The complex variable reproducing kernel particle method for two-dimensional elastodynamics     

陈丽  程玉民 《海洋学报(英文版)》2010,29(9)

On the basis of the reproducing kernel particle method (RKPM), a new meshless method, which is called the complex variable reproducing kernel particle method (CVRKPM), for two-dimensional elastodynamics is presented in this paper. The advantages of the CVRKPM are that the correction function of a two-dimensional problem is formed with one-dimensional basis function when the shape function is obtained. The Galerkin weak form is employed to obtain the discretised system equations, and implicit time integration method, which is the Newmark method, is used for time history analysis. And the penalty method is employed to apply the essential boundary conditions. Then the corresponding formulae of the CVRKPM for two-dimensional elastodynamics are obtained. Three numerical examples of two-dimensional elastodynamics are presented, and the CVRKPM results are compared with the ones of the RKPM and analytical solutions. It is evident that the numerical results of the CVRKPM are in excellent agreement with the analytical solution, and that the CVRKPM has greater precision than the RKPM.  相似文献   

有限元法中总刚动态存取及其应用     

李树忱  程玉民  李术才 《岩土力学》2004,25(4):646-650

讨论了如何利用FORTRAN 90中指针和派生类型相结合构成的链表结构的方法对总刚实现动态存取、增强总刚的灵活性,从而克服了以往总刚形成和存储的一些缺点。方法不仅能方便地实现总刚矩阵内任意位置上数据的插入和删除而不影响其它数组结构的变化,而且比一般半带宽存储节约更多内存。方法特别适合岩土工程开挖与支护等大型结构的三维有限元分析,能大大提高求解效率。  相似文献