Analysis of axisymmetric extrusion through curved dies by using the method of weighted residuals

가중잔류항법을 이용한 곡면금형의 축대칭 전방압출해석

The paper is concerned with the analysis of axisymmetric forward extrusion by using the method of weighted residuals. In the method of weighted residuals, the flow function and the stress functions are assumed so as to cover the global control volume. The derived stress and strain components are used to formulate a constitutive equation in the error form, so that the error is minimized to determine the stress and strain components. The method of least squares is then chosen for the minimization of errors. The distribution of stresses and strains and the forming load are determined for the workhardening material considering the frictional effect at the die surface. The computed results are very similar to those obtained by the finite element method. The method is simpler in application and requires less computational time than the finite element method. Experiments are carried out for aluminum and steel specimens using curved dies. It is found that the experimental observation is mostly in agreement with the computed results by the method of weighted residuals.

본 연구에서는 냉간 축대칭 전방 압출에 가중잔류항법을 적용하여 재료의 가 공 경화 및 강소성 경계를 고려하는 프로그램을 개발하여 변형도, 응력, 변형력, 강소 성 경계등을 FEM과 동일한 조건에서 비교 해석하고 다른 공정에 적용할 수 있게 하고 또한 곡면다이와 원추형다이를 설계 제작하여 다이의 형상과 단면 감소율이 변형도와 응력 분포에 미치는 영향을 검토하고 압출된 제품의 성질을 분석하여 실제 공정에 이 바지하며 이론 계산과 실험을 비교함이 목적이다.