Steady and non-steady state analysis of bulk forming processes by the reproducing kernel particle method

Finite Elements in Analysis and Design

Volumn 41, Issue 6, 2005, Pages 599-614

  Xiong, Shangwu ^a   Li, C S ^b   Rodrigues, J M C ^c   Martins, P A F ^c  

^a Northwestern University   (United States)

^b NORTHEASTERN UNIVERSITY   (China)

^c INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Bulk metal forming; Finite element method; Reproducing kernel particle method

Indexed keywords

COMPRESSIBLE FLOW; COMPUTER SIMULATION; FINITE ELEMENT METHOD; PLASTIC DEFORMATION; SHEET METAL; STRAIN; TWO DIMENSIONAL;

BULK METAL FORMING; DISCRETIZATION; MATERIAL FLOW; REPRODUCING KERNEL PARTICLE METHOD;

METAL FORMING;

EID: 13544259546     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2004.10.003     Document Type: Article

References (45)

1. L.B. Lucy A numerical approach to the testing of the fission hypothesis Astron. J. 82 1977 1013
2. R.A. Gingold, and J.J. Monaghan Smoothed particle hydrodynamics theory and application to non-spherical star Mon. Not. R. Astron. Soc. 181 1977 375
3. A.J. Chorin Vortex sheet approximation of boundary layers J. Comput. Phys. 27 1978 428
4. T. Liszka An interpolation method for an irregular net of nodes Int. J. Numer. Methods Eng. 20 1984 1599
5. B. Nayroles, G. Touzot, and P. Villon Generalizing the finite-element method diffusive approximation and diffuse elements Comput. Mech. 10 1992 307
6. T. Belytschko, Y.Y. Lu, and L. Gu Element free Galerkin methods Int. J. Numer. Methods Eng. 37 1994 229
7. J. Braun, and M.A. Sambridge A numerical method for solving partial differential equation on highly irregular evolving grids Nature (London) 376 1995 655
8. W.K. Liu, S. Jun, and Y.F. Zhang Reproducing kernel particle methods Int. J. Numer. Methods Fluids 20 1995 1081
9. T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl Meshless methods an overview and recent developments Comput. Methods Appl. Math. 139 1996 3
10. E. Onate, S. Idelsohn, O.C. Zienkiewicz, and R.L. Taylor A stabilized finite point method for analysis of fluid mechanics problems Comput. Methods Appl. Math. 139 1996 315
11. C.A. Duarte, and J.T. Oden An h-p adaptive method using clouds Comput. Methods Appl. Math. 139 1996 237
12. J.M. Melenk, and I. Babuska The partition of unity finite element method basic theory and applications Comput. Methods Appl. Math. 139 1996 289
13. S. Jun, W.K. Liu, and T. Belytschko Explicit reproducing kernel particle methods for large deformation problems Int. J. Numer. Methods Eng. 41 1998 137
14. S.N. Atluri, and T. Zhu A new meshless local Petrov-Galerkin (MLPG) approach to nonlinear problems in computer modelling and simulation Comput. Models Simul. Eng. 3 1998 187
15. C.D. Munz, R. Schneider, and U. Voss A finite-volume particle-in-cell method for the numerical simulation of devices in pulsed-power technology Surv. Math. Ind. 8 1999 243
16. G. Yagawa, and T. Furukawa Recent developments of free mesh method Int. J. Numer. Methods Eng. 47 2000 1419
17. S.G. Bardenhagen, J.U. Brackbill, and D. Sulsky The material-point method for granular materials Comput. Methods Appl. Math. 187 2000 529
18. S.F. Li, and W.K. Liu Meshfree and particle methods and their applications Appl. Mech. Rev. 55 2002 1
19. J.S. Chen, C. Roque, C. Pan, and S.T. Button Analysis of metal forming process based on meshless method J. Mater. Proc. Technol. 80 1998 642
20. J.S. Chen, C. Pan, C.T. Wu, and C. Roque A Lagrangian reproducing kernel particle method for metal forming analysis Comput. Mech. 19 1998 153
21. S. Kulasegaram, Development of particle based meshless method with applications in metal forming simulations, Ph.D. Thesis, University of Wales, Swansea, 1999.
22. J. Bonet, and S. Kulasegaram Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations Int. J. Numer. Methods Eng. 47 2000 1189
23. J.S. Chen, H.P. Wang, W.K. Liu, Meshfree method with enhanced boundary condition treatment for metal forming simulation, The 1999 NSF Design & Manufacturing Grantees Conference, Queen Mary, USA, 1999.
24. J.S. Chen, and H.P. Wang New boundary condition treatments in meshless computation of contact problems Comput. Methods Appl. Math. 187 2000 441
25. J.S. Chen, H.P. Wang, Meshfree smooth surface contact algorithm for sheet metal forming, SAE 2000 World Congress, Paper 2000-01-1103, SAE International, 2000.
26. S.P. Yoon, C.T. Wu, H.P. Wang, and J.S. Chen Efficient meshfree formulation for metal forming simulations J. Eng. Mater.-T ASME 123 2001 462
27. S.P. Yoon, and J.S. Chen Accelerated meshfree method for metal forming simulation Finite Elem. Anal. Des. 38 2002 937
28. D. Qian, S. Li, J. Cao, 3D simulation of manufacturing process by a meshfree contact algorithm, Proceedings of the 20th International Congress of IUTAM, Chicago, 2000.
29. N. Song, D. Qian, J. Cao, W.K. Liu, and S. Li Effective model for prediction of springback in flaging J. Eng. Mater.-T ASME 123 2001 456
30. G.Y. Li, and T. Belytschko Element-free Galerkin method for contact problems in metal forming analysis Eng. Comput. 18 2001 62
31. Y.M. Guo, and K. Nakanishi A rigid-plastic meshless method for forming simulations Engineering Plasticity From Macroscale to Nanoscale PTS 1 and 2, Key Eng. Mater. 233-2 2003 341
32. J. Yvonnet, F. Chinesta, The natural element method in metal forming simulations involving large strains, Proceedings of the LUXFEM'03 International Conference, Luxembourg, 2003.
33. S. Xiong, J.M.C. Rodrigues, P.A.F. Martins, Simulation of plane strain rolling using the element free Galerkin method, Proceedings of the Second ICFG Workshop on Process Simulation in Metal Forming Industry, Italy, 2002.
34. X. Shangwu, W.K. Liu, J. Cao, J.M.C. Rodrigues, and P.A.F. Martins On the utlization of the reproducing kernel particle method for the numerical simulation of plane strain rolling Int. J. Mach. Tool. Manuf. 43 2003 89
35. S. Xiong, J.M.C. Rodrigues, and P.A.F. Martins Numerical simulation of three-dimensional steady-state rolling by the reproducing kernel particle method Eng. Comput. 7 2003 855
36. S. Xiong, J.M.C. Rodrigues, and P.A.F. Martins Three-dimensional modelling of steady-state rolling by the reproducing kernel particle method Int. J. Form. Processes 6 2003 179
37. S. Xiong, J.M.C. Rodrigues, and P.A.F. Martins Application of the element free Galerkin method to the simulation of plane strain rolling Eur. J. Mech. A-Solid 23 2004 77
38. S. Xiong, W.K. Liu, J. Cao, C.S. Li, J.M.C. Rodrigues, P.A.F. Martins, Simulation of bulk metal forming processes using the reproducing kernel particle method, Comput. Struct., accepted for publication.
39. K. Osakada, J. Nakano, and K. Mori Finite-element method for rigid-plastic analysis of metal forming - formulation for finite deformation Int. J. Mech. Sci. 24 1982 459
40. M.L. Alves, J.M.C. Rodrigues, P.A.F. Martins, Numerical and experimental simulation of three-dimensional cold forming parts, Proceedings of the Seventh International Conference on Comput. Plasticity, COMPLAS 2003, Barcelona, 2003, p. 163.
41. S.B. Petersen, and P.A.F. Martins Finite element remeshing a metal forming approach for quadrilateral mesh generation and refinement Int. J. Numer. Methods Eng. 40 1997 1449
42. M.L. Alves, J.M.C. Rodrigues, and P.A.F. Martins Simulation of three-dimensional bulk forming processes by the finite element flow formulation Model. Simul. Mater. Sci. 11 5 2003 803
43. S. Shida, and H. Awazuhara Rolling load and torque in cold rolling J. Jpn. Soc. Tech. Plast. 14 1973 267
44. G.J. Li, and S. Kobayashi Rigid-plastic finite element analysis of plane strain rolling J. Eng. Ind. 55 1982 104
45. Y.J. Hwu, and J.G. Lenard A finite element study of flat rolling J. Eng. Mater. Technol. 110 1988 22