Analysis of the Large Plastic Deformation Involved in Wear Processes Using the Finite Element Method With an Updated Lagrangian Formulation

1987 ◽  
Vol 109 (2) ◽  
pp. 330-337 ◽  
Author(s):  
Nobuo Ohmae
Keyword(s):  
Finite Element Method ◽  
Plastic Deformation ◽  
Finite Element ◽  
Equivalent Stress ◽  
Lagrangian Formulation ◽  
The Finite Element Method ◽  
Large Plastic Deformation ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian ◽  
Element Method

Large plastic deformation caused by friction for high purity copper was investigated using the finite element method with an updated Lagrangian formulation. The phenomenological background of this large plastic deformation was studied with a scanning electron microscope, and the nucleation of voids similar to those obtained for copper rolled to over 50 percent reduction was observed. Void nucleation was found to correlate with the agglomeration of over-saturated vacancies formed under high plastic strains. The computer-simulation analyzed such heavy deformation with an equivalent stress greater than the tensile strength and with an equivalent plastic strain of 0.44. Crack propagation was discussed by computing the J-integrals.

Analysis of Optimal Vertical in Angular U-Bending Process

2011 ◽  
Vol 337 ◽  
pp. 346-349
Author(s):  
Tsung Chia Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lagrangian Formulation ◽  
Blank Holder ◽  
Elastic Plastic ◽  
Metal Sheets ◽  
Bending Process ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian ◽  
Tool Angle

This study aims to analyze the effects of angular U-bending process on the springback of metal sheets. Based on Updated Lagrangian Formulation (ULF), the 3D incremental elastic-plastic Finite Element Method was inferred to simulate the U-bending process of metal sheets. The die/blank holder profile with angles of α=-4°, α=-2°, α=0°, α=2°, α=4° and die/punch profile with radiuses of Rp=Rd=6.0mm were analyzed to determine the influence of tool angles on the springback. With different tool angles to proceed the U-bending process of metal sheets, it is found that the larger or smaller die angles, the more springback magnitude. When perpendicular U-sheets are required, θ1 of the U-sheet presents 90 degree on the tool angle α=-1.2° and θ2 shows 90 degrees on the tool angle α=-0.4°. The aim of this study is to investigate the effects of angle variables on the springback in the U-bending process and to obtain useful data from the industrial field.

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