کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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513522 | 866487 | 2007 | 17 صفحه PDF | دانلود رایگان |
Parallel point interpolation method (PIM) is developed for metal forming with large deformation analysis of three-dimensional (3-D) solids, based on the Galerkin weak form formulation using 3-D meshless shape functions constructed using radial basis functions (RBFs). As the radial PIM (RPIM) shape functions have the Kronecker delta functions property, essential boundary conditions can be enforced as easily as in the finite element method (FEM). The kinematics and the explicit integration scheme for PIM meshless method are given. The OpenMP parallelization toolkit is used to parallelize our meshless code, and the parallelization of the PIM meshless code has been conducted for a shared memory system using OpenMP. Some examples are then presented to demonstrate the efficiency and accuracy of the proposed implementations concerning the accuracy and efficiency of the code. It is demonstrated that the present parallel 3-D PIM meshless program is robust, stable, reliable and efficiency for metal forming analysis of 3-D problems.
Journal: Engineering Analysis with Boundary Elements - Volume 31, Issue 4, April 2007, Pages 326–342