Semi-implicit Integration of Constitutive Equations with Non-linear Mixed Hardening

علوم کاربردی و محاسباتی در مکانیک

Article 7, Volume 32, Issue 1 - Serial Number 23, 2021, Pages 111-132   

Document Type: Original Article

DOI: 10.22067/jacsm.2021.56463.0

Authors

Mojtaba Afife Golsheikhi¹; Mehrzad Sharifian^{* 2}; Mehrdad Sharifian²

¹Civil Engineering Department, Quchan University of Technology, Quchan, Iran.

²Department of Civil Engineering, Quchan University of Technology, Quchan, Iran.

Abstract

In this study, a stress updating method is formulated in a semi-implicit way for the von Mises plasticity model with the Chaboche nonlinear isotropic hardening and the Armstrong-Frederick kinematic hardening in the regime of the small deformations. For this purpose, the exponential map integration method is utilized. Then, in order to investigate the correctness, accuracy and convergence of the new proposed method, the numerous numerical tests are carried out and their results are compared with previously accepted methods. The results show considerable increasing in accuracy of the presented method and the second-order convergence rate of the method. On the other hand, in this research, the derived relationships have been presented in a way that it is possible to extract data from any desired point during the plastic step; finally, it is studied that selecting the data of which point of the elastoplastic loading step leads to the most accurate results.

Keywords

Integration; exponential map; semi-implicit method; von Mises model; non-linear mixed hardening

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