scholarly journals Stabilized finite element method for incompressible solid dynamics using an updated Lagrangian formulation

2021 ◽  
Vol 384 ◽  
pp. 113923
Author(s):  
R. Nemer ◽  
A. Larcher ◽  
T. Coupez ◽  
E. Hachem
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lagrangian Formulation ◽  
Stabilized Finite Element ◽  
Stabilized Finite Element Method ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian ◽  
Solid Dynamics ◽  
Element Method

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.

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