Constitutive Modeling for Cyclic Behavior of AZ31B Magnesium Alloy and its Application

Article Preview

Abstract:

Fatigue testing was conducted on AZ31B-H24 magnesium alloy in strain-control condition. An unusual asymmetric shape of the hysteresis loop was the key feature of the cyclic behavior. A continuum-based cyclic plasticity model was developed to follow the asymmetric hardening behavior of wrought magnesium alloys. The proposed model was implemented in a UMAT subroutine to run with Abaqus/Standard. It was demonstrated that the UMAT was able to follow the cyclic hardening behavior of AZ31B under uniaxial loading. An energy-based damage parameter was proposed for estimating the fatigue crack initiation life. The developed UMAT along with the proposed damage parameter were used for fatigue modeling of an automotive substructure made of magnesium. It was shown that the proposed asymmetric model was more promising than a symmetric model.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 891-892)

Pages:

809-814

Citation:

Online since:

March 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] M.K. Kulekci, Magnesium and Its Alloys Applications in Automotive Industry, International Journal of Advanced Manufacturing Technology, 39 (2008) 851-865.

DOI: 10.1007/s00170-007-1279-2

Google Scholar

[2] I. Polmear, Light Alloys: from Traditional Alloys to Nanocrystals, Butterworth-Heinemann, (2006).

Google Scholar

[3] Z.B. Sajuri, Y. Miyashita, Y. Hosokai, Y. Mutoh, Effects of Mn Content and Texture on Fatigue Properties of As-Cast and Extruded AZ61 Magnesium Alloys, International Journal of Mechanical Sciences, 48 (2006) 198-209.

DOI: 10.1016/j.ijmecsci.2005.09.003

Google Scholar

[4] M. Matsuzuki, S. Horibe, Analysis of Fatigue Damage Process in Magnesium Alloy AZ31, Materials Science and Engineering: A, 504 (2009) 169-174.

DOI: 10.1016/j.msea.2008.10.034

Google Scholar

[5] M. Li, Constitutive Modeling of Slip, Twinning, and Untwinning in AZ31B Magnesium, in, The Ohio State University, (2006).

Google Scholar

[6] X. Lou, M. Li, R. Boger, S. Agnew, R. Wagoner, Hardening Evolution of AZ31B Mg Sheet, International Journal of Plasticity, 23 (2007) 44-86.

DOI: 10.1016/j.ijplas.2006.03.005

Google Scholar

[7] L. Wu, S. Agnew, Y. Ren, D. Brown, B. Clausen, G. Stoica, H. Wenk, P. Liaw, The Effects of Texture and Extension Twinning on the Low-Cycle Fatigue Behavior of a Rolled Magnesium Alloy, AZ31B, Materials Science and Engineering: A, 527 (2010).

DOI: 10.1016/j.msea.2010.07.047

Google Scholar

[8] F. Lv, F. Yang, Q. Duan, Y. Yang, S. Wu, S. Li, Z. Zhang, Fatigue Properties of Rolled Magnesium Alloy (AZ31) Sheet: Influence of Specimen Orientation, International Journal of Fatigue, 33 (2011) 672-682.

DOI: 10.1016/j.ijfatigue.2010.10.013

Google Scholar

[9] M.G. Lee, R. Wagoner, J. Lee, K. Chung, H. Kim, Constitutive Modeling for Anisotropic/Asymmetric Hardening Behavior of Magnesium Alloy Sheets, International Journal of Plasticity, 24 (2008) 545-582.

DOI: 10.1016/j.ijplas.2007.05.004

Google Scholar

[10] J. Kim, H. Ryou, D. Kim, W. Lee, S.H. Hong, K. Chung, Constitutive Law for AZ31B Mg Alloy Sheets and Finite Element Simulation for Three-point Bending, International Journal of Mechanical Sciences, 50 (2008) 1510-1518.

DOI: 10.1016/j.ijmecsci.2008.08.004

Google Scholar

[11] M. Li, X. Lou, J. Kim, R. Wagoner, An Efficient Constitutive Model for Room-temperature, Low-rate Plasticity of Annealed Mg AZ31B Sheet, International Journal of Plasticity, 26 (2010) 820-858.

DOI: 10.1016/j.ijplas.2009.11.001

Google Scholar

[12] S.B. Behravesh, Fatigue Characterization and Cyclic Plasticity Modeling of Magnesium Spot Joints, in: Mechanical Engineering, University of Waterloo, (2013).

Google Scholar

[13] O. Cazacu, F. Barlat, A Criterion for Description of Anisotropy and Yield Differential Effects in Pressure-Insensitive Metals, International Journal of Plasticity, 20 (2004) 2027-(2045).

DOI: 10.1016/j.ijplas.2003.11.021

Google Scholar

[14] R.T. Shield, H. Ziegler, On Prager's Hardening Rule, Zeitschrift für Angewandte Mathematik und Physik, 9 (1958) 260-276.

DOI: 10.1007/bf02033030

Google Scholar

[15] J. Park, D. Nelson, Evaluation of an Energy-Based Approach and a Critical Plane Approach for Predicting Constant Amplitude Multiaxial Fatigue Life, International Journal of Fatigue, 22 (2000) 23-39.

DOI: 10.1016/s0142-1123(99)00111-5

Google Scholar

[16] K.O. Lee, S.G. Hong, S.B. Lee, A New Energy-based Fatigue Damage Parameter in life Prediction of High-temperature Structural Materials, Materials Science and Engineering: A, 496 (2008) 471-477.

DOI: 10.1016/j.msea.2008.07.035

Google Scholar

[17] J. Albinmousa, H. Jahed, S. Lambert, Cyclic Behaviour of Wrought Magnesium Alloy under Multiaxial Load, International Journal of Fatigue, 33 (2011) 1127–1139.

DOI: 10.1016/j.ijfatigue.2011.01.009

Google Scholar

[18] S. Kwon, K. Song, K. Shin, S. Kwun, Low Cycle Fatigue Properties and an Energy-based Approach for As-extruded AZ31 Magnesium Alloy, Metals and Materials International, 17 (2011) 207-213.

DOI: 10.1007/s12540-011-0404-9

Google Scholar

[19] S.H. Park, S.G. Hong, B.H. Lee, C.S. Lee, Fatigue Life Prediction of Rolled AZ31 Magnesium Alloy using an Energy-Based Model, International Journal of Modern Physics B, 22 (2008) 5503-5508.

DOI: 10.1142/s0217979208050723

Google Scholar

[20] Test Report for USAMP AMD904 Task 2. 0. 2 Cosma Tests, in, Cosma Engineering, (2012).

Google Scholar

[21] J. Al Bin Mousa, Multiaxial Fatigue Characterization and Modeling of AZ31B Magnesium Extrusion, in: Mechanical Engineering Department, University of Waterloo, (2011).

Google Scholar

[22] H.A. Patel, N. Rashidi, D.L. Chen, S.D. Bhole, A.A. Luo, Cyclic Deformation Behavior of a Super-Vacuum Die Cast Magnesium Alloy, Materials Science and Engineering: A, 546 (2012) 72-81.

DOI: 10.1016/j.msea.2012.03.028

Google Scholar

[23] USCAR – Phase 2: Method for Modeling and Analyzing Magnesium Joints, in, Cosma International, (2012).

Google Scholar