Zhang Juan, Kang Guozheng, Rao Wei. REVIEW ON THE DEFORMATION BEHAVIOR AND CONSTITUTIVE EQUATIONS OF METALLIC GLASS MATRIX COMPOSITES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(2): 318-332. DOI: 10.6052/0459-1879-20-038
Citation:
Zhang Juan, Kang Guozheng, Rao Wei. REVIEW ON THE DEFORMATION BEHAVIOR AND CONSTITUTIVE EQUATIONS OF METALLIC GLASS MATRIX COMPOSITES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(2): 318-332. DOI: 10.6052/0459-1879-20-038
Zhang Juan, Kang Guozheng, Rao Wei. REVIEW ON THE DEFORMATION BEHAVIOR AND CONSTITUTIVE EQUATIONS OF METALLIC GLASS MATRIX COMPOSITES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(2): 318-332. DOI: 10.6052/0459-1879-20-038
Citation:
Zhang Juan, Kang Guozheng, Rao Wei. REVIEW ON THE DEFORMATION BEHAVIOR AND CONSTITUTIVE EQUATIONS OF METALLIC GLASS MATRIX COMPOSITES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(2): 318-332. DOI: 10.6052/0459-1879-20-038
* Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031,China
† Institute of Mechanics, Chinese Academy of Sciences,Beijing 100190,China
Metallic glass and metallic glass matrix composites have good application prospects because of their excellent mechanical properties, and now more and more researches have been conducting on them. The deformation behavior, toughening mechanism and constitutive relationship of metallic glass matrix composites are summarized and reviewed in this paper, based on the existing research results in literature by other groups and the latest work done by the authors. Firstly, the research progress in the deformation behavior, failure mechanism and constitutive relation of metallic glass in recent decades is briefly reviewed. Then, the state-of-the-arts in the deformation behavior and failure mechanism of metallic glass matrix composites are introduced from the aspects of experiments and numerical simulation, and the plastic deformation, toughening mechanism and their correspondent influencing factors of metallic glass matrix composites are summarized. Furthermore, the existing studies on the constitutive equations of metallic glass matrix composites are reviewed, with emphasis on the application of homogenization method in this field. In addition, a two-stepped homogenization method proposed by the authors is introduced in more details as a representative approach, and then the constitutive model established on the two-stepped homogenization method and with a help of a failure criterion obtained by introducing a concentration of nano-voids as an internal variable is addressed. The deformation and failure behavior of metallic glass matrix composites are predicted reasonably by the proposed constitutive model. Finally, the research progress of this field is briefly summarized, and some future topics are suggested.
( Hu Zhuangqi, Zhang Haifeng . Recent progress in the area of bulk armorphous alloys and composites. Acta Metallurgica Sinica, 2010,46(11):1391-1421 (in Chinese))
[5]
Choi-yim H, Busch R, Koester U , et al. Synthesis and characterization of particulate reinforced ZrNbAlCuNi bulk metallic composites. Acta Mater, 1999,47:2455-2462
[6]
Chen G, Cheng JL, Liu CT . Large-sized Zr-based bulk- metallic-glass composite with enhanced tensile properties. Intermetallics, 2012,28:25-33
[7]
Qiao JW, Sun AC, Huang EW , et al. Tensile deformation micro-mechanisms for bulk metallic glass matrix composites: From work-hardening to softening. Acta Mater., 2011,59:4126-4137
[8]
Qiao JW, Jia H, Liaw PK . Metallic glass matrix composites. Mater Sci Eng R, 2016,100:1-69
[9]
Kato H, Inoue A . Synthesis and mechanical properties of bulk amorphous Zr-Al-Ni-Cu alloys containing ZrC particles. Mater, Trans, 1997,38:793-800
[10]
Ma G, Zhang HF, Li H , et al. Wetting behavior of CuZr-based BMGs/alumina system. J Alloys and Compounds, 2008,462:343-346
[11]
Liu N, Ma G, Zhang HF , et al. Wetting behavior of Zr-based bulk metallic glasses on W substrate. Mater Lett, 2008,62:3195-3197
[12]
Li JB, Jang JSC, Li C , et al. Significant plasticity enhancement of Zr Cu-based bulk metallic glass composite dispersed by in situ and ex situ Ta particles. Mater Sci Eng A, 2012,551:249-254
[13]
Trexler MM, Thadhani NN . Mechanical properties of bulk metallic glasses. Progr Mater Sci, 2010,55:759-839
[14]
Wang WH . The elastic properties, elastic models and elastic perspectives of metallic glasses. Progress in Materials Science, 2012,57:487-656
[15]
Dai LH. Shear Banding in Bulk Metallic Glasses. In: Dodd B, Bai YL, eds. Adiabatic Shear Localization: Frontiers and Advances. Massachusetts: Elsevie, 2012. 311-361
[16]
蒋敏强 . 非晶合金塑性理论研究进展. 中国材料进展, 2014,33(5):257-264
[16]
( Jiang Minqing . Advances in plasticity theory for amorphous alloys. Materials China, 2014,33(5):257-264(in Chinese))
( Lei Xianqi, Wei Yujie . The strength and deformation behavior of metallic glasses. Chinese Journal of Solid Mechanics, 2016,37(4):312-339 (in Chinese))
[18]
Volkert CA, Donohue A, Spaepen F . Effect of sample size on deformation in amorphous metals. J Appl Phys, 2008,103:083539
[19]
Wu F, Zhang Z, Mao SX . Size-dependent shear fracture and global tensile plasticity of metallic glasses. Acta Mater, 2009,57:257-266
[20]
Jang D, Greer JR . Transition from a strong-yet-brittle to a stronger-and-ductile state by size reduction of metallic glasses. Nature Mater, 2010,9:215-219
[21]
Chen D, Jang D, Guan KM , et al. Nanometallic glasses: size reduction brings ductility, surface state drives its extent. Nano Lett, 2013,13:4462-4468
[22]
Polk DE, Turnbull D . Flow of melt and glass forms of metallic alloys. Acta Metall, 1972,20:493-498
[23]
Pampillo CA . Localized shear deformation in a glassy metal. Scripta Metall, 1972,6:915-917
[24]
Chen HS, Leamy HJ, Obrien MJ . Bending deformation in metallic glasses. Scripta Metall, 1973,7:415-419
[25]
Greer AL, Cheng YQ, Ma E . Shear bands in metallic glasses. Mater Sci Eng R, 2013,74(4):71-132
[26]
Schuster BE, Wei Q, Ervin MH , et al. Bulk and microscale compressive properties of a Pd-based metallic glass. Scripta Mater, 2007,57:517-520
[27]
Pampillo CA, Chen HS . Comprehensive plastic deformation of a bulk metallic glass. Mater Sci Eng A, 1974,13:181-188
[28]
Wright WJ, Schwarz RB, Nix WD . Localized heating during serrated plastic flow in bulk metallic glasses. Mater Sci Eng A, 2001, 319-321:229-232
[29]
Jiang WH, Atzmon M . The effect of compression and tension on shear-band structure and nanocrystallization in amorphous Al90Fe5Gd5: A high-resolution transmission electron microscopy study. Acta Mater, 2003,51:4095-4105
[30]
Jiang MQ, Ling Z, Meng JX , et al. Energy dissipation in fracture of bulk metallic glasses via inherent competition between local softening and quasi-cleavage. Phil Mag, 2008,88:407-426
[31]
Sun BA, Wang WH . The fracture of bulk metallic glasses. Prog Mater Sci, 2015,74:211-307
[32]
Spaepen F . A microscopic mechanism for steady state inhomogeneous flow in metallic glasses. Acta Metall, 1977,25:407-415
[33]
Johnson WL, Lu J, Demetriou MD . Deformation and flow in bulk metallic glasses and deeply undercooled glass forming liquids-A selfconsistent dynamic free volume model. Intermetallics, 2002,10:1039-1046
[34]
Anand L, Su C . A theory for amorphous viscoplastic materials undergoing finite deformations, with application to metallic glasses. J Mech Phys Solids, 2005,53:1362-1396
[35]
Yang Q, Mota A, Ortiz M . A Finite-deformation constitutive model of bulk metallic glass plasticity. Comput Mech, 2006,37:194-204
[36]
Gao YF, Yang B, Nieh TG . Thermomechanical instability analysis of inhomogeneous deformation in amorphous alloys. Acta Mater, 2007,55:2319-2327
[37]
Thamburaja P, Ekambaram R . Coupled thermo-mechanical modelling of bulk-metallic glasses: Theory, finite-element simulations and experimental verification. J Mech Phys Solids, 2007,55:1236-1273
[38]
Huang R, Suo Z, Prevost JH , et al. Inhomogeneous deformation in metallic glasses. J Mech Phys Solids, 2002,50:1011-1127
[39]
Jiang MQ, Dai LH . On the origin of shear banding instability in metallic glasses. J Mech Phys Solids, 2009,57:1267-1292
[40]
Thamburaja P . Length scale effects on the shear localization process in metallic glasses: A theoretical and computational study. J Mech Phys Solids, 2011,59:1552-1575
[41]
Rao W, Zhang J, Kang GZ . A failure mechanism based constitutive model for bulk metallic glass. Mech Mater, 2018,125:52-69
[42]
Argon AS . Plastic deformation in metallic glasses. Acta Metall, 1979,27:47-58
[43]
Eshelby JD . The Determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc Roy Soc London A, 1957,241:376-396
[44]
Spaepen F. Defects in amorphous metals//Balian R, Kleman M, Poirier J. Physics of Defects. Amsterdam: North-Hollan Press, 1981: 133-174
[45]
Schall P, Weitz DA, Spaepen F . Structural rearrangements that govern flow in colloidal glasses. Science, 2007,318:1895-1899
[46]
Jiang MQ, Ling Z, Meng JX , et al. Energy dissipation in fracture of bulk metallic glasses via inherent competition between local softening and quasi-cleavage. Phil Mag, 2008,88:407-426
[47]
Falk ML, Langer JS . Dynamics of viscoplastic deformation in amorphous solids. Phys Rev E, 1998,57:7192-7205
[48]
Malandro DL, Lacks DJ . Relationships of shear-induced changes in the potential energy landscape to the mechanical properties of ductile glasses. J Chem Phys, 1999,110:4593-4601
[49]
Langer JS . Dynamics of shear-transformation zones in amorphous plasticity: Formulation in terms of an effective disorder temperature. Phys Rev E, 2004,70:041502
[50]
Demetriou MD, Harmon JS, Tao M , et al. Cooperative shear model for the rheology of glass-forming metallic liquids. Phys Rev Lett , 2006,97:065502
[51]
Jiao W, Sun BA, Wen P , et al. Crossover from stochastic activation to cooperative motions of shear transformation zones in metallic glasses. Appl Phys Lett, 2013,103:081904
[52]
Zhu Z, Wen P, Wang DP , et al. Characterization of flow units in metallic glass through structural relaxations. J Appl Phys, 2013,114:083512
[53]
王铮, 汪卫华 . 非晶合金中的流变单元. 物理学报, 2017,66(17):176103 (in Chinese))
[53]
( Wang Zheng, Wang Weihua . Flow unit model in metallic glasses. Acta Phys Sin, 2017,66(17):176103 (in Chinese))
( Wang Weihua . Flow units: the "defects" of amorphous alloys. Scientia Sinica: Physica, Mechanica & Astronomica, 2014,44(4):396-405 (in Chinese))
[55]
Choi-yim H, Busch R, Koester U , et al. Synthesis and characterization of particulate reinforced ZrNbAlCuNi bulk metallic composites. Acta Mater, 1999,47:2455-2462
[56]
Chen G, Cheng JL, Liu CT . Large-sized Zr-based bulk-metallic-glass composite with enhanced tensile properties. Intermetallics, 2012,28:25-33
[57]
Qiao JW, Sun AC, Huang EW , et al. Tensile deformation micromechanisms for bulk metallic glass matrix composites: From work-hardening to softening. Acta Mater, 2011,59:4126-4137
[58]
Inoue A, Zhang W, Tsurui T , et al. Unusual room- temperature compressive plasticity in nanocrystal-toughened bulk copper-zirconium glass. Phil Mag Lett, 2005,85:221-229
[59]
Szuecs F, Kim CP, Johnson WL . Mechanical properties of ZrTiNbCuNiBe ductile phase reinforced bulk metallic glasses composite. Acta Mater, 2001,49:1507-1513
[60]
Li JB, Zhang HZ, Jang JSC , et al. Viscous flow and thermoplastic forming ability of a Zr-based bulk metallic glass composite with Ta dispersoids. J Alloys and Compounds, 2012,536S:S165-S170
[61]
Conner RD, Choi-Yim H, Johnson WL . Mechanical properties of ZrNbAlCuNi metallic glass matrix particulate composites. J Mater Res, 1999,14:3292-3297
[62]
Qiu KQ, Wang AM, Zhang HF , et al. Mechanical properties of tungsten fiber reinforced ZrAlNiCuSi metallic glass matrix composite. Intermetallics, 2002,10:1283-1288
[63]
Dong W, Zhang H, Sun WS , et al. Zr-Cu-Ni-Al-Ta glassy matrix composites with enhanced plasticity. J Mater Res, 2006,21:1490-1499
Jang JSC, Li TH, Tsai PH , et al. Critical obstacle size to deflect shear banding in Zr-based bulk metallic glass composites. Intermetallics, 2015,64:102-105
[66]
Lee JC, Kim YC, Ahn JP , et al. Enhanced plasticity in a bulk amorphous matrix composite: Macroscopic and microscopic viewpoint studies. Acta Mater, 2005,53:129-139
[67]
Hofmann DC, Suh JY, Wiest A , et al. Designing metallic glass matrix composites with high toughness and tensile ductility. Nature, 2008,451:1085-1089
[68]
Jang JSC, Jian SR, Li TH , et al. Structural and mechanical characterizations of ductile Fe particles-reinforced Mg-based bulk metallic glass composites. J Alloys and Compounds, 2009,485:290-294
[69]
Jang JSC, Ciou JY, Li TH , et al. Dispersion toughening of Mg-based bulk metallic glass reinforced with porous Mo particles. Intermetallics, 2010,18:451-458
[70]
Pauly S, Gorantla S, Wang G , et al. Transformation-mediated ductility in CuZr-based bulk metallic glasses. Nature Mater, 2010,9:473-477
[71]
Song K, Pauly S, Sun BA , et al. Correlation between the microstructures and the deformation mechanisms of CuZr-based bulk metallic glass composites. AIP Advances, 2013,3:012116
[72]
Brink T, Peterlechner M, R?sner H , et al. Influence of crystalline nanoprecipitates on shear-band propagation in Cu-Zr-based metallic glasses. Phys Rev Appl, 2016,5:054005
Lee SW, Huh MY, Fleury E , et al. Crystallization-induced plasticity of Cu-Zr containing bulk amorphous alloys. Acta Mater, 2006,54:349-355
[75]
Song G, Lee C, Hong SH , et al. Martensitic transformation in a B2-containing CuZr-based BMG composite revealed by in situ neutron diffraction. J Alloys and Compounds, 2017,72:714-721
[76]
Liu Y, Yao H, Zhang T , et al. Designing ductile CuZr-based metallic glass matrix composites. Mater Sci Eng A, 2017,682:542-549
[77]
Zhou H, Qu S, Yang W . An atomistic investigation of structural evolution in metallic glass matrix composites. Int J Plast, 2013,44:147-160
[78]
Avchaciov K, Ritter Y, Djurabekova F , et al. Controlled softening of Cu64Zr36 metallic glass by ion irradiation. Appl Phys Lett, 2013,102:181910
[79]
Sopu D, Stoica M, Eckert J . Deformation behavior of metallic glass composites reinforced with shape memory nanowires studied via molecular dynamics simulations. Appl Phys Lett, 2015,106:211902
[80]
Brandl C, Germann TC, Misra A . Structure and shear deformation of metallic crystalline-amorphous interfaces. Acta Mater, 2013,61:3600-3611
[81]
Gao X, Muser MH, Kong LT , et al. Atomic structure and energetics of amorphous-crystalline CuZr interfaces: A molecular dynamics study. Modell Simul Mater Sci Eng, 2014,22:065007
[82]
Shi Y, Falk ML . A computational analysis of the deformation mechanisms of a nanocrystal-metallic glass composite. Acta Mater, 2008,56:995-1000
[83]
Cheng B, Trelewicz JR . Mechanistic coupling of dislocation and shear transformation zone plasticity in crystalline-amorphous nanolaminates. Acta Mater, 2016,117:293-305
[84]
Jiang Y, Qiu K . Computational micromechanics analysis of toughening mechanisms of particle-reinforced bulk metallic glass composites. Mater Des, 2015,65:410-416
[85]
Jiang Y, Shi X, Qiu K . Numerical study of shear banding evolution in bulk metallic glass composites. Mater Des, 2015,77:32-40
[86]
Shete MK, Singh I, Narasimhan R , et al. Effect of strain hardening and volume fraction of crystalline phase on strength and ductility of bulk metallic glass composites. Scripta Mater, 2016,124:51-55
[87]
Shete MK, Dutta T, Singh I , et al. Tensile stress-strain response of metallic glass matrix composites reinforced with crystalline dendrites: Role of dendrite morphology. Intermetallics, 2017,83:70-82
[88]
Jiang Y, Sun L, Wu Q , et al. Enhanced tensile ductility of metallic glass matrix composites with novel microstructure. J Non-crystalline Solids, 2017,459:26-31
[89]
Fan J, Qiao JW, Wang Z , et al. Twinning-induced plasticity (TWIP) and work hardening in Ti-based metallic glass matrix composites. Sci Rep, 2017,7:1877
[90]
Zhang X, Ren J, Ding X . Synergistic effects among the structure, martensite transformation and shear band in a shape memory alloy-metallic glass composite. Appl Comp Mater, 2019,26:455-467
[91]
Chu Z, Yuan G, Kato H , et al. The study on interface and property of TiNb/Zr-based metallic glassy composite fabricated by SPS. J Non-crystalline Solids, 2015,426:83-87
[92]
Jeon C, Lee H, Kim CP , et al. Effects of effective dendrite size on tensile deformation behavior in Ti-based dendrite-containing amorphous matrix composites modified from Ti-6Al-4V alloy. Metall Mater Trans A, 2015,46:235-250
[93]
Rao W, Zhang J, Kang GZ , et al. Numerical simulation on the deformation behaviors of bulk metallic glass composites under uniaxial tension and compression. Comp Struct, 2018,187:411-428
[94]
Marandi K, Shim VPW . A finite-deformation constitutive model for bulk metallic glass composites. Contin Mech Therm, 2014,26:321-341
[95]
Jiang Y . Micromechanics constitutive model for predicting the stress-strain relations of particle toughened bulk metallic glass matrix composites. Intermetallics, 2017,90:147-151.
[96]
Weng GJ . The overall elastoplastic stress-strain relations of dual-phase metals. J Mech Phys Solids, 1990,38:419-441
[97]
Jiang Y . Mesoscopic constitutive model for predicting failure of bulk metallic glass composites based on the free-volume model. Materials, 2018,11:327
[98]
Rao W, Zhang J, Kang GZ , et al. A meso-mechanical constitutive model for the bulk metallic glass composites with considering the local failure of matrix. Int J Plast, 2019,115:238-267
[99]
Qiao JW, Zhang T, Yang FQ , et al. A tensile deformation model for in-situ dendrite/metallic glass matrix composites. Sci Rep, 2013,3:2816
[100]
Xia SH, Wang JT . A micromechanical model of toughening behavior in the dual-phase composite. Int J Plast, 2010,26:1442-1460