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Title: Constitutive Modeling of Magnesium Alloy Sheets

Abstract

Magnesium alloy sheets have unique mechanical properties: high in-plane anisotropy/asymmetry of yield stress and hardening response, which have not been thoroughly studied. The unusual mechanical behavior of magnesium alloys has been understood by the limited symmetry crystal structure of h.c.p metals and thus by deformation twinning. In this paper, the phenomenological continuum plasticity models considering the unusual plastic behavior of magnesium alloy sheet were developed for a finite element analysis. A new hardening law based on two-surface model was developed to consider the general stress-strain response of metal sheets such as Bauschinger effect, transient behavior and the unusual asymmetry. Three deformation modes observed during the continuous tension/compression tests were mathematically formulated with simplified relations between the state of deformation and their histories. In terms of the anisotropy and asymmetry of the initial yield stress, the Drucker-Prager's pressure dependent yield surface was modified to include the anisotropy of magnesium alloys. Also, characterization procedures of material parameters for the constitutive equations were presented and finally the correlation of simulation with measurements was performed to validate the proposed theory.

Authors:
; ;  [1];  [2];  [3];  [4]
  1. Department of Materials Science and Engineering, 2041 College Road, Ohio State University, Columbus, OH 43210 (United States)
  2. Department of Mechanical Engineering, Scott Laboratory, 201 West 19th Avenue, Ohio State University, Columbus, OH 43210 (United States)
  3. School of Materials Science and Engineering, Intelligent Textile System Research Center, Seoul National University, 56-1, Shinlim-Dong, Kwanak-Ku, Seoul 151-742 (Korea, Republic of)
  4. Division of Mechanical Engineering and Mechatronics, Kangwon National University, 192-1 Hyoja 2-Dong, Chunchon, Gangwon-Do, 200-701 (Korea, Republic of)
Publication Date:
OSTI Identifier:
21061741
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 908; Journal Issue: 1; Conference: NUMIFORM 2007: 9. international conference on numerical methods in industrial forming processes, Porto (Portugal), 17-21 Jun 2007; Other Information: DOI: 10.1063/1.2740887; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; ANISOTROPY; ASYMMETRY; COMPRESSION; COMPUTERIZED SIMULATION; CORRELATIONS; CRYSTAL STRUCTURE; CRYSTALS; DEFORMATION; FINITE ELEMENT METHOD; HARDENING; MAGNESIUM ALLOYS; PLASTICITY; PRESSURE DEPENDENCE; SHEETS; STRAINS; STRESSES; SURFACES; SYMMETRY; TRANSIENTS; TWINNING

Citation Formats

Lee, M. G., Piao, K., Wagoner, R. H., Lee, J. K., Chung, K., and Kim, H. Y.. Constitutive Modeling of Magnesium Alloy Sheets. United States: N. p., 2007. Web. doi:10.1063/1.2740887.
Lee, M. G., Piao, K., Wagoner, R. H., Lee, J. K., Chung, K., & Kim, H. Y.. Constitutive Modeling of Magnesium Alloy Sheets. United States. doi:10.1063/1.2740887.
Lee, M. G., Piao, K., Wagoner, R. H., Lee, J. K., Chung, K., and Kim, H. Y.. Thu . "Constitutive Modeling of Magnesium Alloy Sheets". United States. doi:10.1063/1.2740887.
@article{osti_21061741,
title = {Constitutive Modeling of Magnesium Alloy Sheets},
author = {Lee, M. G. and Piao, K. and Wagoner, R. H. and Lee, J. K. and Chung, K. and Kim, H. Y.},
abstractNote = {Magnesium alloy sheets have unique mechanical properties: high in-plane anisotropy/asymmetry of yield stress and hardening response, which have not been thoroughly studied. The unusual mechanical behavior of magnesium alloys has been understood by the limited symmetry crystal structure of h.c.p metals and thus by deformation twinning. In this paper, the phenomenological continuum plasticity models considering the unusual plastic behavior of magnesium alloy sheet were developed for a finite element analysis. A new hardening law based on two-surface model was developed to consider the general stress-strain response of metal sheets such as Bauschinger effect, transient behavior and the unusual asymmetry. Three deformation modes observed during the continuous tension/compression tests were mathematically formulated with simplified relations between the state of deformation and their histories. In terms of the anisotropy and asymmetry of the initial yield stress, the Drucker-Prager's pressure dependent yield surface was modified to include the anisotropy of magnesium alloys. Also, characterization procedures of material parameters for the constitutive equations were presented and finally the correlation of simulation with measurements was performed to validate the proposed theory.},
doi = {10.1063/1.2740887},
journal = {AIP Conference Proceedings},
number = 1,
volume = 908,
place = {United States},
year = {Thu May 17 00:00:00 EDT 2007},
month = {Thu May 17 00:00:00 EDT 2007}
}