An Upper bound Analysis of Metal Forming Processes by Nodal Velocity Fields using Shape Function

형상함수를 이용한 절점 속도장애 의한 소성가공 공정의 상계해석

The velocity fields can be composed by nodal points using shape function. Forging load and deformed profile are obtained by minimizing total energy consumption rate which is function of unknown velocities at each nodal points. The velocity and stremiline distribution can also be investigated at the deformation profile. The effectiveness of proposed method in this paper is demonstrated by comparing with those of FEM and experiment, that is the results of upset forging problem. Obtained results are compared with FEM and experiment and fairly good agreement is found between them.