实现了对无限体的不遗漏计算.对比结果表明:无限元能实现无穷远处位移为0的边界条件,能应用于大范围内的有限域计算,程序实施上较简便;而采用FEM-IEM耦合法免去了边界设置的繁琐,精度也能满足计算要求,计算效率也较高,因而该方法是有效可靠的,能广泛应用于岩土工程领域的数值分析工作中.
The matched mapping function of the Lagrange infinite element with 4 node (corresponding 4+2) is educed. By using the finite and infinite coupling elements method(FEM-IEM), the static response of single pile-soil system which is sufferring the action of axial force, shear force and bending moment separately is analysed. The whole caculation of the infinite body is bring into effect and the comparison result indicates that infinite element method can reach the infinite boundary condition of zero displacement ,also it can be applied to finite field in the large-scale area. In addtition, the FEM-IEM coupling method advoids the trouble of boundary set when its precision is well satisfied. Therefore, this method is effective and reliable, and it can be extensively used in the field of numerical analysis in geotechnical engineering