Hydrostatic Pressure Effect on Metallic Glasses: Finite Deformation Theory

Zhukun Zhou, Hao Wang, Mo Li
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Abstract

Metallic glass does not have well-defined atomic planes and the related dislocation motion during plastic deformation. The atomic displacement during deformation instead contains a large degree of randomness, which necessarily leads to volume change. However, how the volume change contributes to the mechanisms of mechanical deformation, especially the pressure sensitivity of yielding and fracture strength remains unclear. Although volume dilatation has been observed in various mechanical deformation, experimental investigation so far shows negligible pressure effect on yield and fracture strength. Here using finite deformation theory, we give a theoretical analysis of the pressure effect on metallic glasses subject to pure shear in the presence of a large range of applied hydrostatic pressure. We found that shear deformation does couple to applied pressure as manifested through the dependence of shear strength on applied hydrostatic pressure. We argue that the strong tendency of deformation localization and the omnipresent sample imperfections unique for amorphous solids may cause the discrepancy between the theoretical and experimental results.
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金属玻璃的静水压力效应:有限变形理论
金属玻璃在塑性变形过程中没有明确的原子面和相应的位错运动。相反,变形过程中的原子位移包含很大程度的随机性,这必然导致体积变化。然而,体积变化对力学变形的影响机制,特别是屈服强度和断裂强度的压力敏感性,目前尚不清楚。虽然在各种力学变形中都观察到体积膨胀,但迄今为止的实验研究表明,压力对屈服和断裂强度的影响可以忽略不计。本文运用有限变形理论,从理论上分析了在大范围静水压力作用下金属玻璃在纯剪切作用下的压力效应。我们发现剪切变形确实与施加的压力耦合,这体现在剪切强度对施加静水压力的依赖上。我们认为,非晶态固体的形变局部化倾向和无所不在的试样缺陷可能导致理论和实验结果的差异。
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