Revisiting the Dependence of Poisson’s Ratio on Liquid Fragility and Atomic Packing Density in Oxide Glasses

Abstract

Poisson’s ratio (ν) defines a material’s propensity to laterally expand upon compression, or laterally shrink upon tension for non-auxetic materials. This fundamental metric has traditionally, in some fields, been assumed to be a material-independent constant, but it is clear that it varies with composition across glasses, ceramics, metals, and polymers. The intrinsically elastic metric has also been suggested to control a range of properties, even beyond the linear-elastic regime. Notably, metallic glasses show a striking brittle-to-ductile (BTD) transition for ν-values above ~0.32. The BTD transition has also been suggested to be valid for oxide glasses, but, unfortunately, direct prediction of Poisson’s ratio from chemical composition remains challenging. With the long-term goal to discover such high-ν oxide glasses, we here revisit whether previously proposed relationships between Poisson’s ratio and liquid fragility (m) and atomic packing density (Cg) hold for oxide glasses, since this would enable m and Cg to be used as surrogates for ν. To do so, we have performed an extensive literature review and synthesized new oxide glasses within the zinc borate and aluminoborate families that are found to exhibit high Poisson’s ratio values up to ~0.34. We are not able to unequivocally confirm the universality of the Novikov-Sokolov correlation between ν and m and that between ν and Cg for oxide glass-formers, nor for the organic, ionic, chalcogenide, halogenide, or metallic glasses. Despite significant scatter, we do, however, observe an overall increase in ν with increasing m and Cg, but it is clear that additional structural details besides m or Cg are needed to predict and understand the composition dependence of Poisson’s ratio. Finally, we also infer from literature data that, in addition to high ν, high Young’s modulus is also needed to obtain glasses with high fracture toughness.

Surface damage resistance and yielding of chemically strengthened silicate glasses: From normal indentation to scratch loading

“…Strongly interconnected glass networks with low atomic packing density often exhibit lower Poisson's ratio as compared to more densely packed glasses with a lower degree of cross-linking. 29 Although the universal validity of these simplistic correlations has very recently been questioned, 59 the atomic packing density and network dimensionality have frequently been utilized as useful metrics to describe compositional variations in Poisson's ratio for a variety of silicate 48,[60][61][62][63][64] and aluminosilicate glasses. [65][66][67] The observed increase of with increasing molar ratio R may originate from the parallel increase of C g upon progressive substitution of Na 2 O by K 2 O.…”

High-entropy R2O3-Y2O3-TiO2-ZrO2-Al2O3 glasses with ultrahigh hardness, Young's modulus, and indentation fracture toughness

“…Under the same load, glasses with higher fracture toughness can exhibit stronger resistance to crack growth, and this results in the decrease of crack length. Notably, the fracture toughness of R = La, Sm, and Gd glass is 1.21 MPa$m 0.5 , 1.39 MPa$m 0.5 , and 1.52 MPa$m 0.5 , respectively, which is much larger than the values of current commercially available oxide glasses, such as silicates, borates, borosilicate, etc., which is reported to be lower than 1 MPa$m 0.5 (Quinna and Swab, 2013;To, 2019;Østergaard et al, 2019;Rouxel and Yoshida, 2017;Yao, 2016;Scannell et al, 2017;Vullo and Davis, 2004;Wiederhorn et al, 1974;Mezeix, 2017;Kato et al, 2010;Reddy et al, 1988), as shown in Figure 5C (areas below the gray short dash line). Currently, the highest fracture toughness of oxide glasses is reported to be 1.36 MPa m 0.5 using the single-edge pre-cracked beam method (To et al, 2021).…”

Correlation between kinetic fragility and Poisson's ratio from analysis of data for soft colloids

“…In the present work, following [13], fragility is calculated through density dependence, at ζ = ζ g . Correlation between the Poisson's ratio and fragility was found [32,37,[45][46][47][48][49][50]65] to be non-universal even within only molecular systems. Thus, while there exist a fundamental link between fragility and elasticity through the basic interaction potential, and the underlying structure of the liquid influences its long time dynamics, and the observed correlation between m and ν demonstrated in the present work is still at the level of a hypothesis.…”