A reproducing kernel particle method based on incompressible rigid-plastic/rigid-viscoplastic materials

作者：Liu, Yong-Hui; YU, Song; CHEN, Jun; LI, Cong-Xin

来源：Journal of Plasticity Engineering, 2006, 13(5): 1-5.

A reproducing kernel particle method (RKPM) based on incompressible rigid-plastic /rigid-viscoplastic materials for analysis of metal forming is proposed. This method is a combination of meshless method with the flow theory for rigid-plastic/viscoplastic materials, which further expands the application of RKPM The boundary singular kernel method and the modified penalty method are utilized to treat the essential boundary conditions and incompressibility constraint, respectively. The stiffness equation for analysis of metal forming using RKPM is derived and its key algorithms are given. A plain strain upsetting is analyzed and the numerical results are compared with those obtained by commercialized rigid-plastic FEM software Deform 2D. The good agreement demonstrates the validity and effectiveness of the proposed method.

• 出版日期2006-10
• 单位上海交通大学