The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
Transactions ID Number: 89-794
Full Name: Yong-Ming Guo
Position: Assistant Professor
Age: ON
Sex: Male
Address: Department of Mechanical Engineering Kagoshima University, 1-21-40 Korimoto, Kagoshima City, 890-0065
Country: JAPAN
Tel: +81 (0)992858258
Tel prefix:
Fax: +81 (0)992503181
E-mail address: guoy@mech.kagoshima-u.ac.jp
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Title of the Paper: A rigid-plastic hybrid PCM/FEM for metal forming problems
Authors as they appear in the Paper: Yong-Ming Guo, Shunpei Kamitani
Email addresses of all the authors: guoy@mech.kagoshima-u.ac.jp,kamitani@mech.kagoshima-u.ac.jp
Number of paper pages: 10
Abstract: Point collocation methods (PCM) have some advantages such as no mesh, no integration. While, the robustness of the point collocation methods is an issue especially when scattered and random points are used. To improve the robustness, some studies suggest that the positivity conditions can be important when using the PCMs. For boundary points, however, the positivity conditions cannot be satisfied, so that it is possible to get large numerical errors from the boundary points when using the point collocation methods. Specifically, the errors could arise in point collocation analyses with complicated boundary conditions. In this paper, by introducing a boundary layer of finite element in boundary domain of workpiece, unsatisfactory issue of the positivity conditions of boundary points can be avoided, and the complicated boundary conditions of metal forming can be easily imposed with the boundary layer of finite element. A modified MLS approximation is also proposed, i!
ts shape functions have Kronecker-delta property. Therefore, the unsatisfactory issue of the essential node condition can be avoided in the modified MLS approximation. To obtain very simple formulas of the shape function derivatives, the local coordinates are used in the hybrid PCM/FEM. An axisymmetric forging problem is analyzed by using the rigid-plastic hybrid PCM/FEM.
Keywords: Hybrid method, Meshless method, Point collocation method, FEM, Kronecker-delta property, Positivity conditions, Local coordinates, Metal forming.
EXTENSION of the file: .doc
Special (Invited) Session: The Forging Analysis by Using the Rigid-Plastic Hybrid PCM/FEM
Organizer of the Session: 637-178
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