Elastic-Plastic Finite Element Analysis of Sheet Metal Forming Processes(II) - Analysis of Metal Forming Processes with Contact Condition -

탄소성 유한요소법에 의한 박판성형 공정의 해석 II - 접촉 조건을 가지는 박판성형 공정의 해석 -

Based on the formulation which incorporates large deformation and anisotropy, an elastic-plastic finite element code is developed with membrane element to include the contact treatment. For the analysis of the general sheet metal forming process with contact condition, the treatment of contact is considered by employing the successive skew coordinate system. Three kinds of sheet metal forming processes with contact conditions are analyzed; stretching of a square diaphragm with a hemispherical punch, deep drawing of a circular cup and deep drawing of a square cup. Then the computational results are compared with the experiment. The computed loads and the distribution of the thickness strain are in good agreement with the experiment for all cases. However, the computational results of the thickness strain show the effect of bending can not be ignored in the deep drawing process whereas the effect of bending is negligible in stretching.

본 연구에서 사용된 유한요소 방정식은 국부 질점좌표계(natural convected coordinate system)를 이용하여 변형을 묘사하는 대변형을 고려한 탄소성 증분 수식을 사용하였고, 국부 질점 좌표계를 사용함으로써 변형도 성분이나 구성 방정식의 성분들 에 대한 좌표 변환 과정을 생략할 수 있다. 재료는 수직 이방성으로 가정하였다.