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

Nguyen Quang Hoc,Nguyen Duc Hien,Gelu Coman,Bui Duc Tinh,Hamed Akhavan

doi:10.1155/2021/6693326

Abstract

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.

Highlights

E dependence of elastic and nonlinear deformations of materials on temperature, pressure, and concentration of components has very important role in predicting and understanding their interatomic interactions, strength, mechanical stability, phase transition mechanisms, and dynamical response
We have studied the elastic deformation for body-entered cubic (BCC) and face-centered cubic (FCC) ternary and binary interstitial alloys under pressure by the statistical moment method (SMM) in [5,6,7,8,9,10]
When the pressure increases from 2 to 4 GPa, the maximum real stress increases by 3% and the elastic limit decreases by 7.86%

Summary

Introduction

E dependence of elastic and nonlinear deformations of materials on temperature, pressure, and concentration of components has very important role in predicting and understanding their interatomic interactions, strength, mechanical stability, phase transition mechanisms, and dynamical response. We obtain σ0.2 89.1 × 109 × 0.002 178.2 × 106 Pa. Figure 1 shows the density of deformation energy f(ε) and the real stress σ1(ε)of AuCuSi at T 300 K, P 0, cSi 1%, and cCu 1, 3, and 5% calculated by the SMM.

Results

Conclusion