avrami equation
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Metals ◽  
2021 ◽  
Vol 11 (12) ◽  
pp. 1986
Author(s):  
Liushun Wu ◽  
Kunlong Liu ◽  
Yun Zhou

To reduce energy and resource consumption, high-strength hot-rolled rebars with yield strengths of ≥400 MPa (HRB500) and ≥500 MPa (HRB600) have been designed and produced in recent years. Optimizing the microstructure in the steel to improve strength necessitates determining the kinetics of the phase transition of austenite to polygonal ferrite. Therefore, in the study, the effect of temperature and holding time on the volume fraction of ferrite is investigated in HRB500 and HRB600 steels. Experimental results show that the ferrite percentage initially increases with an increase in temperature and then decreases as the temperature increases from 600 to 730 °C. The optimum temperature range is 680–700 °C for HRB500 steel and 650–680 °C for HRB600 steel. Based on the Johnson–Mehl–Avrami equation, phase transition kinetic models are established. Model predictions are consistent with the validation data. Thus, this study establishes a reference for studying ferrite formation during cooling.


2021 ◽  
Vol 14 (4) ◽  
pp. 527-538
Author(s):  
Natalya V. Filatova ◽  
◽  
Nadezhda F. Kosenko ◽  
Artyom S. Artyushin

It was obtained aluminum hydroxide in the form of bayerite by precipitation with ammonia. The precipitation pH was found by the potentiometric titration. Based on the data of thermal, X‑ray diffraction and IR‑analysis it was identified the sequence of bayerite transitions up to 800 °C. The study of nitrogen adsorption- desorption allowed to determine a specific surface, a volume, and dimensions of pores for boehmite and γ- Al2O3 as 135±2 and 238±10 m2/g; 0.38 and 0.51 cm3/g; 1.7 and 3.8 nm, relatively. The value of effective activation energy for boehmite →γ- Al2O3 transition ((136±5) kJ/mol) was found by means of non- isothermal method (by Avrami equation)


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Shoushan Liu ◽  
Dong Li ◽  
Xinyi He ◽  
Hang Li ◽  
Xiaoyan Li ◽  
...  

Abstract The dry fractionation beef tallow and their products were analyzed in the dynamic thermodynamic analysis, isothermal analysis and crystallization kinetics analysis in this experiment. Through the dynamic thermodynamic analysis by DSC, the possibility of fine fractionation of beef tallow at 25 °C and 42.9 °C crystallization temperature was obtained. The dynamic thermodynamic analysis of dry fractionation products was carried out, and the linear functions of peak temperature and melting/crystallization rate of beef tallow and its stearic acid mixture were constructed. The crystallization temperature and melting point were obtained by linear function. The isothermal crystallization kinetic model was used to calculate and fit the experimental data by the Avrami model. Beef tallow and its stearic mixture were fitted with the Avrami equation to obtain R 2 ≥ 0.98. This analysis provides an innovative idea and method for thermodynamics and crystallization kinetics of beef tallow.


Metals ◽  
2021 ◽  
Vol 11 (11) ◽  
pp. 1696
Author(s):  
Xiaoyan Feng ◽  
Xue Pang ◽  
Xu He ◽  
Ruihong Li ◽  
Zili Jin ◽  
...  

In this paper, the hot workability of Mg-1Li-1Al (LA11) alloy is assessed through a uniaxial compression test in a temperature range from 200 to 400 °C and a strain rate, έ, of 1–0.01 s−1. The present study reveals that flow stress increases when the strain rate increases and deformation temperature decreases. Based on the hyperbolic sine equation, the flow stress constitutive equation of this alloy under high-temperature deformation is established. The average activation energy was 116.5 kJ/mol. Avrami equation was employed to investigate the dynamic recrystallization (DRX). The DRX mechanism affected by the deformation conditions and Zener–Hollomon parameters is revealed. Finally, the relationship between DRX volume fraction and deformation parameter is verified based on microstructure evolution, which is consistent with the theoretical prediction.


Author(s):  
Krzysztof W. Fornalski ◽  
Ludwik Dobrzyński

AbstractThe nucleation and growth theory, described by the Avrami equation (also called Johnson–Mehl–Avrami–Kolmogorov equation), and usually used to describe crystallization and nucleation processes in condensed matter physics, was applied in the present paper to cancer physics. This can enhance the popular multi-hit model of carcinogenesis to volumetric processes of single cell’s DNA neoplastic transformation. The presented approach assumes the transforming system as a DNA chain including many oncogenic mutations. Finally, the probability function of the cell’s cancer transformation is directly related to the number of oncogenic mutations. This creates a universal sigmoidal probability function of cancer transformation of single cells, as observed in the kinetics of nucleation and growth, a special case of a phase transition process. The proposed model, which represents a different view on the multi-hit carcinogenesis approach, is tested on clinical data concerning gastric cancer. The results also show that cancer transformation follows DNA fractal geometry.


Crystals ◽  
2021 ◽  
Vol 11 (10) ◽  
pp. 1260
Author(s):  
Li-Ting Lee ◽  
Hsiang-Yun Tseng ◽  
Tzi-Yi Wu

In this study, a thorough study of the crystallization behaviors of the biodegradable polymer composites of poly(ethylene succinate) (PESu) and hexagonal boron nitride (h-BN) was carried out. We found that h-BN had a significant nucleation effect on crystallization behaviors. DSC isothermal crystallization results demonstrated that the crystallization time of the PESu/h-BN composites became shorter after adding h-BN. The rate constant k values calculated from the Avrami equation were larger for the composites, demonstrating that PESu’s crystallization rate was increased by adding h-BN. TEM and SEM images showed the well-dispersed h-BN in the PESu matrix. Optical microscopy revealed that the PESu/h-BN composites formed more and smaller spherulites than neat PESu did, which confirmed that h-BN caused the nucleation effect. H-BN also accelerated non-isothermal crystallization kinetics. We discussed the behaviors of the Mo model, which demonstrated that h-BN promoted the kinetics of non-isothermal crystallization. The XRD diffraction patterns showed that h-BN in the composites would not obviously change the crystalline structure of PESu.


Materials ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 5912
Author(s):  
Jianbin Chen ◽  
Zhidong Zuo ◽  
Songze Zhou ◽  
Xiaofeng Wang ◽  
Yonglong Chen ◽  
...  

The assembled camshaft has obvious advantages in material optimization and flexible manufacturing. As the most important surface modification technique, the heat treatment process is utilized in this work to promote the desired compressive residual stress on the near-surface of the 100Cr6 steel assembled cam. The Johnson-Mehl-Avrami equation and Koistinen-Marbuger law are integrated into the ABAQUS software via user subroutines to simulate the evolution of diffusional transformation and diffusionless transformation, respectively. The linear mixture law is used for describing the coupled thermomechanical and metallurgical behaviors in the quenching of steel cam. The influences of various quenchants and the probable maximum phase volume fractions on surface residual stress or hardness are analyzed. Results show that a greater amount of martensite volume fraction and a slower martensitic transformation rate are beneficial for the compressive stress retention. Compared with the conventional quenching oil, the fast oil quenched cam surface has higher final compressive stress and hardness.


2021 ◽  
Author(s):  
Ruru Huang ◽  
Yane Zhang ◽  
Aimin Xiang ◽  
Songbai Ma ◽  
huafeng tian ◽  
...  

Abstract Polyvinyl alcohol (PVA) decompose before melting, making it difficult for melt processing. This phenomenon limits the applications of PVA. Therefore, to widen the application of PVA, in the present work, the PVA films have been prepared by the flow casting method. And talc added as an inorganic nucleating agent to improve the crystallinity of PVA. The effects of talc on the crystallization behavior of PVA are tested by differential scanning calorimetry (DSC), Fourier transform infrared spectroscopy (FTIR), X-ray diffraction (XRD), and successive self-nucleation annealing (SSA). The crystallization kinetics behavior of talc was is further studied by Mo Zhishen equation and Avrami equation. The results show that the addition of talc to the PVA film promotes its crystallization, and as the content of the nucleating agent increases, the crystallinity tends to increase, and the thickness of the wafer becomes uniform due to the increase of nucleation points. These results show that talc regulates the crystallization of PVA, improves the crystallinity and crystallization rate of PVA, and has a heterogeneous nucleation effect. PVA itself exhibits hydrophilicity because it contains large number of hydroxyl groups, and has good physical and chemical properties. In addition, the mechanical properties and water resistance have been further improved by improving the crystallinity of PVA, and the practicability of PVA film in actual production was improved.


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