Parallel point interpolation method for three-dimensional metal forming simulations

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 f...

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Bibliographic Details
Published in:Engineering analysis with boundary elements 2007-04, Vol.31 (4), p.326-342
Main Authors: Hu, Wang, Guang Yao, Li, Zhi Hua, Zhong
Format: Article
Language:English
Subjects:
Applied sciences
Computer simulation
Exact sciences and technology
Finite element method
Forming
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Mathematical analysis
Meshless
Meshless methods
Metal forming
Metals. Metallurgy
OpenMP
Parallel
Physics
Point interpolation method (PIM)
Powder injection molding
Production techniques
Shape functions
Solid mechanics
Speedup
Structural and continuum mechanics
Three dimensional
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Summary: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.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2006.09.012