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.

References

1.
Klement
,
W.
,
Willens
,
R. H.
, and
Duwez
,
P. O. L.
,
1960
, “
Non-Crystalline Structure in Solidified Gold-Silicon Alloys
,”
Nature
,
187
(
4740
), pp.
869
870
.
2.
Johnson
,
W. L.
,
1986
, “
Thermodynamic and Kinetic Aspects of the Crystal to Glass Transformation in Metallic Materials
,”
Prog. Mater. Sci.
,
30
(
2
), pp.
81
134
.
3.
Greer
,
A. L.
,
1995
, “
Metallic Glasses
,”
Science
,
267
(
5206
), pp.
1947
1953
.
4.
Inoue
,
A.
,
2000
, “
Stabilization of Metallic Supercooled Liquid and Bulk Amorphous Alloys
,”
Acta Mater.
,
48
(
1
), pp.
279
306
.
5.
Steif
,
P. S.
,
Spaepen
,
F.
, and
Hutchinson
,
J. W.
,
1982
, “
Strain Localization in Amorphous Metals
,”
Acta Metall.
,
30
(
2
), pp.
447
455
.
6.
Chen
,
H.
,
He
,
Y.
,
Shiflet
,
G. J.
, and
Poon
,
S. J.
,
1994
, “
Deformation-Induced Nanocrystal Formation in Shear Bands of Amorphous Alloys
,”
Nature
,
367
(
6463
), pp.
541
543
.
7.
Hays
,
C. C.
,
Kim
,
C. P.
, and
Johnson
,
W. L.
,
2000
, “
Microstructure Controlled Shear Band Pattern Formation and Enhanced Plasticity of Bulk Metallic Glasses Containing In Situ Formed Ductile Phase Dendrite Dispersions
,”
Phys. Rev. Lett.
,
84
(
13
), pp.
2901
2904
.
8.
Xing
,
L. Q.
,
Li
,
Y.
,
Ramesh
,
K. T.
,
Li
,
J.
, and
Hufnagel
,
T. C.
,
2001
, “
Enhanced Plastic Strain in Zr-Based Bulk Amorphous Alloys
,”
Phys. Rev. B
,
64
(
18
), p.
180201
.
9.
Schuh
,
C. A.
,
Hufnagel
,
T. C.
, and
Ramamurty
,
U.
,
2007
, “
Mechanical Behavior of Amorphous Alloys
,”
Acta Mater.
,
55
(
12
), pp.
4067
4109
.
10.
Flores
,
K. M.
, and
Dauskardt
,
R. H.
,
1999
, “
Local Heating Associated With Crack Tip Plasticity in Zr–Ti–Ni–Cu–Be Bulk Amorphous Metals
,”
J. Mater. Res.
,
14
(
3
), pp.
638
643
.
11.
Donovan
,
P. E.
,
1988
, “
Compressive Deformation of Amorphous Pd40Ni40P20
,”
Mater. Sci. Eng.
,
98
, pp.
487
490
.
12.
Liu
,
C. T.
,
Heatherly
,
L.
,
Horton
,
J. A.
,
Easton
,
D. S.
,
Carmichael
,
C. A.
,
Wright
,
J. L.
,
Schneibel
,
J. H.
,
Yoo
,
M. H.
,
Chen
,
C. H.
, and
Inoue
,
A.
,
1998
, “
Test Environments and Mechanical Properties of Zr-Base Bulk Amorphous Alloys
,”
Metall. Mater. Trans. A
,
29
(
7
), pp.
1811
1820
.
13.
Zhang
,
Z. F.
,
He
,
G.
,
Eckert
,
J.
, and
Schultz
,
L.
,
2003
, “
Fracture Mechanisms in Bulk Metallic Glassy Materials
,”
Phys. Rev. Lett.
,
91
(
4
), p.
045505
.
14.
Flores
,
K. M.
, and
Dauskardt
,
R. H.
,
2001
, “
Mean Stress Effects on Flow Localization and Failure in a Bulk Metallic Glass
,”
Acta Mater.
,
49
(
13
), pp.
2527
2537
.
15.
Mukai
,
T.
,
Nieh
,
T. G.
,
Kawamura
,
Y.
,
Inoue
,
A.
, and
Higashi
,
K.
,
2002
, “
Effect of Strain Rate on Compressive Behavior of a Pd40Ni40P20 Bulk Metallic Glass
,”
Intermetallics
,
10
(
11
), pp.
1071
1077
.
16.
Caris
,
J.
, and
Lewandowski
,
J. J.
,
2010
, “
Pressure Effects on Metallic Glasses
,”
Acta Mater.
,
58
(
3
), pp.
1026
1036
.
17.
Yu
,
M.-H.
,
2002
, “
Advances in Strength Theories for Materials Under Complex Stress State in the 20th Century
,”
ASME Appl. Mech. Rev.
,
55
(
3
), pp.
169
218
.
18.
Irgens
,
F.
,
2008
,
Continuum Mechanics
,
Springer Science & Business Media
,
Berlin
.
19.
Zhang
,
Z. F.
, and
Eckert
,
J.
,
2005
, “
Unified Tensile Fracture Criterion
,”
Phys. Rev. Lett.
,
94
(
9
), p.
094301
.
20.
Chen
,
C.
,
Gao
,
M.
,
Wang
,
C.
,
Wang
,
W.-H.
, and
Wang
,
T.-C.
,
2016
, “
Fracture Behaviors Under Pure Shear Loading Bulk Metallic Glasses
,”
Sci. Rep.
,
6
, p.
39522
.
21.
Qu
,
R.
,
Eckert
,
J.
, and
Zhang
,
Z.
,
2011
, “
Tensile Fracture Criterion of Metallic Glass
,”
J. Appl. Phys.
,
109
(
8
), p.
083544
.
22.
Lowhaphandu
,
P.
,
Montgomery
,
S.
, and
Lewandowski
,
J. J.
,
1999
, “
Effects of Superimposed Hydrostatic Pressure on Flow and Fracture of a Zr–Ti–Ni–Cu–Be Bulk Amorphous Alloy
,”
Scr. Mater.
,
41
(
1
), pp.
19
24
.
23.
Lewandowski
,
J. J.
, and
Lowhaphandu
,
P.
,
2002
, “
Effects of Hydrostatic Pressure on the Flow and Fracture of a Bulk Amorphous Metal
,”
Philos. Mag. A
,
82
(
17–18
), pp.
3427
3441
.
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