A Lagrangian cell‐centred finite volume method for metal forming simulation

• Published in: International journal for numerical methods in engineering Vol. 109; no. 13; pp. 1777 - 1803
• Main Authors: Cardiff, P., Tuković, Ž., Jaeger, P. De, Clancy, M., Ivanković, A.
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 30-03-2017
• Subjects: Accuracy; Benchmarking; Computer simulation; Elastoplasticity; finite volume methods; Forming; lagrangian; Mathematical analysis; Mathematical models; OpenFOAM; Oscillations; plasticity
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.5345

Summary
The current article presents a Lagrangian cell‐centred finite volume solution methodology for simulation of metal forming processes. Details are given of the mathematical model in updated Lagrangian form, where a hyperelastoplastic J2 constitutive relation has been employed. The cell‐centred finite volume discretisation is described, where a modified discretised is proposed to alleviate erroneous hydrostatic pressure oscillations; an outline of the memory efficient segregated solution procedure is given. The accuracy and order of accuracy of the method are examined on a number of 2‐D and 3‐D elastoplastic benchmark test cases, where good agreement with available analytical and finite element solutions is achieved. Copyright © 2016 John Wiley & Sons, Ltd.