Open Access

ARTICLE

An Implicit Integration Scheme for a Nonisothermal Viscoplastic, Nonlinear Kinematic Hardening Model

by M. Akamatsu¹, K. Nakane², N. Ohno¹

1 Department of Mechanical Science and Engineering, Nagoya University, Chikusa-ku, Nagoya 464-8603, Japan
2 Department of Computational Science and Engineering, Nagoya University, Chikusa-ku, Nagoya 464-8603, Japan

Computer Modeling in Engineering & Sciences 2005, 10(3), 217-228. https://doi.org/10.3970/cmes.2005.010.217

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.

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Keywords

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