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ANALYSIS OF THREE-DIMENSIONAL UPSETTING PROCESS BY THE RIGID-PLASTIC REPRODUCING KERNEL PARTICLE METHOD
作者姓名:Y.  H.  Liu  J.  Chen  S.  Yu  X.  W.  Chen
作者单位:National Die and Mould CAD Engineering Research Center, Shanghai Jiao Tong University,Shanghai 200030, China
摘    要:A meshless approach, called the rigid-plastic reproducing kernel particle method (RKPM), is presented for three-dimensional (3D) bulk metal forming simulation. The approach is a combination of RKPM with the flow theory of 3D rigid-plastic mechanics. For the treatments of essential boundary conditions and incompressibility constraint, the boundary singular kernel method and the modified penalty method are utilized, respectively. The arc-tangential friction model is employed to treat the contact conditions. The compression of rectangular blocks, a typical 3D upsetting operation, is analyzed for different friction conditions and the numerical results are compared with those obtained using commercial rigid-plastic FEM (finite element method) software Deform^3D. As results show, when handling 3D plastic deformations, the proposed approach eliminates the need of expensive meshing and remeshing procedures which are unavoidable in conventional FEM and can provide results that are in good agreement with finite element predictions.

关 键 词:RKPM  不可压缩性  再制造  三维  CAD  锻造
收稿时间:2005-04-06
修稿时间:2006-07-12

Analysis of Three-dimensional Upsetting by the Rigid-plastic Reproducing Kernel Particle Method
Y. H. Liu J. Chen S. Yu X. W. Chen.ANALYSIS OF THREE-DIMENSIONAL UPSETTING PROCESS BY THE RIGID-PLASTIC REPRODUCING KERNEL PARTICLE METHOD[J].Acta Metallurgica Sinica(English Letters),2006,19(5):371-378.
Authors:YH Liu  J Chen  S Yu  XW Chen
Affiliation:National Die and Mould CAD Engineering Research Center, Shanghai Jiao Tong University,Shanghai 200030, China
Abstract:A meshless approach, called the rigid-plastic reproducing kernel particle method (RKPM), is presented for three-dimensional (3D) bulk metal forming simulation. The approach is a combination of RKPM with the flow theory of 3D rigid-plastic mechanics. For the treatments of essential boundary conditions and incompressibility constraint, the boundary singular kernel method and the modified penalty method are utilized, respectively. The arc-tangential friction model is employed to treat the contact conditions. The compression of rectangular blocks, a typical 3D upsetting operation, is analyzed for different friction conditions and the numerical results are compared with those obtained using commercial rigid-plastic FEM (finite element method) software Deform3D. As results show, when handling 3D plastic deformations, the proposed approach eliminates the need of expensive meshing and remeshing procedures which are unavoidable in conventional FEM and can provide results that are in good agreement with finite element predictions.
Keywords:meshless  reproducing kernel particle method(RKPM)  three-dimensional upsetting  incompressibility  modified penalty method
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