Modeling the quantitative effects of size, dimensionality and temperature on Young’s modulus of nanocrystals

Ma, Yanli; Li, Weiguo; Dong, Pan; Yang, Mengqing; He, Yi; Zheng, Shifeng; Zhao, Zhongyong; Zhang, Ruozhen; Zhang, Zhiqing; Li, Ming

doi:10.1140/epjp/s13360-022-02982-3

Cited by 5 publications

(3 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In line with the Laplace–Young equation, P in = 4(3 − d ) f /(6 r ). Based on our previous work, 32,44 f can be written as follows:where V m (∞) and B are the bulk molar volume and bulk modulus, respectively. Combining the above discussion, Δ E r ( r , d ) can be expressed as:…”

Section: Theoretical Modelmentioning

confidence: 99%

“…29,30 From a mechanical point of view, the surface strain appears to cause an additional internal pressure role in the new surface, and then affects the T m ( r ). 31,32 According to the above discussion, it is significant to develop a theoretical model to study the T f ( r ) and T m ( r ) of water nanodroplets and ice nanocrystals, and quantitatively characterizing the relationship among the T m , T f , and r , as well as to reveal the mechanisms underlying these freezing and melting behavior.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Freezing of water and melting of ice: theoretical modeling at the nanoscale

Ma,

Dong,

et al. 2023

Nanoscale

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Freezing of water and melting of ice: theoretical modeling at the nanoscale

Ma,

Dong,

et al. 2023

Nanoscale

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although L-J potential is the simplest form proposed to describe the interatomic interaction, it reflects the general behavior or the trend of variations in atomic interaction with respect to the atomic spacing for both physical and chemical interactions. Lennard-Jones potential has been widely used for simulating and analyzing material cracking phenomena and Young's modulus [60][61][62][63]. The change in Young's modulus can be interpreted by comparing the atomic bond energy with or without local micro-cracking.…”

Section: Intrinsic E (Acoustic)mentioning

confidence: 99%

A further look at the nano/micro-indentation method for measuring and ranking Young’s modulus and hardness of materials

Zhang,

2023

Phys. Scr.

View full text Add to dashboard Cite

Determination of the intrinsic Young's modulus (E) is essential for material design and applications. However, the commonly used micro/nano-indentation method does not give accurate intrinsic Young's modulus, since the measured modulus comes from the damaged zone under the indent tip. In this study, we analyze the intrinsic Young’s modulus or that without local damage caused by indentation, and determine that the intrinsic Young’s modulus can be determined by extrapolation of the E ~ load curve as the indentation load approaches zero. To support this finding, indentation behaviors of five ceramic materials (Al2O3, Si3N4, ZrO2, glass and cemented WC/Co) were analyzed and compared with those determined using an acoustic method. The intrinsic Young's modulus measured, e.g., using the acoustic method, are appropriate for material ranking, while Young's moduli of different materials measured by indentation under the same load could give misleading information because of different degrees of local damage to the materials under the indenter. Underlying mechanisms for the observed phenomena shown in this novel and unqiue study are elucidated based on the interatomic bonding. Hardness versus load curves show trends similar to those of Young’s modulus. However, unlike the Young’s modulus, the hardness values measured under the same load can be directly used to rank materials; the reason behind is also discussed.

show abstract