ADVANCES IN FRACTURE BEHAVIOR AND STRENGTH THEORY OF METALLIC GLASSES

doi:10.11900/0412.1961.2016.00348

Acta Metall Sin

2016, Vol. 52

Issue (10): 1171-1182 DOI: 10.11900/0412.1961.2016.00348

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ADVANCES IN FRACTURE BEHAVIOR AND STRENGTH THEORY OF METALLIC GLASSES

Zhefeng ZHANG,Ruitao QU,Zengqian LIU

Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China

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Zhefeng ZHANG, Ruitao QU, Zengqian LIU. ADVANCES IN FRACTURE BEHAVIOR AND STRENGTH THEORY OF METALLIC GLASSES. Acta Metall Sin, 2016, 52(10): 1171-1182.

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Abstract

Owing to the unique amorphous structure, metallic glasses (MGs) exhibit quite distinctive deformation and fracture behaviors from the conventional crystalline materials. The high strength, brittleness and macroscopic homogenous and isotropic structural features make MGs ideal model materials for the investigations of the strength theory of high-strength materials. Hence the fracture behavior and strength theory of MGs have attracted very extensive interests of researchers from the fields of materials, mechanics and physics. This paper is based on the research works of the authors on the fracture and strength of MGs in the past decade, and concentrates on discussing the current knowledge and recent advances on the fracture behavior and strength theory of ductile and brittle MGs. Firstly, the fracture behaviors of ductile and brittle MGs including tension-compression strength asymmetry, fracture mechanism and ductile-to-brittle transition will be briefly elaborated. Then the strength theories of MGs will be discussed, with our emphasis on the foundation, validation, further development and application of the ellipse criterion. At last, some unsolved issues associated with the fracture and strength of MGs are proposed.

Key words: metallic glass yielding fracture deformation strength theory

Received: 02 August 2016

Fund: Supported by National Natural Science Foundation of China (Nos.51331007, 51301174 and 51501190)

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https://www.ams.org.cn/EN/10.11900/0412.1961.2016.00348 OR https://www.ams.org.cn/EN/Y2016/V52/I10/1171

Fig.1 Typical tensile and compressive stress-strain curves of a ductile metallic glass (MG)^[34]

Fig.2 Typical tensile (a, c) and compressive (b, d) shear fracture morphologies (a, b) and fracture surface patterns (c, d) of ductile MGs^[37] (σ_A—applied axial stress, θ_T—tensile shear fracture angle, θ_C—compressive shear fracture angle)

Fig.3 Typical tensile and compressive fracture morphologies of brittle MGs^[30,37,68]
(a) tensile normal fracture morphology
(b~d) macroscopic and microscopic fracture morphologies of compressive fragmentation and nanoscale periodic corrugation (λ and λ_B represent the local wave length and the average wave length of the periodic corrugation in the region B in Fig.3c, respectively)

Fig.4 Ductile-to-brittle transition of MGs and its explanation^[80]
(a) variation of the fracture toughness as a function of Poisson ratio ν among different alloy systems of MGs (ν_cri—critical Poisson ratio for the ductile-to-brittle transition of MGs, ν_e/2 and ν_e represent the characteristic Poisson ratios that define the shearing behavior of MGs to be crack-like shearing, common shearing and slip-like shearing)
(b) variations of the reduced thermodynamic driving force U_D/U_V and resistance W_D/W_V of shearing versus cracking as a function of ν

Fig.5 Several cases for predicting the shear fracture behaviors of MG by the Mohr-Coulomb criterion^[95]
(a) conventional case, i.e., coefficient of internal friction μ and critical shear serength τ₀ are constant for all stress state (τ and σ are the shear stress and normal stress acted on shear plane, respectively; σCFand σTFare compressive and tensile fracture strength, respectively)
(b) different μ for tension and compression to achieve the correct predictions of shear fracture angles (θ_C and θ_T)
(c) different μ and τ₀ for tension and compression to achieve the correct predictions of both the shear fracture angles and the fracture strength (τ0T and τ0C are the critical shear stresses that derived from tensile and compressive fracture strength and fracture angles according to the Mohr-Coulomb criterion, respectively)
(d) plot of the Mohr-Coulomb criterion and the Mohr's circle with shear strength of τ₀
(e) modified parameter of critical shear strength τ0M-C in the criterion to achieve the correct predictions of pure shear strength of τ₀

Fig.6 Three different cases for predicting the tensile fracture behaviors of materials by the ellipse criterion^[89](σ₀—critical stress for normal fracture, σ_T—tensile fracture strength)(a)θT≈45° (b)45°<θT<90° (c)θT=90°

Fig.7 Variation of the nominal fracture stress as a function of fracture angles and the predictions by the two criteria^[34] (Inset images are typical appearences of the inclined notch tensile samples with different notch angles)

Fig.8 Effect of normal stress on the shear fracture of Vit-105 MG and the predictions by the two criteria^[34] (Inset figure illustrates the sample gemoemetry, with F and θ_N representing the applied force and notch angle, respectively)

Fig.9 Prediction of the tensile fracture of MG as a result of shear versus cleavage by the energy criterion^[98] (E_s0 and E_c0 are the critical shear energy density and the critical cleavage energy density, respectively)

Fig.10 Critical yield/fracture loci predicted by the universal criterion in the normal-shear stress space^[95]

Fig.11 Yield surface of the universal criterion in the two dimensional stress space and comparisons with simulated (a) and experimental (b) results of MGs (E is the Young's modulus, α is the fracture mode factor, β_C is the extrinsic parameter under compressive stress state)

Fig.12 Prediction on the fracture behavior of MG based on the elastic constants and the universal criterion^[41] (σ_C—compressive fracture strength)

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