scholarly journals Study of Nonlinear Deformation of FCC-AuCuSi under Pressure by the Statistical Moment Method

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Nguyen Quang Hoc ◽  
Bui Duc Tinh ◽  
Nguyen Duc Hien ◽  
Gelu Coman
Keyword(s):  
Moment Method ◽  
Nonlinear Deformation ◽  
Strain Curve ◽  
Deformation Energy ◽  
Statistical Moment ◽  
Face Centered Cubic ◽  
Stress Strain Curve ◽  
Calculation Results ◽  
Face Centered ◽  
Statistical Moment Method

In this work, we build the model and derive the theory of nonlinear deformation for substitutional alloy AB with interstitial atom C and face-centered cubic structure under pressure from the statistical moment method. The calculation results for FCC-AuCuSi are presented. We obtain the values of density of deformation energy, maximum real stress, limit of elastic deformation, and the stress-strain curve and compare the calculated results with experiments and other calculations.

An improved high-order statistical moment method for structural reliability analysis with insufficient data

2017 ◽  
Vol 232 (6) ◽  
pp. 1050-1056 ◽  
Author(s):  
Tianxiao Zhang ◽  
David He
Keyword(s):  
Reliability Analysis ◽  
Moment Method ◽  
Structural Reliability ◽  
Statistical Moment ◽  
High Order ◽  
Structural Systems ◽  
Insufficient Data ◽  
Reliability Calculation ◽  
Calculation Results ◽  
Statistical Moment Method

The fourth-order moment method for reliability analysis of structural systems can be practically applied to effectively address the problem of reliability calculation and analysis with insufficient probability data. For complicated reliability analysis problems, however, this method can lead to inaccurate and unstable reliability calculation results. In this paper, an improved high-order statistical moment method for structural reliability analysis with insufficient data is presented. The presented method is inferred using the properties of statistical moment of standard normal distribution parameter and therefore is possible to obtain more stable and accurate calculation of the reliability indexes of a structural system with insufficient probability data. Two numerical examples are provided to show the performance of the presented method. The example results have shown that the method proposed in this paper not only improves the calculation accuracy and stability, but also brings the calculation results closer to the project conditions. The developed high-moment method for reliability calculation of structural systems provides a practical and effective theoretical base and technical support for the reliability design of structural systems.

scholarly journals Investigation of Thermodynamic Properties of Metal Thin Film by Statistical Moment Method

2013 ◽  
Vol 23 (4) ◽  
pp. 301
Author(s):  
Vu Van Hung ◽  
Duong Dai Phuong ◽  
Nguyen Thi Hoa
Keyword(s):  
Thin Film ◽  
Thermodynamic Properties ◽  
Moment Method ◽  
Linear Thermal Expansion ◽  
Statistical Moment ◽  
Thermodynamic Quantities ◽  
Face Centered Cubic ◽  
Specific Heats ◽  
Metal Thin Film ◽  
Statistical Moment Method

The thermodynamic properties of the metal thin film with face-centered cubic structure at zero pressure are investigated using the statistical moment method \((SMM)\), including the anharmonicity effects of thermal lattice vibrations. The Helmholtz free energy, linear thermal expansion coefficients, specific heats at the constant volume and those at the constant pressure, \(C_V\) and \(C_p\) are derived in closed analytic forms in terms of the power moments of the atomic displacements. Numerical calculations for thermodynamic quantities of Al, Au and Ag thin films are found to be in good agreement with those of the other theoretical results and experimental data.

THE DIFFUSION IN FCC BINARY INTERSTITIAL ALLOY

2020 ◽  
Vol 65 (10) ◽  
pp. 18-23
Author(s):  
Hoc Nguyen Quang ◽  
Loan Pham Thi Thanh ◽  
Viet Nguyen Tuan ◽  
Le Nguyen Ngoc
Keyword(s):  
Diffusion Coefficient ◽  
Moment Method ◽  
Interstitial Atom ◽  
Diffusion Theory ◽  
Correlation Factor ◽  
Statistical Moment ◽  
Analytic Expressions ◽  
Fcc Metal ◽  
Statistical Moment Method

We build the theory of diffusion for FCC binary interstitial alloy under pressure based on the statistical moment method, where there are the analytic expressions of the jumping frequency of interstitial atom, the effective jumping length, the correlation factor, the diffusion coefficient, and the activated energy. In limit cases, we can obtain the diffusion theory for FCC metal A under pressure.

scholarly journals Critical Temperature for Ordered-Disordered Phase Transformation in Cu3Au under Pressure

2018 ◽  
Vol 2018 ◽  
pp. 1-4
Author(s):  
Pham Dinh Tam ◽  
Bui Duc Tinh ◽  
Nguyen Quang Hoc ◽  
Pham Duy Tan
Keyword(s):  
Experimental Data ◽  
Phase Transformation ◽  
Critical Temperature ◽  
Moment Method ◽  
Statistical Moment ◽  
Disordered Phase ◽  
Good Agreement ◽  
Statistical Moment Method

We use the statistical moment method to study the dependence of the critical temperature Tc for Cu3Au on pressure in the interval from 0 to 30 kbar. The calculated mean speed of changing critical temperature to pressure is 1.8 K/kbar. This result is in a good agreement with the experimental data.

MELTING CURVE OF SEMICONDUCTORS WITH DEFECTS: PRESSURE DEPENDENCE

2012 ◽  
Vol 26 (07) ◽  
pp. 1250050 ◽  
Author(s):  
VU VAN HUNG ◽  
LE DAI THANH
Keyword(s):  
High Pressure ◽  
Moment Method ◽  
High Pressures ◽  
Melting Curve ◽  
Statistical Moment ◽  
Negative Slope ◽  
Pressure Melting ◽  
New Equation ◽  
Good Agreement ◽  
Statistical Moment Method

The high-pressure melting curve of semiconductors with defects has been studied using statistical moment method (SMM). In agreement with experiments and with DFT calculations we obtain a negative slope for the high-pressure melting curve. We have derived a new equation for the melting curve of the defect semiconductors. The melting was investigated at different high pressures, and the SMM calculated melting temperature of Si, AlP, AlAs and GaP crystals with defects being in good agreement with previous experiments.

scholarly journals Studying the Effects of Vacancies on the Melting Temperature of \(\text{AgCe}\) Alloy

2018 ◽  
Vol 28 (2) ◽  
pp. 155
Author(s):  
Dang Thanh Hai ◽  
Vu Van Hung ◽  
Giang Thi Hong
Keyword(s):  
High Pressure ◽  
Free Energy ◽  
Melting Temperature ◽  
Moment Method ◽  
Statistical Moment ◽  
Melting Temperatures ◽  
Substitution Alloy ◽  
Numerical Calculation Method ◽  
Analytical Expressions ◽  
Statistical Moment Method

In order to evaluate the effects of vacancies on the melting temperature of AgCe alloy, the statistical moment method was used to find out the analytical expressions to determine the Gibbs free energy in the AB substitution alloy and the expression to calculate the melting temperature of perfect and imperfect AB substitution Alloys. The melting temperature was calculated by the numerical calculation method on the perfect and imperfect AgCe alloy. The calculating results shown that the melting temperature of alloys increase with a increase in pressure. The melting temperatures of imperfect alloy of AgCe, Ag2Ce and Ag3Ce are always slightly lower than that of perfect alloys. Especially, the melting temperatures value of perfect and imperfect alloy were almost the same at high pressure. The melting temperature of alloys increase with an increase in amount of Ag containing in the alloys. The calculated results agreed well with the experimental results at P = 0.

scholarly journals Stress-strain model study of ferrous tailing concrete short column restraint by hooping

Mining Scince ◽  
2019 ◽  
Vol 26 ◽  
Author(s):  
Sujuan Li ◽  
Hongzhen Kang
Keyword(s):  
Strain Curve ◽  
Stress Strain Curve ◽  
Stress Strain ◽  
Natural Sand ◽  
Short Column ◽  
Model Study ◽  
Calculation Results ◽  
Strain Relationship ◽  
Strain Model ◽  
Curve Equation

This paper talked about stress-strain curve of stirrup restraint ferrous tailing concrete by test and theoretical analysis. Twenty short column of 5 strength grade are contained in the test with WC30, WC35, WC40, WC45 and WC50. And the stress-strain data was achieved after the axial compression behavior test. Through the stress-strain curve, it can be found that the stress-strain relationship is similar with natural sand concrete. At the same time, it was put forward the whole stress-strain curve equation of stirrup restraint ferrous tailing concrete. The calculation results showed that the data calculating by the eqution this paper are in good agreement with the experimental data.

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