Elastic-plastic deformation behavior of sapphire M-plane under static loading using nano-indentation

Yan, Shaohua; Nawaz, Ahmad; Islam, Bilal; Qin, Qing Hua; Mao, Weiguo; Shen, Y.G.; Ahmad, Ishaq; Hussain, Iftikhar

doi:10.1016/j.ceramint.2021.05.069

Cited by 11 publications

(4 citation statements)

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“…Therefore, the proportional specimen resistance (PSR) model is used to further describe the elastic-plastic properties [42]. The PSR model is applied to mathematically calculate the true hardness and is represented as [17,38]:…”

Section: Proportional Specimen Resistance (Psr) Modelmentioning

confidence: 99%

“…were produced for BaF 2 (100), (110), and (111). The results obtained from the aforementioned Equation (17) to Equation ( 15) are listed in Table 1. Both sets of true hardness values, denoted as (H 0 ) 1 and (H 0 ) 2 , exhibit close proximity to each other.…”

Section: Proportional Specimen Resistance (Psr) Modelmentioning

confidence: 99%

“…They observed the appearance of pop-in events in the load-displacement curves and found that the vertical deformation pattern during 4H-SiC indentation manifested as small pop-in events in the P-h curves. Yan et al [17] focused on the ISE and examined the hardness and elastic modulus of the sapphire (10-10) plane. They employed the Nix-Gao (N-G) model and the proportional specimen resistance (PSR) model.…”

Section: Introductionmentioning

confidence: 99%

“…Fitting curves of 𝑃 /ℎ against ℎ based on PSR model.They are recommended as measures of the true hardness, denoted as H0. To assess the feasibility of the PSR model in evaluating the ISE, two sets of 𝐻 values were obtained for BaF2 (100), (110), and (111)[17]:𝐻 = 𝑃 − 𝑎 ℎ 24.5ℎ(16)𝐻 = 𝑎 24.5(17)…”

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Anisotropic Deformation Behavior and Indentation Size Effect of Monocrystalline BaF2 Using Nanoindentation

Du,

Yang,

Deng

et al. 2023

Materials

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In this study, our objective is to investigate the anisotropic deformation behavior and the indentation size effect (ISE) of monocrystalline barium fluoride (BaF2) using nanoindentation experiments with a diamond Berkovich indenter. BaF2 is known for its anisotropy, which results in significant variations in its mechanical properties. This anisotropy poses challenges in achieving high processing quality in ultra-precision machining. Through our experiments, we observed numerous pop-in events in the load–displacement curves, indicating the occurrence of plastic deformation in BaF2 crystals, specifically in the (100), (110), and (111) orientations; these pop-in events were observed as the indentation depth increased to 56.9 nm, 58.2 nm, and 57.8 nm, respectively. The hardness–displacement and elastic modulus–displacement curves were obtained from the tests exhibiting the ISE. The nanoindentation hardness of BaF2 is found to be highly dependent on its crystallographic orientation. Similarly, for BaF2 in the (100) orientation, the range is from 2.43 ± 0.74 and 1.24 ± 0.12 GPa. For BaF2 in the (110) orientation, the values range from 2.15 ± 0.66 to 1.18 ± 0.15 GPa. For BaF2 in the (111) orientation, the values range from 2.12 ± 0.53 GPa to 1.19 ± 0.12 GPa. These results highlight the significant influence of crystallographic orientation on the mechanical properties of BaF2. To better understand the ISE, we employed several models including Meyer’s law, the Nix–Gao model, the proportional specimen resistance (PSR) model, and the modified PSR (mPSR) model, and compared them with our experimental results. Among these models, the mPSR model demonstrated the best level of correlation (R2>0.9999) with the experimental measurements, providing a reliable description of the ISE observed in BaF2. Our reports provide valuable insights into the anisotropic mechanical characteristics of BaF2 materials and serve as a theoretical guide for the ultra-precision machining of BaF2.

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Section: Proportional Specimen Resistance (Psr) Modelmentioning

confidence: 99%

Section: Proportional Specimen Resistance (Psr) Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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