A Lagrangian cell‐centred finite volume method for metal forming simulation. (7th September 2016)

• Record Type: Journal Article
• Authors: Cardiff, P.; Tuković, Ž.; Jaeger, P. De; Clancy, M.; Ivanković, A.
• Is Part Of: International journal for numerical methods in engineering. Volume 109:Number 13(2017)
• Page Start: 1777
• Page End: 1803
• Publication Date: 2016-09-07
• Subjects: finite volume methods -- lagrangian -- plasticity -- OpenFOAM; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.5345
• Languages: English
• ISSNs: 0029-5981

Abstract

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 J 2 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.