Research on rigid/visco-plastic element-free Galerkin method and key simulation techniques for three-dimensional bulk metal forming processes

2010 ◽  
Vol 53 (5-8) ◽  
pp. 485-503 ◽  
Author(s):  
Ping Lu ◽  
Guoqun Zhao ◽  
Yanjin Guan ◽  
Xin Wu
Keyword(s):  
Galerkin Method ◽  
Metal Forming ◽  
Three Dimensional ◽  
Element Free Galerkin Method ◽  
Bulk Metal ◽  
Bulk Metal Forming ◽  
Simulation Techniques ◽  
Element Free Galerkin ◽  
Plastic Element ◽  
Element Free

Application of Rigid/Visco-Plastic Element Free Galerkin Method in Three-Dimensional Bulk Metal Forming Processes

2009 ◽  
Vol 419-420 ◽  
pp. 457-460
Author(s):  
Ping Lu ◽  
Xin Wu ◽  
Guo Qun Zhao ◽  
Kai Yong Jiang ◽  
Yan Jin Guan
Keyword(s):  
Galerkin Method ◽  
Metal Forming ◽  
Three Dimensional ◽  
Element Free Galerkin Method ◽  
Bulk Metal ◽  
Bulk Metal Forming ◽  
Finite Element Software ◽  
Element Free Galerkin ◽  
Plastic Element ◽  
Element Free

Combining element free Galerkin method with rigid/visco-plastic flow theory, the paper establishes the three-dimensional rigid/visco-plastic element free Galerkin method, and introduces it to analyze three-dimensional bulk metal forming processes. The velocity field is approximated by MLS method. Employing the incomplete generalized variation principle, stiffness matrix equation and solution formulas are derived. And STL format discrete triangular patches are used to describe the mould cavity. An analysis program for simulating three-dimensional bulk metal forming processes is developed. The program is capable of simulating three-dimensional unsteady bulk metal forming processes with severe deformation and arbitrarily shaped dies. A numerical example is analyzed. Numerical results such as material flow patterns and distributions of the effective stress are obtained. The effectiveness and validity of the proposed method and techniques are demonstrated by comparing with results obtained by using commercial finite element software.

Releasing Algorithm for Volumetric Locking in Metal Forming Process Simulation Based on Element-Free Galerkin Method

2008 ◽  
Vol 575-578 ◽  
pp. 356-366
Author(s):  
Yan Jin Guan ◽  
Xin Wu ◽  
Guo Qun Zhao ◽  
Ping Lu
Keyword(s):  
Strain Rate ◽  
Galerkin Method ◽  
Metal Forming ◽  
Volumetric Strain ◽  
Pressure Oscillation ◽  
Element Free Galerkin Method ◽  
Volumetric Locking ◽  
Element Free Galerkin ◽  
Simulation Based ◽  
Element Free

The meshless methods effectively deal with large material distortion simulation. Based on the rigid (visco)plastic material model, the element-free Galerkin method (EFGM) is introduced to simulate the metal forming processes. Aiming at the volume locking and pressure oscillation during EFGM analysis, a volumetric strain rate mapping method is proposed based on pressure projection method. The releasing algorithm is established by modifying the volumetric strain rate in the functional equation. The volumetric strain rate calculated according to velocity field is mapped onto a lower-order space to reduce the number of independent discrete constrain equations. The numerical example shows that the releasing algorithm can effectively eliminate the volumetric locking and pressure oscillation without the expense of employing large support size in the rigid-plastic meshless method.

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