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LIU Yanfang
Department of Automotive
Engineering,
Beihang University,
Beijing 100083, China
SHI Fazhong
School of Mechanical Engineering
and Automation,
Beihang University,
Beijing 100083, China
XU Xiangyang
Department of Automotive
Engineering,
Beihang University,
Beijing 100083, China
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APPLICATION OF INTEGRATION
ALGORITHEMS FOR ELASTO-
PLASTICITY CONSTITUTIVE
MODEL FOR ANISOTROPIC
SHEET MATERIALS
Abstract:
Two algorithms of computing stress increment by using the elasto-plasticity constitutive model are firstly formulated, which are the Euler integration method and the radial return method. Hill’48 anisotropic yield criterion is used. The Euler integration method can not obtain more accurate computation of the stress increment as the radial return method unless enough subintervals are taken, by which the Euler integration method will take excessive computing time. Without decreasing any accuracy, the radial return method can save much time. Finally, a square cup deep drawing from NUMISHEET’93 benchmarks is simulated with a self-developed code SheetForm in order to investigate the accuracy and efficiency of the radial return method.
Key words:
Finite element method Sheet metal forming Anisotropy Elasto-plasticity
Integration algorithm
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