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

M. Akamatsu1, K. Nakane2, N. Ohno1,2
Department of Mechanical Science and Engineering, Nagoya University, Chikusa-ku, Nagoya 464-8603, Japan
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.

Keywords

Implicit integration, Viscoplasticity, Nonlinear kinematic hardening, Nonisothermal loading.

Cite This Article

Akamatsu, M., Nakane, K., Ohno, N. (2005). An Implicit Integration Scheme for a Nonisothermal Viscoplastic, Nonlinear Kinematic Hardening Model. CMES-Computer Modeling in Engineering & Sciences, 10(3), 217–228.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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