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Elasto-plastic finite element method with directional reduced integration in sheet metal forming( 선향적 저감 적분을 이용한 탄소성 유한 요소법에 의한 박판성형해석 )
Sheet metal forming process undergoes bending and geometrical nonlinearity which involves complicated stress distribution and large rigid body rotation and translation. The analysis of sheet metal forming process, therefore, is generally carried out by finite element method with large deformation. In the finite element method, some remedy is required to reduce the locking phenomenon due to bending effect. In this thesis, An updated Lagrangian finite element method with directional reduced integration for hourglass control is applied to analyse the sheet metal forming process. The result of the analysis are compared with the result obtained from axisymmetric hydrostatic bulging experiment. The result show the directional reduced integration method could predict precise sheet metal forming process than the full integration method. This algorithm, adapted in this thesis is proved to improve the preciseness of approximate solution and computing efficiency by removing the hourglass mode and shear locking.