scholarly journals On the Measurement of Particle Contact Curvature and Young’s Modulus Using X-ray μCT

2021 ◽  
Vol 11 (4) ◽  
pp. 1752
Author(s):  
Li Ge Wang ◽  
Zhipeng Li ◽  
Lianzhen Zhang ◽  
Rongxin Zhou ◽  
Xizhong Chen
Keyword(s):  
Young’S Modulus ◽  
Mechanical Response ◽  
Young's Modulus ◽  
Particle Morphology ◽  
Digital Information ◽  
X Ray ◽  
X Ray Computed ◽  
Micro Tomography ◽  
Global Fitting

Contact curvature plays a pivotal role in the Young’s modulus determination and mechanical response of a particle. This paper presents the sensitivity analysis of a particle morphology to contact curvature and its influence on the Young’s modulus determination during the elastic deformation of a particle. X-ray computed micro-tomography (μCT) was conducted to obtain the prototype of a single particle. The digital information of the scanned particle, including 2D slices and 3D rendering was processed and the variation of contact curvature of the particle was examined using the circular (spherical at 3D) and polynomial fitting methods. The fitting sections of the particle are taken into account. The effect of contact curvature on Young’s modulus determination was investigated and it was found that Young’s modulus changed substantially from global fitting to local fitting. Young’s modulus is highly related to the surface roundness, which exerts a significant influence on the determination of Young’s modulus.

Determination of single-crystal elastic constants from a cubic polycrystalline aggregate

1985 ◽  
Vol 18 (6) ◽  
pp. 513-518 ◽  
Author(s):  
M. Hayakawa ◽  
S. Imai ◽  
M. Oka
Keyword(s):  
Single Crystal ◽  
Young’S Modulus ◽  
Elastic Constants ◽  
Young's Modulus ◽  
Polycrystalline Aggregate ◽  
X Ray ◽  
Cubic Stiffness

A method for determining cubic stiffness constants from polcrystalline Young's modulus and X-ray elastic constants is described. The relations used among these elastic constants are those based on Kröner's quasiisotropic model. The X-ray elastic constants required [S1(hkl)] are obtained by measuring various (hkl) d spacings of a stressed specimen under symmetric θ–2θ scan mode. An application to an Fe–31Ni alloy has given the results: C 11 = 1.47, C 12 = 1.05 and C 44 = 1.24 × 1011 Pa.

Determination of Young's modulus and Poisson's ratio of thin films by X-ray methods

2013 ◽  
Vol 544 ◽  
pp. 201-205 ◽  
Author(s):  
Wei-En Fu ◽  
Yong-Qing Chang ◽  
Bo-Ching He ◽  
Chung-Lin Wu
Keyword(s):  
Thin Films ◽  
Young’S Modulus ◽  
Poisson’S Ratio ◽  
Young's Modulus ◽  
Poisson's Ratio ◽  
X Ray ◽  
Ray Methods

Microfibril Angle Determination of Rattan Fibers and its Influence on the Properties of the Cane

Holzforschung ◽  
2000 ◽  
Vol 54 (4) ◽  
pp. 437-442 ◽  
Author(s):  
Willie P. Abasolo ◽  
Masato Yoshida ◽  
Hiroyuki Yamamoto ◽  
Takashi Okuyama
Keyword(s):  
Young’S Modulus ◽  
Staining Method ◽  
Young's Modulus ◽  
Microfibril Angle ◽  
Curvilinear Relationship ◽  
Longitudinal Shrinkage ◽  
X Ray Diffraction ◽  
X Ray ◽  
Rattan Cane

Summary The microfibril angle of rattan fibers was determined using the iodine staining method and the X-ray diffraction technique. The two were compared to assess the applicability of the X-ray technique in estimating the actual microfibril angle (MFA) of the fiber walls. Likewise, longitudinal Young's modulus and longitudinal shrinkage were evaluated to determine the influence of MFA on the properties of the cane. The X-ray technique gave an accurate and objective estimate of the actual MFA of the fiber walls. A nonlinear relationship existed between MFA and longitudinal Young's modulus while a curvilinear relationship was observed between MFA and longitudinal shrinkage. This pattern is similar to the behavior of wood. Thus, it was deduced that the influence of microfibril angle on the properties of rattan cane is similar to its influence on the properties of wood.

Mechanical properties of FeAlSi powders prepared by mechanical alloying from different initial feedstock materials

2019 ◽  
Vol 107 (2) ◽  
pp. 207 ◽  
Author(s):  
Jaroslav Čech ◽  
Petr Haušild ◽  
Miroslav Karlík ◽  
Veronika Kadlecová ◽  
Jiří Čapek ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Mechanical Alloying ◽  
Young’S Modulus ◽  
Milling Time ◽  
Young's Modulus ◽  
Element Model ◽  
X Ray Diffraction ◽  
X Ray ◽  
Powder Particles ◽  
Complete Homogenization

FeAl20Si20 (wt.%) powders prepared by mechanical alloying from different initial feedstock materials (Fe, Al, Si, FeAl27) were investigated in this study. Scanning electron microscopy, X-ray diffraction and nanoindentation techniques were used to analyze microstructure, phase composition and mechanical properties (hardness and Young’s modulus). Finite element model was developed to account for the decrease in measured values of mechanical properties of powder particles with increasing penetration depth caused by surrounding soft resin used for embedding powder particles. Progressive homogenization of the powders’ microstructure and an increase of hardness and Young’s modulus with milling time were observed and the time for complete homogenization was estimated.

Determination of reservoir rock residual water using X-ray computed microtomography

2018 ◽  
pp. 38-42 ◽  
Author(s):  
I.V. Yazynina ◽  
◽  
E.V. Shelyago ◽  
A.A. Abrosimov ◽  
N.E. Grachev ◽  
...  
Keyword(s):  
Reservoir Rock ◽  
Residual Water ◽  
X Ray ◽  
Computed Microtomography ◽  
X Ray Computed

Is it necessary to calculate Young’s modulus in AFM nanoindentation experiments regarding biological samples?

2020 ◽  
Vol 12 ◽  
Author(s):  
S.V. Kontomaris ◽  
A. Malamou ◽  
A. Stylianou
Keyword(s):  
Young’S Modulus ◽  
Biological Samples ◽  
Young's Modulus ◽  
Reference Sample ◽  
Nonlinear Behavior ◽  
Accurate Method ◽  
Accurate Solution ◽  
Hertz Model ◽  
Work Done

Background: The determination of the mechanical properties of biological samples using Atomic Force Microscopy (AFM) at the nanoscale is usually performed using basic models arising from the contact mechanics theory. In particular, the Hertz model is the most frequently used theoretical tool for data processing. However, the Hertz model requires several assumptions such as homogeneous and isotropic samples and indenters with perfectly spherical or conical shapes. As it is widely known, none of these requirements are 100 % fulfilled for the case of indentation experiments at the nanoscale. As a result, significant errors arise in the Young’s modulus calculation. At the same time, an analytical model that could account complexities of soft biomaterials, such as nonlinear behavior, anisotropy, and heterogeneity, may be far-reaching. In addition, this hypothetical model would be ‘too difficult’ to be applied in real clinical activities since it would require very heavy workload and highly specialized personnel. Objective: In this paper a simple solution is provided to the aforementioned dead-end. A new approach is introduced in order to provide a simple and accurate method for the mechanical characterization at the nanoscale. Method: The ratio of the work done by the indenter on the sample of interest to the work done by the indenter on a reference sample is introduced as a new physical quantity that does not require homogeneous, isotropic samples or perfect indenters. Results: The proposed approach, not only provides an accurate solution from a physical perspective but also a simpler solution which does not require activities such as the determination of the cantilever’s spring constant and the dimensions of the AFM tip. Conclusion: The proposed, by this opinion paper, solution aims to provide a significant opportunity to overcome the existing limitations provided by Hertzian mechanics and apply AFM techniques in real clinical activities.

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