Analytic Study on Pure Bending of Metal Sheets
Author(s) -
Jeerachai Supasuthakul,
Peter Hodgson,
Chunhui Yang
Publication year - 2011
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.3623655
Subject(s) - subroutine , von mises yield criterion , finite element method , curvature , bending , structural engineering , bending moment , isotropy , pure bending , materials science , yield (engineering) , computer science , mathematics , composite material , engineering , geometry , physics , quantum mechanics , operating system
In this work, analytical models of pure bending are developed to simulate a particular type of bend test and to determine possible errors arising from approximations used in analyzing experimental data. Analytical models proposed for steels include a theoretical solution of pure bending and a series of finite element models, based on the von Mises yield function, are subjected to different stress and strain conditions. The results show that for steel sheets the difference between measured and calculated results of the moment-curvature behaviour is small and the numerical results from the finite element models indicate that experimental results obtained from the test are acceptable in the range of the pure bending operation. Further for magnesium alloys, which exhibit unsymmetrical yielding, the algorithm of the yield function with a linear isotropic hardening model is implemented by programming a user subroutine in Abaqus for bending simulations of magnesium. The simulations using the proposed user subroutine extract better results than those using the von Mises yield function.
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