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| Numerical algorithm of plasticity with superposed A-F kinematic hardening rule |
| Revised:December 29, 2003 |
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| DOI：10.7511/jslx20061005 |
| KeyWord:ANSYS |
| GAO Bing-jun CHEN Xu |
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| Abstract: |
| Taking Chaboche kinematic hardening rule as example, numerical algorithm of plasticity with superposed several Armstrong-Frederick(A-F) kinematic hardening rule was developed under the assumption of von Misses yield criterion and normal plasticity flow rule.Internal iteration was successfully implemented by combining the radial return mapping algorithm with the fourth-order Runge-Kuta algorithm.The consistent tangent matrix was also deduced to determine the trial strain at the end of every internal iteration.The algorithm was inserted into the FEA code ANSYS by its User Programmable Features(UPFs),which allow user to write his own plasticity laws.The algorithm and the UPFs code were verified by a single square element which can represent the situation of uniaxial cyclic loading.The stress and strain hysteresis loop was worked out,and the ratcheting strain was in good agreement with that obtained from experiments. |
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