An artificial load method to simulate non-steady state of roll bending
Received:March 06, 2020  Revised:July 09, 2020
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DOI:10.7511/jslx20200306002
KeyWord:roll bending  Eulerian grid  artificial load  elastoplastic analysis  finite element method
     
AuthorInstitution
郑子君 重庆理工大学 机械工程学院, 重庆
王洪 重庆理工大学 机械工程学院, 重庆
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Abstract:
      The conventional simulation of the non-steady-state of the structural steel roll bending suffers from the mesh scale and the contact algorithm employed,and thus is not very efficient.Inspired by computational fluid dynamics,the space between the bottom rollers is taken as a one-dimensional flow field,while the deflection of the work-piece as the field variable.Thus an Eulerian mesh with a much smaller grid number is employed,which significantly simplifies the contact treatment as well.The convective term in the Eulerian governing equation is considered as an artificial load,whose definition is the internal force unbalance when the material flows in the tangential direction but the configuration remains unchanged.By introducing the concept of an artificial load,the finite element formula is established by slightly modifying the classic Hermite planar beam element equation.The numerical example shows that by using the same element size,the proposed method and the conventional plane stress simulation scheme both delivers results close to the analytic solution.However,the proposed method is more efficient,and its result is smoother and more credible than the conventional simulation schemes.