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Abstract

State-of-the-art techniques for growing crystals are yielding materials with unique properties – such as metamaterial behavior or plasmon-enhanced optical performance.
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Authors and Affiliations

Piotr Piotrowski
1

  1. ENSEMBLE Centre of Excellence in WarsawUniversity of Warsaw
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Abstract

The paper deals with the possibilities of influencing the final microstructure of aluminium alloy castings by changing the external conditions of crystallization and solidification. Aluminum alloys, especially Al-Si alloys, are nowadays one of the most used non-ferrous metal alloys, especially due to their mass application in the automotive field. It is in this industry that extreme emphasis is placed on the quality of cast parts with regard to safety. For this reason, a key production parameter is the mastery of the control of the resulting microstructure of the castings and the associated internal quality, which is subject to high demands defined by international standards. The aim of the experiment of this paper is to evaluate the effect of different preheating of the metal mould on the resulting structure and hardness of test castings made of AlSi7Mg0.3 material. The hardness measurement will be evaluated on a hardness tester. The parameter SDAS, Microporosity, Content of excluded eutectic will be evaluated. Dependencies will be found and plotted.
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Authors and Affiliations

F. Radkovský
1
ORCID: ORCID
M. Gawronová
1
ORCID: ORCID
I. Kroupová
1
ORCID: ORCID

  1. VSB - Technical University of Ostrava, Czech Republic
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Abstract

The hydrolysis of lignocellulosic biomass results in the production of so-called fermentation inhibitors, which reduce the efficiency of biohydrogen production. To increase the efficiency of hydrogen production, inhibitors should be removed from aqueous hydrolysate solutions before the fermentation process. This paper presents a new approach to the detoxification of hydrolysates with the simultaneous formation of in-situ deep eutectic solvents (DES). In the first stage of the study, inhibitors were identified in the real hydrolysate samples using highperformance liquid chromatography (HPLC). Four monoterpenes were tested for their potential to extract furfural (FF) with simultaneous DES formation. An optimization process of the most important parameters affecting the extraction process and DES formation (Thymol:FF) was conducted using the Central Composite Design (CCD) model. A temperature of 40 °C, pH of 7, mHBD:mHYD ratio of 2:1, and time of 50 min were selected as the optimal conditions. These results indicate the high efficiency of FF removal from hydrolysates (92.1 - 94.6 %) in a onestep process. Meanwhile, the structural properties of the formed DES measured by Fouriertransform infrared spectroscopy (FT-IR) and Nuclear magnetic resonance spectroscopy (NMR) differed only slightly from those of the DES composed of pure substances (Furfural and Thymol).
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Authors and Affiliations

Patrycja Makoś-Chełstowska
1
ORCID: ORCID
Edyta Słupek
1
ORCID: ORCID
Karolina Kucharska
1
ORCID: ORCID
Jacek Gębicki
1
ORCID: ORCID

  1. Gdansk University of Technology, Faculty of Chemistry, Department of Process Engineeringand Chemical Technology, 80-233 Gdansk, Poland
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Abstract

In this paper, the deviation from eutectic composition in boundary layer for eutectic growth is studied by phase-field method. According to a series of artificial phase diagram, the lamellar eutectic growth of these alloy is simulated during directional solidification. At steady state, average growth velocity of eutectic lamella is equal to the pulling velocity. With the increasing of the liquidus slope of β phase, the average composition in boundary layer would deviate from eutectic composition and the deviation increases. The constitutional undercooling difference between both solid phases caused by the deviation increases with the increasing of the deviation. The β phase would develop a depression under the influence of the deviation.

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Authors and Affiliations

Zhixin Tu
Jianxin Zhou
Yajun Yin
Xiaoyuan Ji
Xu Shen
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Abstract

Directionally solidified sample of Fe-Fe3C eutectic alloy were produced under an argon atmosphere in a vacuum Bridgman-type furnace to

study the eutectic growth with v = 167 μm/s pulling rate and constant temperature gradient G = 33.5 K/mm. Since how the growth texture

of eutectic cementite is related to its growth morphology remains unclear, the current study aims to examine this relationship. The technique

such as X-ray diffraction, have been used for the crystallographic analysis of carbide particles in white cast irons.

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Authors and Affiliations

M. Trepczyńska-Łent
T. Szykowny
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Abstract

The paper presents a solidification sequence of graphite eutectic cells of A and D types, as well as globular and cementite eutectics. The morphology of eutectic cells in cast iron, the equations for their growth and the distances between the graphite precipitations in A and D eutectic types were analyzed. It is observed a critical eutectic growth rate at which one type of eutectic transformed into another. A mathematical formula was derived that combined the maximum degree of undercooling, the cooling rate of cast iron, eutectic cell count and the eutectic growth rate. One type of eutectic structure turned smoothly into the other at a particular transition rate, transformation temperature and transformational eutectic cell count. Inoculation of cast iron increased the number of eutectic cells with flake graphite and the graphite nodule count in ductile iron, while reducing the undercooling. An increase in intensity of inoculation caused a smooth transition from a cementite eutectic structure to a mixture of cementite and D type eutectic structure, then to a mixture of D and A types of eutectics up to the presence of only the A type of eutectic structure. Moreover, the mechanism of inoculation of cast iron was studied.
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Authors and Affiliations

M. Górny
E. Fraś
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Abstract

The effect of combination grain refinement with AlTi5B1 master (55 ppm) and Sr-modification with AlSr5 master (20, 30, 40, 50 and 60 ppm) on the microstructure, tensile and hardness properties of AlSi7MgTi cast alloy were systematically investigated. Eutectic silicon was studied by optical and scanning electron microscopy after standard (0.5% HF) and deep etching (HCl). Morphology of eutectic Si changes from compact plate-like (as-cast state) to fibbers (after modification). Si-fibbers in samples with 50 and 60 ppm Sr coarsen probably as a result of over-modification. The optimum mechanical properties has the experimental material which was grain refined and modified with 40 ppm of Sr (UTS = 220.6 MPa; ductility = 6.1%, and 82.3 HBW 5/250/15).

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Authors and Affiliations

L. Kuchariková
E. Tillová
M.S. Bonek
M. Chalupová
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Abstract

The paper presents new non-ionic deep eutectic solvent (DES) composed of natural and non-toxic components i.e. guaiacol, camphor and levulinic acid in 1:1:3 molar ratio as a promising absorbent for removal of selected volatile organic compounds (VOCs) including dichloromethane, toluene, hexamethyldisiloxane and propionaldehyde from model biogas. The affi nity of DES for VOCs was determined as vapour-liquid coeffi cients and the results were compared with several well-known DESs based on quaternary ammonium salt as well as n-hexadecane and water. For new DES, the absorption process was carried out under dynamic conditions. The results indicate that non-ionic DES has high affi nity and capacity for VOCs being comparable to n-hexadecane. In addition, absorbed VOCs could be easily desorbed from DES using activated carbon and absorbent could be re-use minimum fi ve times without significant loss of absorption capacity.
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Authors and Affiliations

Edyta Słupek
1
ORCID: ORCID
Patrycja Makoś
1
Jacek Gębicki
1
ORCID: ORCID

  1. Gdansk University of Technology, Faculty of Chemistry, Department of Process Engineering and Chemical Technology, Gdańsk, Poland
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Abstract

Cast iron destined for spheroidization is usually characterized by a near-eutectic chemical composition, which is a result of the necessity of maintaining its high graphitizing ability. This graphitizing ability depends mainly on the chemical composition but also on the so-called physical-chemical state. This, in turn, depends on the melting process history and the charge structure. It happens quite often, that at very similar chemical compositions cast irons are characterized by different graphitizing abilities. The hereby work concerns searching for the best method of assessing the graphitizing abilities of near-eutectic cast iron. The assessment of the graphitizing ability was performed for cast iron obtained from the metal charge consisting of 100% of special pig iron and for synthetic cast iron obtained from the charge containing 50% of pig iron + 50% of steel. This assessment was carried out by a few methods: wedge tests, thermal analysis, microstructure tests as well as by the new ultrasonic method. The last method is the most sensitive and accurate. On the basis of the distribution of the wave velocity, determined in the rod which one end was cast on the metal plate, it is possible to determine the graphitizing ability of cast iron. The more uniform structure in the rod, in which directional solidification was forced and which had graphite precipitates on the whole length, the higher graphitizing ability of cast iron. The homogeneity of the structure is determined by the indirect ultrasonic method, by measurements of the wave velocity. This new ultrasonic method of assessing the graphitizing ability of cast iron of a high Sc (degree of eutectiveness) and CE (carbon equivalent) content, can be counted among fast technological methods, allowing to assess the cast iron quality during the melting process.
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Bibliography

[1] Janerka, K. (2010). Carburizing of iron alloys. Gliwice: Wydawnictwa Politechniki Śląskiej. (in Polish).
[2] Janerka, K. (2019). The rate effectiveness of carbonization to the sort of carburizer. Archives of Foundry Engineering. 7(4), 95-100.
[3] Karsay, S.J. (1992). Ductile Iron I, Production. Canada: QIT –Fer & Titane.
[4] Fraś, E., Podrzucki, Cz. (1981). Modified cast iron. Kraków: Skrypt AGH. (in Polish).
[5] Riposan, I., Chisamera, M., Stan, S., Adam, N. (2004). Influencing Factors on the High Purity - Steel Scrap Optimum Ratio in Ductile Iron Production. Ductile Iron News. 2, 10-19.
[6] Riposan, I., Chisamera, M., Stan, S., Constantin, V., Adam, N. & Barstow, M. (2006). Beneficial remnant effect of high purity pig iron in industrial production of ductile iron. AFS Transactions. 114, 657-666.
[7] Fraś, E. (1978). Przegląd Odlewnictwa. 6,133. (in Polish).
[8] Podrzucki, Cz. (1991). Cast iron - structure - properties – application. Kraków: Wyd. ZG STOP. (in Polish).
[9] Podrzucki, Cz., Falęcki, Z., Wiśniewski, B. (1966). Przegląd Odlewnictwa. 7-8, 248. (in Polish).
[10] ASTM Standards of iron casting, (1957). Tentative methods of testing of cast iron. 76, A 367-55T.
[11] Podrzucki Cz., Kalata Cz. (1976). Metallurgy and iron founding. Katowice: Wyd. Śląsk. (in Polish).
[12] Zych ,J. (2000). The study of the sensitivity of cast iron to the cooling rate using the ultrasonic method. Solidification of Metals and Alloys. 43, 543-552. (in Polish).
[13] Zych, J. (2001). Multi-stage, ultrasonic control of the ductile iron castings production process. Archives of Foundry. 1(1/2), 227-235. (in Polish).
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Authors and Affiliations

J. Zych
1
ORCID: ORCID
M. Myszka
1
T. Snopkiewicz
1

  1. AGH University of Science and Technology, Faculty of Foundry Engineering, Department of Moulding Materials, Mould Technology and Cast Non-Ferrous Metals, Al. Mickiewicza 30, 30-059 Kraków, Poland
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Abstract

In order to determine the leading phase of the Fe - 4.25% C eutectic alloy, the method of directional crystallization, which allows to study the character of the solid / liquid growth front, was used. Examined eutectic was directionally solidified with a constant temperature gradient of G = 33,5 K/mm and growth rate of v = 125 μm/s (450 mm/h). The Bridgman technique was used for the solidification process. The sample was grown by pulling it downwards up to 30 mm in length. The alloy quenched by rapid pulling down into the Ga-In-Sn liquid metal. The sample was examined on the longitudinal section using a light microscope and scanning electron microscope. The shape of the solid/liquid interface and particularly the leading phase protrusion were revealed. The formation of the concave – convex interface has been identified in the quasi-regular eutectic growth arrested by quenching. The cementite phase was determined to be a leading phase. The total protrusion d is marked in the adequate figure.

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Authors and Affiliations

M. Trepczyńska-Łent
ORCID: ORCID
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Abstract

The current work is dedicated to the mathematical description of a protrusion of the leading phase (cementite) over the wetting phase (austenite) observed during the author’s experiments in previous articles. A cementite protrusion is confirmed in the directionally solidified Fe-4.25% C eutectic alloy. The protrusion is defined due to the mass balance fulfilment. A coordinate system is attached to the solid/liquid interface, which is moving with the constant growth rate v.
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Bibliography

[1] E . Cadirli, H. Kaya, M. Gunduz, Materials Research Bulletin 38, 1457-1476 (2003).
[2] G .J. Davies, Solidification and casting, Wiley (1973).
[3] V .L. Davies, Journal of the Institute of Metals 93, 10-14 (1964-65).
[4] M. Hillert, V.V. Subba Rao, Iron and Steel Intitute Publication 110, 204-212 (1968).
[5] D .M. Stefanescu, Eutectic solidification, Science and Engineering of Casting Solidification, Springer 207 (2015).
[6] E . Fraś, Krystalizacja metali, Wydawnictwo Naukowo Techniczne, Warszawa (2003).
[7] M. Trepczyńska-Łent, Archives of Foundry Engineering 13 (3), 101-106 (2013).
[8] M. Trepczyńska-Łent, Archives of Metallurgy and Materials 58 (3), 987-991. (2013). DOI : https://doi.org/10.2478/amm-2013-0116
[9] M. Trepczyńska-Łent, Archives of Foundry Engineering 16 (4), 169-174 (2016). DOI : https://doi.org/10.1515/afe-2016-0104
[10] M. Trepczyńska-Łent, Archives of Metallurgy and Materials 62 (1), 365-368 (2017). DOI : https://doi.org/10.1515/amm-2017-0056
[11] M. Trepczyńska-Łent, Crystal Research and Technology 52 (7), 1600359 (2017). DOI : https://doi.org/10.1002/crat.201600359
[12] M. Trepczyńska-Łent, Archives of Foundry Engineering 19 (4), 113-116 (2019).
[13] E . Guzik, A model of irregular eutectic growth taking as an example the graphite eutectic in Fe-C alloys. Dissertations Monographies 15, AGH Kraków (1994).
[14] P . Magnin, W. Kurz, Acta Metall. 35, 1119 (1987).
[15] J.D Hunt., K.A Jackson, Trans Metall. Soc. AI ME 236, 843-852 (1966).
[16] K .A. Jackson, J.D. Hunt, Transactions of the Metallurgical Society of AI ME 236, 1129-1142 (1966).
[17] W Wołczyński, Defect and Diffusion Forum 272, 123-138 (2007).
[18] W. Wołczyński, Archives of Metallurgy and Materials 63 (1), 65-72 (2018).
[19] G .A Chadwick, Eutectic Alloy Solidification, Chapter 2 in: Progress in Materials Science. Pergamon Press, Headington Hill Hall, Oxford (1964).
[20] W. Wołczyński, Crystal Research and Technology 25 (1), 1303- 1309 (1990).
[21] W. Wołczyński, Archives of Metallurgy and Materials 65 (2), 653-666 (2020). DOI : https://doi.org/10.24425/amm.2020.132804
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Authors and Affiliations

M. Trepczyńska-Łent
1
ORCID: ORCID

  1. UTP University of Science and Technology, Mechanical Engineering Faculty, Bydgoszcz, Poland
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Abstract

In Part I of this article, two-stage solidification model was presented. In this part we use our model to simulate solidification of the Al 7% Si alloy for two cooling rates and . Simulations have been performed for two eutectic transformation modes, typical for modified and unmodified alloys. Obtained cooling curves are qualitatively consistent with the typical cooling curves for modified and unmodified alloys. Moreover, evolution of cooling-curve characteristics is compared with the analytical model and found to be in close agreement.

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Authors and Affiliations

E. Gawrońska
O. Wodo
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Abstract

Studies were conducted on a zinc coating produced on the surface of ductile iron grade EN-GJS-500-7 to determine the eutectic grain

effect. For this purpose, castings with a wall thickness of 5 to 30 mm were made and the resulting structure was examined. To obtain a

homogeneous metal matrix, samples were subjected to a ferritising annealing treatment. To enlarge the reaction surface, the top layer was

removed from casting by machining. Then hot dip galvanising treatment was performed at 450°C to capture the kinetics of growth of the

zinc coating (in the period from 60 to 600 seconds). Analysing the test results it was found that within the same time of hot dip

galvanising, the differences in the resulting zinc coating thickness on samples taken from castings with different wall cross-sections were

small but could, particularly for shorter times of treatment, reduce the continuity of the alloyed layer of the zinc coating.

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Authors and Affiliations

D. Kopyciński
E. Guzik
A. Szczęsny
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Abstract

Some eutectic stripes have been generated in a hexagonal (Zn) - single crystal. The stripes are situated periodically with the constant interstripes

spacing. The eutectic structure in the stripes consists of strengthening inter-metallic compound, Zn16Ti, and (Zn) – solid solution.

The rod-like irregular eutectic structure (with branches) appears at low growth rates. The regular lamellar eutectic structure is observed at

middle growth rates. The regular rod-like eutectic structure exists exclusively in the stripes at some elevated growth rates. A new

thermodynamic criterion is recommended. It suggests that this eutectic regular structure is the winner in a morphological competition for

which the minimum entropy production is lower. A competition between the regular rod-like and the regular lamellar eutectic growth is

described by means of the proposed criterion. The formation of branches within irregular eutectic structure is referred to the state of

marginal stability. A continuous transitions from the marginal stability to the stationary state are confirmed by the continuous

transformations of the irregular eutectic structure into the regular one.

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Authors and Affiliations

J. Szajnar
W. Wołczyński
S. Kjelstrup
D. Bedeaux
B. Billia
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Abstract

A eutectic reaction is a basic liquid-solid transformation, which can be used in the fabrication of high-strength in situ composites.

In this study an attempt was made to ensure directional solidification of Fe-C-V alloy with hypereutectic microstructure. In this alloy, the

crystallisation of regular fibrous eutectic and primary carbides with the shape of non-faceted dendrites takes place. According to the data

given in technical literature, this type of eutectic is suitable for the fabrication of in-situ composites, owing to the fact that a flat

solidification front is formed accompanied by the presence of two phases, where one of the phases can crystallise in the form of elongated

fibres.

In the present study an attempt was also made to produce directionally solidifying vanadium eutectic using an apparatus with a very high

temperature gradient amounting to 380 W/cm at a rate of 3 mm/h. Alloy microstructure was examined in both the initial state and after

directional solidification. It was demonstrated that the resulting microstructure is of a non-homogeneous character, and the process of

directional solidification leads to an oriented arrangement of both the eutectic fibres and primary carbides.

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Authors and Affiliations

M. Górny
M. Kawalec
G. Sikora
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Abstract

Directional solidification of the Fe - 4,3 wt % C alloy was performed with the pulling rate equal to v=83 μm/s. Sample was frozen during

solidification to reveal the shape of the solid/liquid interface. Structures eutectic pyramid and spherolitic eutectic were observed. The

solidification front of ledeburite eutectic was revealed. The leading phase was identified and defined.

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Authors and Affiliations

M. Trepczyńska-Łent
E. Olejnik
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Abstract

This article focuses on the study of the influence of remelting and subsequent natural and artificial ageing on the structure of recycled AlSi9Cu3 alloy with increased iron content. The assessed changes in eutectic silicon and iron-based intermetallic phases were carried out using optical and scanning electron microscopy. The degradation of the eutectic silicon morphology due to remelting occurred only at the highest numbers of remelting. The effect of remelting the investigated alloy, which is accompanied by a gradual increase in wt. % Fe, began to manifest significantly through a change in the length of the ferric phases after the fourth remelting. As expected, the artificial ageing process has proven to be more effective than natural ageing. It has led to a change in the eutectic silicon morphology and has been beneficial in reducing the lengths of adverse ferric phases. The use of alloys with higher numbers of remelting, or with greater “contamination”, for the manufacture of shape-challenging castings is possible when using a suitable method of eliminating the negative factors of the remelting process. The results of our investigation show a suitable method of the above elimination the application of heat treatment T5 – via artificial ageing.

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Authors and Affiliations

M. Matejka
D. Bolibruchová
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Abstract

The paper presents adaptation problem of lamellar/rod growth of eutectic. The transformation of eutectic microstructure was investigated systematically. A interpretation of the eutectic growth with theory minimum entropy production was presented.

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Authors and Affiliations

M. Trepczyńska-Łent
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Abstract

The paper presents a new numerical model of solidification processes in hypoeutectic alloys. The model combines stochastic elements, such as e.g. random nucleation sites and orientation of dendritic grains, as well as deterministic methods e.g. to compute velocity of dendritic tips and eutectic grains. The model can be used to determine the temperature and the size of structure constituents (of both, the primary solid phase and eutectics) and the arrangement of individual dendritic and eutectic grains in the consecutive stages of solidification. Two eutectic transformation modes, typical to modified and unmodified hypoeutectic alloys, have been included in the model. To achieve this, cellular automata and Voronoi diagrams have been utilized.

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Authors and Affiliations

E. Gawrońska
O. Wodo
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Abstract

In a vacuum Bridgman-type furnace, under an argon atmosphere, directionally solidified sample of Fe - C alloy was produced. The pulling

rate was v = 83 μm/s (300 mm/h) and constant temperature gradient G = 33,5 K/mm. The microstructure of the sample was examined on

the longitudinal section using an Optical Microscope and Scanning Electron Microscope. The X-ray diffraction and electron backscatter

diffraction technique (EBSD) have been used for the crystallographic analysis of carbide particles in carbide eutectic. The

X-ray diffraction was made parallel and perpendicular to the axis of the goniometer. The EBSD shows the existence of iron carbide Fe3C

with orthorhombic and hexagonal structure. Rapid solidification may cause a deformation of the lattice plane which is indicated by

different values of the lattice parameters. Such deformation could also be the result of directional solidification. Not all of the peaks in

X–ray diffractograms were identified. They may come from other iron carbides. These unrecognized peaks may also be a result of the

residual impurity of alloy.

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Authors and Affiliations

M. Trepczyńska-Łent
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Abstract

The entropy production per unit time is calculated for the regular lamellae -, and for the regular rods formation, respectively. The entropy production is a function of some parameters which define the eutectic phase diagram, coefficient of the diffusion in the liquid, and some capillary parameters connected with the mechanical equilibrium located at the triple point of the solid/liquid interface. Minimization of the entropy production allowed to formulate mathematically the so-called Growth Law for both envisaged eutectic morphologies.

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Authors and Affiliations

W. Wołczyński
ORCID: ORCID
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Abstract

In this study, the effects of grain size refiner addition and various pre-heating mold temperatures on AlSi9 cast alloy microstructure and solidification have been evaluated. For different process conditions, thermal analysis was performed for all samples and cooling curves were established. Important parameters in liquidus and eutectic Si-phase regions have been calculated using the first derivative cooling curves. Secondary Dendrite Arm Spacing (SDAS) variation was also determined. Experimental results question the effectiveness of cooling curve parameters in providing the microstructure data as a function of refinement. The present work shows that the effect of grain refiner addition on the value of SDAS was higher when the solidification time was lower. It indicated that the solidification parameters such as nucleation temperatures of α-Al phase, undercooling temperature and total solidification time were affected by grain refinement. It has been found that the addition of grain refiner affect the eutectic phase formation time. However, it has no effect on the eutectic phase morphology.

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Authors and Affiliations

Badiâ Ait El Haj
Aboubakr Bouayad
Mohammed Alami
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Abstract

In the present investigation, the influence of addition of the rare earth element samarium (Sm) in different concentrations (0, 0.1, 0.3, 0.5, 0.7 and 0.9wt.%) on the microstructure and tensile properties of the Al-Si-Cu 319 alloy have been evaluated. Microstructural constituents such as SDAS of α-Al and characteristics of eutectic silicon particles were observed by optical microscopy. It was concluded from the findings that Sm addition reduces the size of secondary dendrite arm spacings (SDAS) and altered the morphology of the eutectic silicon particles from needle-like to lamellar and smaller segments. The tensile properties of the Al-Si-Cu 319 alloy improved with the concentration of Sm. It was found that the highest tensile properties were obtained at 0.7wt.% addition of Sm, i.e., 55.5% higher than unmodified 319 alloy. With the further addition of the Sm above 0.7wt.%, it does not improve the tensile properties of the alloy. This can be attributed to the precipitation of the brittle and needle like quaternary Sm-rich intermetallic compounds observed through Scanning electron microscopy.
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Bibliography

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[7] Sigworth, G.K. (2008). The modification of Al-Si casting alloys: important practical and theoretical aspects. International Journal of Metalcasting. 2(2), 19-40. https://doi.org/10.1007/BF03355425.
[8] Mahmoud, M.G., Zedan, Y., Samuel, A.M., Doty, H.W., Songmene, V. & Samuel, F.H. (2021). Effect of rare earth metals (Ce and La) addition on the performance of Al-Si-Cu-Mg Cast Alloys. International Journal of Metalcasting. 1-27. https://doi.org/10.1007/s40962-021-00669-6.
[9] Mahmoud, M.G., Zedan, Y., Samuel, A.M., Songmene, V. & Samuel, F.H. (2022). The use of rare earth metals in Al–Si–Cu casting alloys. International Journal of Metalcasting. 16(2), 535-552. https://doi.org/10.1007/s40962-021-00640-5.
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Authors and Affiliations

D.N. Patel
1
M.P. Sutaria
1
ORCID: ORCID

  1. Department of Mechanical Engineering, Chandubhai S. Patel Institute of Technology, Charotar University of Science and Technology (CHARUSAT), Changa, Anand-388421, Gujarat, India

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