TY - JOUR
T1 - A new constitutive model for shear banding instability in metallic glass
AU - Ruan, H. H.
AU - Zhang, L. C.
AU - Lu, J.
PY - 2011/10/15
Y1 - 2011/10/15
N2 - Inelastic deformation of metallic glass is through shear banding, characterized by significantly localized deformation and emerged expeditiously under certain stress state. This study establishes a new constitutive model addressing the physical origin of the shear banding. In the modeling, the atomic structural change and the free volume generation are embodied by the plastic shear strain and the associated dilatation. The rugged free energy landscape is adopted to naturally reflect the rate-independent flow stress and flow serrations. Based on this, the conditions for the onset of shear banding instability are established, which enables the explicit calculation of the shear band inclination angle and its extension speed. The study concludes that shear band angle is significantly influenced by the diltancy factor and pressure sensitivity, that a shear band does not increase its thickness once emanated from a deformation unit, that the spreading speed of a shear band is intersonic, and that more shear bands, which lead to higher ductility, can be induced by high strain rates or by the introduction of a second material phase. The analysis also demonstrates that the ductility of metallic glass depends on the sample geometry and/or the stress state. © 2011 Elsevier Ltd. All rights reserved.
AB - Inelastic deformation of metallic glass is through shear banding, characterized by significantly localized deformation and emerged expeditiously under certain stress state. This study establishes a new constitutive model addressing the physical origin of the shear banding. In the modeling, the atomic structural change and the free volume generation are embodied by the plastic shear strain and the associated dilatation. The rugged free energy landscape is adopted to naturally reflect the rate-independent flow stress and flow serrations. Based on this, the conditions for the onset of shear banding instability are established, which enables the explicit calculation of the shear band inclination angle and its extension speed. The study concludes that shear band angle is significantly influenced by the diltancy factor and pressure sensitivity, that a shear band does not increase its thickness once emanated from a deformation unit, that the spreading speed of a shear band is intersonic, and that more shear bands, which lead to higher ductility, can be induced by high strain rates or by the introduction of a second material phase. The analysis also demonstrates that the ductility of metallic glass depends on the sample geometry and/or the stress state. © 2011 Elsevier Ltd. All rights reserved.
KW - Bifurcation
KW - Constitutive relation
KW - Flow serration
KW - Instability
KW - Metallic glass
KW - Shear band
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U2 - 10.1016/j.ijsolstr.2011.07.004
DO - 10.1016/j.ijsolstr.2011.07.004
M3 - RGC 21 - Publication in refereed journal
SN - 0020-7683
VL - 48
SP - 3112
EP - 3127
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 21
ER -