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Modeling inelastic behavior of magnesium alloys during cyclic
International Journal of Plasticity 47 (2013) 49–64Contents lists available at SciVerse ScienceDirect
International Journal of Plasticity
journal homepage: www.elsevier .com/locate / i jp lasModeling inelastic behavior of magnesium alloys during cyclic
loading–unloading0749-6419/$ - see front matter Published by Elsevier Ltd.
/10.1016/j.ijplas.2013.01.007
? Corresponding author. Tel.: +1 (505) 667 1238.
E-mail addresses: wangj6@, wangj6@ (J. Wang).H. Wang a, P.D. Wu a, J. Wang b,?
aDepartment of Mechanical Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4L7
bMaterials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USAa r t i c l e i n f o
Article history:
Received 13 October 2012
Received in final revised form 7 December
2012
Available online 26 January 2013
Keywords:
Inelasticity
B. Cyclic loading
A. Twinning
B. Crystal plasticity
Magnesiuma b s t r a c t
The inelastic behavior presenting in magnesium alloys during cyclic loading–unloading
have been investigated through the finite strain elastic viscoplastic self-consistent (EVPSC)
model for polycrystals (EVPSC-TDT), which has been updated by implementing the twin-
ning and de-twinning (TDT) model. Corresponding to the existing experiments of extruded
bars of Mg alloys, we constructed the extruded bars of magnesium alloys with different ini-
tial textures in our simulations to study the effects of initial textures and deformation pro-
cesses (tension and compression) on inelastic behavior during cyclic loading and
unloading. Taking the advantage of numerical modeling, the evolution of the instantaneous
gradients, the activity of the deformation mechanisms and the evolution of twin volume
fraction are characterized to interpret the inelastic behavior. We found that the alternation
of deformation mechanisms corresponds to the inelastic behavior; in particular, the inelas-
tic behavior becomes more pronounced when twinning and de-twinning are activated.
Thus, a s
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