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Research Papers

Fracture Behaviors of Bulk Metallic Glasses Under Complex Tensile Loading

[+] Author and Article Information
Li Yu

State Key Laboratory of Nonlinear Mechanics,
Institute of Mechanics
Chinese Academy of Sciences,
Beijing 100190, China;
School of Engineering Sciences,
University of Chinese Academy of Sciences,
Beijing 100049, China
e-mail: yuli@imech.ac.cn

Tzu-Chiang Wang

State Key Laboratory of Nonlinear Mechanics,
Institute of Mechanics
Chinese Academy of Sciences,
Beijing 100190, China;
School of Engineering Sciences,
University of Chinese Academy of Sciences,
Beijing 100049, China
e-mail: tcwang@imech.ac.cn

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received August 28, 2017; final manuscript received October 25, 2017; published online November 13, 2017. Editor: Yonggang Huang.

J. Appl. Mech 85(1), 011003 (Nov 13, 2017) (6 pages) Paper No: JAM-17-1468; doi: 10.1115/1.4038286 History: Received August 28, 2017; Revised October 25, 2017

Up to now the theoretical analysis for fracture behaviors of bulk metallic glasses (BMGs) are limited to uniaxial loading. However, materials usually suffer complex stress conditions in engineering applications. Thus, to establish an analysis method that could describe fracture behaviors of BMGs under complex loading is rather important. In this paper, a universal formula for the fracture angle is proposed toward solving this problem. The ellipse criterion is used as an example to show how to predict fracture behaviors of BMGs subjected to complex loading according to this formula. In this case, both the fracture strength and fracture angle are found to be well consistent with experimental data.

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Figures

Grahic Jump Location
Fig. 1

Illustration of the critical fracture lines and critical Mohr circle of the M–C criterion and ellipse criterion in the case of tensile loading. The ellipse is tangent to the straight line at point B according to the uniaxial tensile experimental data. The τ0M−C, τ0Ellipse, σ0M-C, σ0Ellipse, θTM−C, and θTEllipse in the plot denote the critical shear fracture stresses, critical fracture normal stresses, and fracture angles predicted by the M–C criterion and ellipse criterion, respectively.

Grahic Jump Location
Fig. 2

The stress state and shear plane of cylindrical specimen: (a) the stress state and shear plane are shown and (b) the shear plane and fracture angle are shown in the x1-x2 plane

Grahic Jump Location
Fig. 3

The critical Mohr circles for different loading modes and the critical fracture lines of the ellipse criterion: (a) ρ=−0.5, (b) ρ=0, (c) ρ=ρcr, and (d) ρ=0.9

Grahic Jump Location
Fig. 4

The variation of fracture angle and critical stresses with respect to the proportionality coefficient ρ. (a) Variation of the fracture angle with the proportionality coefficient ρ. The points denote the fracture angle of the loading pattern shown in the Figs. 3(a)3(d). (b) The shear stress and normal stress on the fracture plane. The points denote the results of fracture stress while ρ=ρcr.

Grahic Jump Location
Fig. 5

Fracture behaviors of BMGs based on τM and σM: (a) variation of σM and τM with ρ and (b) τM versus σM. The points denote the results of fracture stress while ρ=ρcr.

Grahic Jump Location
Fig. 6

Variation of the shear fracture stress with respect to the normal stress acting on the fracture plane. The critical fracture lines of the two criteria as well as the tangent point B for Mohr's circle are plotted for comparisons.

Grahic Jump Location
Fig. 7

Comparisons between the theoretical calculation results and experimental points (a) fracture angle versus confining pressure, (b) axial fracture stress σ1 versus confining pressure, (c) shear stress on the fracture plane versus confining pressure, and (d) τM versus σM

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