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Predicting residual stresses in steady-state forming processes
Affiliation:1. College of Materials Science and Engineering, Chongqing University, Chongqing, 400044, China;2. Shanghai Key Laboratory of Materials Laser Processing and Modification, School of Materials Science and Engineering, Shanghai Jiao Tong University, 200040, China;1. School of Chemical Engineering, University of Science & Technology Liaoning, Anshan 114051, China;2. Institute of Advanced Grinding Technology, University of Science & Technology Liaoning, Anshan 114051, China;1. State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing 100083, China;2. Joining and Welding Research Institute, Osaka University, 11-1 Mihogaoka, Ibaraki, Osaka 567-0047, Japan;1. School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China;2. Shaanxi Diesel Engine Heavy Industry Co, Ltd, Xingping, Shaanxi 713105, China
Abstract:A two-dimensional, Eulerian finite element formulation for modeling isotropic, elasto-viscoplastic, steady-state deformations which is capable of predicting residual stresses is presented in this paper. This problem is solved in two parts, namely, solution of the boundary value problem by a mixed finite element formulation for the velocity and pressure fields, and integration of the constitutive equations along pathlines across the domain. In this formulation, a discontinuous pressure field is used in the finite element formulation to reduce the system of equations to a system for only the velocity field. A new method for integrating the constitutive equations is also presented which improves the efficiency of the algorithm.
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