Nonlinear Analysis of Piercing Rolling Process by Element-Free Galerkin Method

Abstract:

During piercing rolling simulation, extreme mesh deformation cannot be solved by the finite element method (FEM). Re-meshing is necessary to prevent the effect of severe mesh distortion. However, the element-free method can solve this problem because the continuous body is discretized with a set of nodes, not meshes. In this paper, three-dimension rigid-plastic element-free Galerkin Method (EFG) is introduced to analyze the piercing rolling process. The approximation functions are calculated considering a moving least squares (MLS) approach. The Newton-Raphson method is used for the solution of the nonlinear system of equations. The equivalent stress, the equivalent plastic strain and the equivalent plastic strain rate obtained by EFG and rigid-plastic FEM are analyzed and compared. The simulation results of the EFG method are in agreement with those obtained by using the rigid-plastic FEM and the effectiveness of the model is verified.

• Periodical: Applied Mechanics and Materials (Volumes 26-28)
• Pages: 285-288
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.26-28.285
• Online since: June 2010
• Authors: Jian Hua Hu, Yuan Hua Shuang
• Keywords: EFG, Finite Element Model (FEM), MLS, Piercing Rolling

References

[1] K. Komori, Simulation of deformation and temperature in press roll piercing, J. Mater. Process. Technol. 169 (2005) 249-257.

[2] Cui Qing-ling, Splitting Rolling Simulated by Reproducing Kernel Particle Method, Journal of iron and steel research, 2007, 14(3): 42-46.

DOI: 10.1016/s1006-706x(07)60041-7

[3] Chen J. S, Pan C, Wu CT, Rogue C, A Lagrange reproducing kernel particle method for metal forming analysis, Computer Mech. 1998; 22: 289-307.

[4] Yoon SP, Wu CT, Wang HP, Chen JS. Efficient mesh free formulation for metal forming simulations. J Eng. Mater-T ASME 2001; 123: 462-7.

[5] Shang Wu X, Liu WK, Cao J, Rodriguez JMC, Martins PAF, On the utilization of the reproducing kernel particle method for the numerical simulation of plane strain rolling. Int. J Mach Tool Manu 2003; 43: 89-102.

DOI: 10.1016/s0890-6955(02)00134-7

[6] Xiong S, Liu WK, Cao J, Li CS, Rodriguez JMC, Martins PAF, Simulation of bulk metal forming processes using the reproducing kernel particle method, Comput. Struct, 2005; 83: 574-87.

DOI: 10.1016/j.compstruc.2004.11.008

[7] Bonet J, Lok TS, Varational and momentum aspects of smooth particle hydrodynamics formulations, Comput Methods Appl Mech Eng 1999; 180: 97-115.

DOI: 10.1016/s0045-7825(99)00051-1

[8] Bonet J, Kulasegaram S, Correction and stabilization of smooth particle hydrodynamics method with applications in metal forming simulations, Int J Numer Meth Eng 2000; 47: 1189-214.

DOI: 10.1002/(sici)1097-0207(20000228)47:6<1189::aid-nme830>3.0.co;2-i

[9] Li GY, Belytschko T. Element-free Galerkin method for contact problems in metal forming analysis. Eng Computer 2001; 18: 62-78.

DOI: 10.1108/02644400110365806

[10] Liu GR, Gu YT. A point interpolation method for two-dimensional solid, Int. J Number Meth Eng 2001; 50: 937-51. Equivalent strain rate, 1/s.