Analysis of the Axisymmetric Hydro-Mechanical Deep Drawing Process by Using the Finite Element Method

유한 요소법을 이용한 축대칭 하이드로 미케니칼 디프 드로잉 공정의 해석

The study is concerned with the rigid-plastic element analysis for axisymmetric hydromechanical deep drawing in which the fluid flow influences the metal deformation. Due to the fluid pressure acting on the sheet material hydromechanical deep drawing is distinguished from the conventional deep drawing processes. In considering the pressure effect, the governing equation for fluid pressure is solved and the result is reflected on the global stiffness matrix. The solution procedure consists of two stages ; i.e., initial bulging of the sheet surface before the initiation of steady fluid flow in the flange and fluid-lubricated stage. The problem is decoupled between fluid analysis and analysis of solid deformation by deformation by iterative feedback of mutual computed results. The corresponding experiments are carried out for axisymmetric hydro-mechanical deep drawing of annealled aluminium sheet as well as for deep drawing. It has been shown from the experiments that the limit drawing ratio for hydro-mechanical deep drawing is improved as compared with deep drawing. The computed results are in good agreement with the experiment for variation of punch head and chamber pressure with respect to the punch travel and for distribution of thicknees strain. It is thus shown that the present method of analysis can be effectively applied to the analysis of axisymmetric hydro-mechanical deep drawing processes.

본 연구에서는 축대칭 형상의 하이드로 미케니칼 디프드로잉 공정을 강소성 유한요소법으로 해석하는 것이다. 본 논문에서는 Fig.1에서 보이는 바와 같은 경우 에 대하여 평두 펀치(flat headed punch)를 사용한 공정을 강소성 유한요소법으로 해 석하였으며 펀치 행정에 따른 챔버내의 압력 및 플랜지부의 압력분포를 구하였다. 접촉부의 처리는 플랜지부의 압력분포를 구하였다. 접촉부의 처리는 Yang등이 제안 한 방법을 적용하였다. 이론해석의 타당성을 알아보기 위하여 금형을 설계, 제작하 고 실험을 수행하여 결과를 비교 검토하였다.