@Article{cmes.2005.010.217,
AUTHOR = {M.  Akamatsu, K.  Nakane, N.  Ohno},
TITLE = {An Implicit Integration Scheme for a Nonisothermal Viscoplastic, Nonlinear Kinematic Hardening Model},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {10},
YEAR = {2005},
NUMBER = {3},
PAGES = {217--228},
URL = {http://www.techscience.com/CMES/v10n3/24875},
ISSN = {1526-1506},
ABSTRACT = {In this study, a fully implicit integration scheme is developed for a nonisothermal viscoplastic, nonlinear kinematic hardening model. Nonlinear dynamic recovery in addition to strain hardening is assumed for the evolution of multiple back stresses so that ratcheting and mean-stress relaxation can be properly simulated. Temperature dependence of back stress evolution is also taken into account in the constitutive model. By discretizing a set of such advanced constitutive relations using the backward Euler method, a tensor equation is derived and linearized to iteratively achieve the implicit integration of constitutive variables. The fully implicit integration scheme developed is programmed as a subroutine in a finite element code by assuming a power-law of dynamic recovery. Nonisothermal numerical examples are then given to demonstrate the performance of the implicit integration scheme.},
DOI = {10.3970/cmes.2005.010.217}
}