Evaluation of anisotropic constitutive models: Mixed anisotropic hardening and non-associated flow rule approach
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- Title
- Evaluation of anisotropic constitutive models: Mixed anisotropic hardening and non-associated flow rule approach
- Authors
- Mohsen Safaei; Zang, SL; Lee, MG; De Waele, W
- Date Issued
- 2013-08
- Publisher
- Elsevier
- Abstract
- In this paper we present a non-associated plane stress anisotropic constitutive model with mixed isotropic-kinematic hardening. The quadratic Hill 1948 and non-quadratic Yld-2000-2d yield criteria [Barlat F, et al. Int J Plasticity 2003;19: 1297-1319.] are considered in the non-associated flow rule (non-AFR) model to account for anisotropic behavior. To predict accurate hardening in cyclic loading conditions, a modification of the hardening model proposed by Chun et al. [Chun BK, et al., Int J Plasticity 2002; 18: 571-595.] is adopted. This one-surface non-linear mixed isotropic-kinematic hardening model does not require loading criterion and can predict Bauschinger effect, transient behavior and permanent softening. The developed model was implemented as a user-defined material subroutine (UMAT) into the commercial finite element code ABAQUS/Standard based on fully implicit backward Euler's method. Cup drawing simulation results for an automotive sheet metal AA5754-O show that the implemented hardening model avoids under- and over-estimation of the cup height respectively generated by kinematic and isotropic hardening laws. Moreover, as will be seen in the results of highly textured AA2090-T3, both cup height and earing profile generated by non-associated flow models are in better agreement with experimental results. Finally, the Yld2004-18p and non-AFR Yld2000-2d models are compared in terms of prediction of directional Lankford coefficients and yield stresses. It is shown that a same order of accuracy that is obtained by Yld2004-18p can be achieved by the non-AFR Yld2000-2d. (C) 2013 Elsevier Ltd. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27414
- DOI
- 10.1016/J.IJMECSCI.2013.04.003
- ISSN
- 0020-7403
- Article Type
- Article
- Citation
- INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, vol. 73, page. 53 - 68, 2013-08
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