TY - JOUR
T1 - The equivalence of the radial return and Mendelson methods for integrating the classical plasticity equations
AU - Bednarcyk, Brett A.
AU - Aboudi, Jacob
AU - Arnold, Steven M.
PY - 2008/2
Y1 - 2008/2
N2 - The radial return method is a well-known algorithm for integrating the classical plasticity equations. Mendelson presented an alternative method for integrating these equations in terms of the so-called plastic strain-total strain plasticity relations. In the present communication, it is shown that, although the two methods appear to be unrelated, they are actually equivalent. A table is provided demonstrating the step by step correspondence of the radial return and Mendelson algorithms in the case of isotropic hardening.
AB - The radial return method is a well-known algorithm for integrating the classical plasticity equations. Mendelson presented an alternative method for integrating these equations in terms of the so-called plastic strain-total strain plasticity relations. In the present communication, it is shown that, although the two methods appear to be unrelated, they are actually equivalent. A table is provided demonstrating the step by step correspondence of the radial return and Mendelson algorithms in the case of isotropic hardening.
KW - Classical plasticity
KW - Mendelson method
KW - Radial return method
UR - http://www.scopus.com/inward/record.url?scp=38549131207&partnerID=8YFLogxK
U2 - 10.1007/s00466-007-0228-0
DO - 10.1007/s00466-007-0228-0
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AN - SCOPUS:38549131207
SN - 0178-7675
VL - 41
SP - 733
EP - 737
JO - Computational Mechanics
JF - Computational Mechanics
IS - 5
ER -