ORIGIN OF HEAT EFFECTS AND SHEAR MODULUS CHANGES OF A Cu-BASED AMORPHOUS ALLOY 1)

doi:10.6052/0459-1879-20-233

Abstract

Abstract:

Shear modulus is one of important parameters to control the viscous flow, diffusion and structural relaxation of amorphous alloy. Macroscopic shear elasticity determines the change of heat flow. The correlation between the mechanical properties and the heat flow during the structural relaxation and glass transition is one of the important issues to understand the origin of mechanical properties of amorphous alloy. In the framework of the interstitialcy theory, the shear modulus, heat flow and viscosity of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy were used to probe the correlation between shear modulus and heat flow. In parallel, evolution of interstitialcy defects concentration was determined by shear modulus in initial and relaxed states. From the perspective of energy, the influence of interstitialcy defects concentration on the thermodynamic properties of amorphous alloy was investigated by activation energy spectrum (AES). Dynamic mechanical analysis (DMA) was used to investigate the dynamic mechanical process of the Cu$_{49}$Hf$_{42}$Al$_{9 }$ amorphous alloy. Structural relaxation induced by physical aging and the evolution of internal friction in-situ annealing was discussed. The results demonstrated that interstitialcy theory could accurately describe the relaxation kinetics, shear softening and other phenomena induced by structural relaxation of amorphous alloy. Temperature dependence of the shear modulus in initial and relaxed states can be well predicted by the data of differential scanning calorimetry (DSC). Activation energy spectrum directly reflects the interstitialcy defects concentration, which can be activated per unit activation energy. Structural relaxation leads to a reduction of the defect concentration, which indicates the structure transforms to a more stable state. During the glass transition process, defect concentration rapidly increases, which corresponds to the shear softening accompanied by heat absorption. Structural relaxation induces decrease of both internal friction and atomic mobility of amorphous alloy. However, the atomic mobility is high enough to eliminate the influence of structural relaxation on defect concentration in the supercooled liquid region.

Key words: amorphous alloy, heat flow, shear modulus, structural relaxation, interstitialcy defects, microstructure heterogeneity

CLC Number:

Zhang Langting, Vitaly A Khonik, Qiao Jichao. ORIGIN OF HEAT EFFECTS AND SHEAR MODULUS CHANGES OF A Cu-BASED AMORPHOUS ALLOY ¹⁾[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1709-1718.

Figures/Tables 10

Fig. 1 XRD pattern of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy

Fig. 2 (a) DSC traces of the initial state (Run 1), relaxed state (Run 2) and after the full crystallization (Run 3), the calculation and experimental data of the initial (b) and relaxad state (c) heat flow curves of the Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy

Fig. 3 Experimental and calculated using Eq.(5) temperature dependences of shear moduli of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy in the initial and relaxed state. Temperature dependence of shear modulus in the crystalline state is also shown

Fig. 4 (a) Temperature dependence of the shear viscosity of Cu$_{49}$Hf$_{42}$Al$_{9 }$ amorphous alloy; (b) Temperature dependence of the activation energy and shear modulus of relaxed state

Fig. 5 (a) Temperature dependence of the defects concentration in initial and relaxed state of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy; (b) temperature dependence of the derivative ln d$C$/d$T$

Fig. 6 The energy spectrum of the defect concentration per unit activation energy interval of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy

Fig. 7 Temperature dependence of the normalized storage modulus $E'/Eu$ and loss modulus $E"/Eu$ of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy. Eu assumes as the value of storage modulus at ambient temperature

Fig. 8 Annealing time dependence of the normalized storage modulus, loss modulus and loss factor tan $\delta $ of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy at $T_{a} =663$ K. The internal fraction tan $\delta $ was fitted by Eq.(11)

Fig. 9 (a) Time dependence of the loss factor tan$\delta $ of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy at different annealing temperatures; (b) Comparison of evolution of internal friction with temperature of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy at different states

Fig. 10 Temperature dependence of the normalized storage modulus for the initial, relaxed and full crystalline state of Cu$_{49}$Hf$_{42}$Al$_{9}$ amorphous alloy. The inset shows loss factor tan$\delta $ dependence of temperature

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ORIGIN OF HEAT EFFECTS AND SHEAR MODULUS CHANGES OF A Cu-BASED AMORPHOUS ALLOY ¹⁾

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