Modelling of Recrystallization Curves of Porous Copper-Titanium Powder Materials

2012 ◽  
Vol 715-716 ◽  
pp. 965-970
Author(s):  
Lyudmila Ryabicheva ◽  
Dmytro Usatyuk
Keyword(s):  
Grain Size ◽  
Titanium Powder ◽  
Titanium Content ◽  
Powder Materials ◽  
Porous Powder ◽  
Degree Of Deformation ◽  
Porous Copper ◽  
Deformation Strain Rate ◽  
The Mathematical Model ◽  
Kinetics Of

In this paper, modelling and plotting of recrystallization curves of copper-titanium powder materials with titanium content of 0.5%, porosity 5% and 10%. The mathematical model that describes an influence of temperature, degree of deformation, strain rate, initial grain size and porosity to grain size after deformation has developed. The interconnection of deforming parameters and structure has presented by function of several variables with analytical expression obtained by method of undetermined coefficients based on experimental data. Theoretical recrystallization curves for copper-titanium powder materials with different porosity have plotted. It has established that porosity decelerates the kinetics of structure formation during dynamical softening of porous powder materials.

Sintering kinetics of capillary-porous powder materials

1993 ◽  
Vol 32 (6) ◽  
pp. 486-490
Author(s):  
L. I. Tuchinskii ◽  
M. B. Shtern ◽  
S. A. Zakharov
Keyword(s):  
Powder Materials ◽  
Porous Powder ◽  
Sintering Kinetics ◽  
Kinetics Of

scholarly journals Influence of micropores on structural instability of the combustion wave

2020 ◽  
Vol 15 (4) ◽  
pp. 33-40
Author(s):  
Hong Zhi Cui ◽  
Angelica A. Grigoryevskaya ◽  
Pavel Yu. Gulyaev
Keyword(s):  
Heat Transfer ◽  
Combustion Wave ◽  
High Speed ◽  
Video Recording ◽  
Structural Instability ◽  
Powder Materials ◽  
Porous Powder ◽  
Unstable Combustion ◽  
Adiabatic Combustion Temperature ◽  
The Mathematical Model

The article shows examples of visualization of the process of heat transfer by radiation in unstable combustion modes of porous powder materials, which are in good agreement with the results of high-speed video recording and micropyrometry. The mathematical model and the results of calculating the structure of the combustion wave in the Ni-Al system are presented. The contribution of radiative heat transfer at an adiabatic combustion temperature in the range of 810 % and the effect of its trigger shutdown with decreasing temperature were revealed.

Electron microscopy study of shock synthesis of silicides

1993 ◽  
Vol 51 ◽  
pp. 1162-1163
Author(s):  
Kenneth S. Vecchio
Keyword(s):  
Shock Wave ◽  
Plastic Deformation ◽  
Close Contact ◽  
Microscopy Study ◽  
High Energy ◽  
Electron Microscopy Study ◽  
Powder Materials ◽  
Porous Powder ◽  
Wave Effects ◽  
Wave Passage

Shock-induced reactions (or shock synthesis) have been studied since the 1960’s but are still poorly understood, partly due to the fact that the reaction kinetics are very fast making experimental analysis of the reaction difficult. Shock synthesis is closely related to combustion synthesis, and occurs in the same systems that undergo exothermic gasless combustion reactions. The thermite reaction (Fe2O3 + 2Al -> 2Fe + Al2O3) is prototypical of this class of reactions. The effects of shock-wave passage through porous (powder) materials are complex, because intense and non-uniform plastic deformation is coupled with the shock-wave effects. Thus, the particle interiors experience primarily the effects of shock waves, while the surfaces undergo intense plastic deformation which can often result in interfacial melting. Shock synthesis of compounds from powders is triggered by the extraordinarily high energy deposition rate at the surfaces of the powders, forcing them in close contact, activating them by introducing defects, and heating them close to or even above their melting temperatures.

Elastic Modulus of Pb/Sn Solder Joints in Microelectronics

2002 ◽  
Author(s):  
Cemal Basaran ◽  
Jianbin Jiang
Keyword(s):  
Grain Size ◽  
Elastic Modulus ◽  
Single Crystal ◽  
Solder Alloy ◽  
Ultrasonic Testing ◽  
Heterogeneous Materials ◽  
Testing Methods ◽  
Nano Indentation ◽  
Deformation Kinetics ◽  
Kinetics Of

Young’s modulus (E) values published in literature for the eutectic Pb37/Sn63 and near eutectic Pb40/Sn60 solder alloy vary significantly. One reason for this discrepancy is different testing methods for highly rate sensitive heterogeneous materials, like Pb/Sn alloys, yield different results. In this paper, we study different procedures used to obtain the elastic modulus; analytically, by single crystal elasticity and experimentally by ultrasonic testing and Nano indentation. We compare these procedures and propose a procedure for elastic modulus determination. The deformation kinetics of the Pb/Sn solder alloys is discussed at the grain size level.

Microstructure and Tensile Property of Zn-Al Alloy Reinforced with Titanium Produced by Electrolysis

2009 ◽  
Vol 79-82 ◽  
pp. 1415-1418 ◽  
Author(s):  
Shu Qing Yan ◽  
Jing Pei Xie ◽  
Wen Yan Wang ◽  
Ji Wen Li
Keyword(s):  
Grain Size ◽  
Tensile Property ◽  
Heterogeneous Nucleation ◽  
Titanium Content ◽  
Small Dimension ◽  
Al Alloy ◽  
Exotic Particles ◽  
Titanium Aluminum ◽  
High Dispersity

In this study, some low-titanium aluminum alloys produced by electrolysis were prepared and the effect of various titanium contents on microstructure and tensile property of Zn-Al alloy was investigated. The test results showed that addition of titanium by electrolysis is an effective way to refine the grain size of Zn-Al alloy. As the titanium content is 0.04 wt%, the grain size becomes to be a minimum value and the tensile property of the alloy reaches to the maximum. Electrolysis showed that titanium atoms are to be some inherent particles in low-titanium aluminum alloy. These titanium atoms enter into the aluminum melt liquid and spread to the whole melt rapidly under stirring action of electromagnetic field of the electric current. The heterogeneous phase nuclei are high melting TiC and TiAl3 particles formed from in-situ precipitating trace C and Ti during cooling process. These in-situ precipitating heterogeneous nucleation sites with small dimension, high dispersity, cleaning interface and fine soakage with melt, have better capacity of heterogeneous nucleation than of exotic particles. It may inhibit grain growth faster and more effective in pinning dislocations, grain boundaries or sub-boundaries.

Influence of the structural properties of porous powder materials on the uniformity of local permeability

1988 ◽  
Vol 27 (9) ◽  
pp. 715-716
Author(s):  
P. A. Vityaz' ◽  
V. M. Kaptsevich ◽  
V. K. Sheleg ◽  
V. V. Savich ◽  
A. G. Kostornov ◽  
...  
Keyword(s):  
Structural Properties ◽  
Powder Materials ◽  
Porous Powder ◽  
Local Permeability

SENSITIVITY ANALYSIS AND IDENTIFIABILITY OF A MATHEMATICAL MODEL OF A CHEMICAL REACTION

2021 ◽  
pp. 14-18
Author(s):  
Л.Ф. Сафиуллина
Keyword(s):  
Mathematical Model ◽  
Inverse Problem ◽  
Sensitivity Analysis ◽  
Chemical Reaction ◽  
Reaction Model ◽  
Numerical Calculations ◽  
Specific Reaction ◽  
Uniqueness Of The Solution ◽  
The Mathematical Model ◽  
Kinetics Of

В статье рассмотрен вопрос идентифицируемости математической модели кинетики химической реакции. В процессе решения обратной задачи по оценке параметров модели, характеризующих процесс, нередко возникает вопрос неединственности решения. На примере конкретной реакции продемонстрирована необходимость проводить анализ идентифицируемости модели перед проведением численных расчетов по определению параметров модели химической реакции. The identifiability of the mathematical model of the kinetics of a chemical reaction is investigated in the article. In the process of solving the inverse problem of estimating the parameters of the model, the question arises of the non-uniqueness of the solution. On the example of a specific reaction, the need to analyze the identifiability of the model before carrying out numerical calculations to determine the parameters of the reaction model was demonstrated.

Refinement of Size Distributions for Primary Crystallizations

1997 ◽  
Vol 481 ◽  
Author(s):  
E. Pineda ◽  
T. Pradell ◽  
D. Crespo ◽  
N. Clavaguera ◽  
J. ZHU ◽  
...  
Keyword(s):  
Grain Size ◽  
Metastable Phase ◽  
Primary Crystallization ◽  
Controlled Growth ◽  
Diffusion Controlled ◽  
Average Grain Size ◽  
Soft Impingement ◽  
Single Grain ◽  
Kinetics Of ◽  
And Diffusion

ABSTRACTThe microstructure developed in primary crystallizations is studied under realistic conditions. The primary crystallization of an amorphous alloy is modeled by considering the thermodynamics of a metastable phase transition and the kinetics of nucleation and crystal growth under isothermal annealing. A realistic growth rate, including an interface controlled growth at the beginning of the growth of each single grain and diffusion controlled growth process with soft impingement afterwards is considered. The reduction in the nucleation rate due to the compositional change in the remaining amorphous matrix is also taken into account. The microstructures developed during the transformation are obtained by using the Populational KJMA method, from the above thermodynamic and kinetic factors. Experimental data of transformed fraction, grain density, average grain size, grain size distribution and other related parameters obtained from annealed metallic glasses are modeled.

scholarly journals Modern quantitative microstructure analysis on the example of aicu5mg1 alloys

2002 ◽  
pp. 109-114
Author(s):  
Biljana Zlaticanin ◽  
Branislav Radonjic ◽  
Branka Jordovic
Keyword(s):  
Grain Size ◽  
Chemical Composition ◽  
Linear Method ◽  
Titanium Content ◽  
Mean Value ◽  
Grain Refining ◽  
Relative Standard ◽  
Method Of Measurement ◽  
The Mean ◽  
Picture Analysis

Using an automatic, QUANTIMET 500 MC, device for quantitative picture analysis and applying linear method of measurement on the example of AlCu5Mg1 alloys, the grain size (min, max and medium values), as well as relative standard measuring errors (RSE), dendrite arm spacing (DAS) and length eutectic (Le) and also distribution by size (histogram) and volume participation of ?-hard solution and eutectic have been determined. We have also studied the influence of grain-refining additives AlTi5B1 for the same chemical composition of the aluminium-capper-magnesium alloy. It has been concluded that with the increase of titanium content, the mean value of grain size decreases. We have also examined hardness and pressure strength.

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