# The Effects of Process Parameters on Evolutions of Thermodynamics and Microstructures for Composite Extrusion of Magnesium Alloy

Authors: H.-J. Hu
Journal: Advances in Materials Science and Engineering
 (2013)

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## Abstract

To research the effects of process parameters on evolutions of extrusion force and temperature rise and microstructures for composite extrusion of magnesium alloy which includes initial extrusion and shearing process subsequently and is shortened for “ES” in this paper, the ES extrusion process has been researched by using finite element modeling (FEM) technology. The rules of temperature rise and the extrusion force varying with process parameters have been developed. The thermal-mechanical coupling finite element models including the geometric and FEM models and solution conditions were applied to calculate the effective strain and temperature and extrusion force during ES extrusion. The maximum temperature rises in the billets do not increase with billet temperature rising. The temperature of rod surface increased continuously with development of ES extrusion. The evolutions of extrusion load curve and effective stress and temperature can be divided into three stages obviously. Extrusion experiments have been constructed to validate the FEM models with different process conditions. The simulation results and microstructure observation showed that ES process can introduce compressive and accumulated shear strain into the magnesium alloy. The ES extrusion would cause severe plastic deformation and improve the dynamic recrystallization during ES extrusion. The microstructures show that ES is an efficient and inexpensive grain refinement method for magnesium alloys.


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## Body

## 1. Introduction

The specific strength of magnesium alloys is high, and use of magnesium parts would cause weight saving of around 30% and 70% compared to aluminum and steel, respectively. Currently, market for magnesium alloys is fast expanding from automobiles to electronic applications. Structural applications normally require energy absorption materials with reasonable elongation, high yield strength, and high impact energy. In recent years, bulk nanostructure materials processed by severe plastic deformation (SPD) such as equal channel angular extrusion (ECAE) have attracted the growing interest of specialists in materials science. The important phenomena observed in of ECAE process for magnesium alloys are the DRX (dynamic recrystallization) and DRV (dynamic recovery), which could improve the workability of the material at elevated temperatures. M. Furui et al. have researched the influences of preliminary extrusion conditions on the superplastic properties of a magnesium alloy two-phase Mg-8% Li processed by ECAP in three different conditions including cast condition, cast + extrude condition, and cast + extrude + ECAP condition [1]. It is shown that it is advantageous to use a die with a channel angle of 135° because it permits pressing at room temperature where grain growth is limited. Ding et al. used three processing routes of equal channel angular extrusion (ECAE) to process Mg alloy [2]. Tensile strengths, grain sizes, and textures of these processed billets were measured to investigate the effect of processing route on the mechanical properties and the strengthening mechanism. Route A is the only route that can increase the strength by ECAE. A multiple-temperature ECAE procedure has been developed to produce high-strength Mg alloy, which is a combined result of submicron grain structure and texture strengthening.But the ECAP process is only used in the laboratory and preparation for nanocrystalline material, there exists an unbridgeable gap between the experiments and industrial applications. The productivity of ECAP in industrial manufacturing is very low; ECAP usually involves many steps and is not easily applied from the laboratory to an industry, for it is not a continuous process, but the dimension of extruded rods is the same as that of initial billets. Although ECAP technology has been invented as early as 1980s, the process did not progress as much as one would desire and is still confined to the laboratory scale experiments. Figueiredo et al. used a new processing procedure to extrude a cast Mg-9% Al alloy involving the sequential application of extrusion and equal channel angular pressing. Experiments showed that the Mg-9% Al alloy has an initial grain size of ~50μm after casting but this was reduced to ~12 μm after extrusion and it was further reduced to ~0.7 μm when the extruded alloy was subjected to ECAP for 2 passes at 473 K [3]. Although the cast alloy exhibits extremely limited ductility and the extruded alloy was only moderately ductile, the research results demonstrated that processing by EX-ECAP could produce excellent superplastic ductility. But EX-ECAP usually includes more than 2 steps, and the material endures intricate diversification of forming environments including process temperature and may be oxidized.The paper written by Orlov et al. demonstrated the feasibility of severe plastic deformation (SPD) techniques which combine conventional extrusion and equal channel angular pressing in a single process [4]. The processed material exhibited an excellent balance of strength and tensile ductility. It had yield strength of 310 MPa and the ultimate tensile strength of 351 MPa. The total elongation of 17.1% was about 2.5 times and the reduction in area of 42.5% was more than 10 times larger than the corresponding values in the as-received condition. Composite extrusion method for magnesium alloy has been presented which combines the traditional extrusion and the severe plastic deformation ECAP (equal channel anger pressing); that is to say, extrusion and shearing (one or more than one) are combined (referred to as ES in this paper). The ES may improve the industrialization preparation and processing of magnesium alloy rods (profiles). The ES extrusion is also continuous extrusion process. In order to secure a process with a sustainably high level of accuracy, tools must be precisely adjusted and utilized. In addition, process parameters must be carefully checked in order to ensure a high level of quality in production.It is accepted that the magnesium material properties are closely correlated to the microstructures, for the influence of the process conditions on the evolution of structure is very important from Chang et al. Process conditions include some extrusion parameters such as the extrusion speed, the initial temperature, and friction and heat transfer of the billet, container, and die and have great effects on the grains structure [5].To illustrate the potential industrial application of the ES extrusion, ES die used in the horizontal extruder has been designed and manufactured, and the experiments of ES extrusion have been done. Controlling the submicrostructures distribution in the final products is a challenging and demanding task for the ES extrusion industry. The aims of the present study are to reveal the microstructures’ evolution and clarify the grain refinement mechanism for AZ31 magnesium alloy during ES process. The present studies employ DEFORM-3D finite element software to simulate the extrusion forces, temperature distributions, and strain evolution during ES extrusion. The microstructures of AZ31 Mg alloy sampled from ES extruded rods have been observed. Deformed microstructure evolutions of the ES process for AZ31 magnesium alloy have been studied in order to analyze the deformation mechanisms.


## 2. Simulation and Experimental Conditions of ES Process

### 2.1. Simulation Conditions

The longitudinal section schematic diagram of ES extrusion is schematically shown in Figure1. The die includes direction extrusion with extrusion ratio of 32.1 and two steps of equal channel angular processing (ECAP) with 120° corner angle. Figure 1 shows each stage that ES extrusion process is divided into: (a) direction extrusion stage, (b) first shearing, and (c) second shearing. The model has been established symmetrically. A larger amount of shear deformation by ES extrusion can be introduced than that by direct extrusion with the same extrusion ratio.Figure 1
ES die and billet (a) direction extrusion stage, (b) first shearing, and (c) second shearing.The billets and the die in experiment have identical geometrical parameters and material with those in simulations. The AZ31 magnesium materials should be preheated; the ram and the lubricated die in the furnace have been heated for 2 hours before the actual extrusion process. The ES extrusion is then employed to extrude the magnesium alloy rods. Real extrusion experiments have been carried out by employing a 500-ton press with a resistance-heated container and a heater. The die material, die dimensions, billet dimensions, and extrusion conditions are all the same as those used in numerical simulation as described in Table2. The billet has been heated in an external furnace up to 420°C and transported into the container at a preset temperature of 400°C to avoid too much heat dissipation, and then extrusion started immediately. Ram speed is 2 mm/s during experimental verification. The physical property of AZ31B is given in Table 1. Simulation and experimental parameters are shown in Table 2.Table 1
Physical properties of the AZ31 workpiece.
Property
AZ31
Heat transfer coefficient between tooling and billet (N/°C s mm2)
11
Heat transfer coefficient between tooling/billet and air (N/°C s mm2)
0.02
Poisson’s ratio
0.35
Coefficient  of linear expansion
26.8
E
-
6
Density (Kg·m−3)
1780
Poison’s ratio
0.35
Young’s modulus (Map)
45000
Emissivity
0.12Table 2
Simulation and experimental parameters.
Billet length (mm)
100
Billet diameter (mm)
80
Insider diameter of container (mm)
85
Outside diameter of container (mm)
110
Die bearing length (mm)
5
Extrusion ratio
32.1
Initial billet temperature (°C)
380,400,420
Initial tooling temperature (°C)
380,400,420
Temperature range for flow stress measurement (°C)
400–450
Ram speed (mm/s)
1,2
,
5,10
Friction factor of the container-billet interface
0.1,0.4
Friction factor between the billet and die
0.1,0.4
Total number of elements
20000
Minimum size of element (mm)
1
Mesh density type
Relative
Relative interference depth
0.7Axial compression testing for hot workability analysis was carried out using a Gleeble 1500 D machine. Graphite foils were placed between the billet and die for lubrication. At a constant strain rate ranging from 0.01 to 10 s−1 and at an initial temperature between 250 and 500°C, the specimen was resistance-heated through a thermocouple sending feedback signals to control the AC current. The flow stress curves measured in these tests were corrected and a set of flow stress-strain curves are shown in Figure 2 as examples with strain rate of 0.1 s−1 and the different preset temperatures 250°C, 300°C, 350°C, and 400°C. The data were input into the material property module of the DEFORM-3D software.Figure 2
True stress/true strain curves obtained from the compression tests with strain rate 0.1 s−1 and the different preset temperatures 250°C, 300°C, 350°C, and 400°C.


### 2.2. Experimental Setup and Tests

The billets have been heated in an electric furnace and soaked for one hour, and the container was heated to working temperature by resistance-heated device. The billets have been heated 20°C more to decrease the heat loss during handling from the furnace to the container. Billet preheated temperatures of 420 have been used. The initial container and die temperature as well as the ram speed were 400°C and 2 mm/s, respectively. To preserve the achieved microstructure of the rod after extrusion, the samples have been water quenched for a handling time of approximately 3 s. Subsequently, some specimens have been taken from different positions in the rod, and all the samples were taken from the center of rod. The polished surface has been etched using either a solution of 1 vol% HNO3, 24 vol% C2H6O2, and 75 vol% H2O or of 10 mL acetic acid, 4.2 g picric acid, 10 mL H2O, or 70 mL ethanol. Microstructure observations have been carried out using PME OLYMPUS TOKYO-type optical microscope (OM).


## 2.1. Simulation Conditions

The longitudinal section schematic diagram of ES extrusion is schematically shown in Figure1. The die includes direction extrusion with extrusion ratio of 32.1 and two steps of equal channel angular processing (ECAP) with 120° corner angle. Figure 1 shows each stage that ES extrusion process is divided into: (a) direction extrusion stage, (b) first shearing, and (c) second shearing. The model has been established symmetrically. A larger amount of shear deformation by ES extrusion can be introduced than that by direct extrusion with the same extrusion ratio.Figure 1
ES die and billet (a) direction extrusion stage, (b) first shearing, and (c) second shearing.The billets and the die in experiment have identical geometrical parameters and material with those in simulations. The AZ31 magnesium materials should be preheated; the ram and the lubricated die in the furnace have been heated for 2 hours before the actual extrusion process. The ES extrusion is then employed to extrude the magnesium alloy rods. Real extrusion experiments have been carried out by employing a 500-ton press with a resistance-heated container and a heater. The die material, die dimensions, billet dimensions, and extrusion conditions are all the same as those used in numerical simulation as described in Table2. The billet has been heated in an external furnace up to 420°C and transported into the container at a preset temperature of 400°C to avoid too much heat dissipation, and then extrusion started immediately. Ram speed is 2 mm/s during experimental verification. The physical property of AZ31B is given in Table 1. Simulation and experimental parameters are shown in Table 2.Table 1
Physical properties of the AZ31 workpiece.
Property
AZ31
Heat transfer coefficient between tooling and billet (N/°C s mm2)
11
Heat transfer coefficient between tooling/billet and air (N/°C s mm2)
0.02
Poisson’s ratio
0.35
Coefficient  of linear expansion
26.8
E
-
6
Density (Kg·m−3)
1780
Poison’s ratio
0.35
Young’s modulus (Map)
45000
Emissivity
0.12Table 2
Simulation and experimental parameters.
Billet length (mm)
100
Billet diameter (mm)
80
Insider diameter of container (mm)
85
Outside diameter of container (mm)
110
Die bearing length (mm)
5
Extrusion ratio
32.1
Initial billet temperature (°C)
380,400,420
Initial tooling temperature (°C)
380,400,420
Temperature range for flow stress measurement (°C)
400–450
Ram speed (mm/s)
1,2
,
5,10
Friction factor of the container-billet interface
0.1,0.4
Friction factor between the billet and die
0.1,0.4
Total number of elements
20000
Minimum size of element (mm)
1
Mesh density type
Relative
Relative interference depth
0.7Axial compression testing for hot workability analysis was carried out using a Gleeble 1500 D machine. Graphite foils were placed between the billet and die for lubrication. At a constant strain rate ranging from 0.01 to 10 s−1 and at an initial temperature between 250 and 500°C, the specimen was resistance-heated through a thermocouple sending feedback signals to control the AC current. The flow stress curves measured in these tests were corrected and a set of flow stress-strain curves are shown in Figure 2 as examples with strain rate of 0.1 s−1 and the different preset temperatures 250°C, 300°C, 350°C, and 400°C. The data were input into the material property module of the DEFORM-3D software.Figure 2
True stress/true strain curves obtained from the compression tests with strain rate 0.1 s−1 and the different preset temperatures 250°C, 300°C, 350°C, and 400°C.


## 2.2. Experimental Setup and Tests

The billets have been heated in an electric furnace and soaked for one hour, and the container was heated to working temperature by resistance-heated device. The billets have been heated 20°C more to decrease the heat loss during handling from the furnace to the container. Billet preheated temperatures of 420 have been used. The initial container and die temperature as well as the ram speed were 400°C and 2 mm/s, respectively. To preserve the achieved microstructure of the rod after extrusion, the samples have been water quenched for a handling time of approximately 3 s. Subsequently, some specimens have been taken from different positions in the rod, and all the samples were taken from the center of rod. The polished surface has been etched using either a solution of 1 vol% HNO3, 24 vol% C2H6O2, and 75 vol% H2O or of 10 mL acetic acid, 4.2 g picric acid, 10 mL H2O, or 70 mL ethanol. Microstructure observations have been carried out using PME OLYMPUS TOKYO-type optical microscope (OM).


## 3. Research Results and Discussion

### 3.1. Temperature Evolution

During the ES extrusion process, temperatures of the die exit are affected by many parameters including initial billet temperatures, ES extrusion speeds, extrusion ratios, and friction factors between the billet and die. The heat generated by the ES extrusion and friction factors significantly increases the temperatures of the rod and microstructures and mechanical properties. The temperature rise also influences the surface quality of the extruded rods, which is of prime importance in many industrial extrusion processes. Because ES extrusion is a nonlinear process involving high inhomogeneous deformation and high strain rate, it is difficult to predict the temperature of billet analytically. If we neglect the temperature gradients and the deformation material is considered as a thin plate, the average instantaneous temperature of the deformed material at the interface is given by the following [6]:
(1)T=T1+(T0-T1)exp(-htρcδ),
where T0 is initial temperature for the workpiece, T1 is temperature for the die, h is heat transfer coefficient between the material and the dies, and δ is material thickness between the dies. If the temperature increase due to deformation and friction is included, the final average material temperature Tm at a time t is as follows [7]:
(2)Tm=Td+Tf+T,
where Td is temperature for frictionless deformation process and Tf is temperature increase due to friction. According to energy conservation principle, mathematical models of temperature rise as (3) have been established in the ES deformation zone [8]:
(3)ΔT=(0.29f+0.9ε)σsCρ+h,
where ε is the effective strain.ES die extrusion is divided into four steps according to material flow which is shown in Figure3. Firstly, the billet is compressed and initial billet is compressed into the die entrance. Secondly, the extrude material is formed and the final rod diameter was obtained during direction extrusion stage. Thirdly, the formed rod is sheared by the first turn angle in first shearing step and the rod is sheared at the second turn angle.AZ31 material flow for ES process, extrusion stages of ES die: (a) direction extrusion stage, (b) first shearing, and (c) second shearing.
(a)
(b)
(c)Figure4 shows the temperature contour lines in the extruded rods at a ram speed of 2 mm/s and the displacements are 17.095 mm and 18.816 mm corresponding to direction extrusion stage and the first shearing stage of the process, respectively. Comparison of the temperature distributions at these two positions demonstrates the thermal characteristics within the billet and the heat transfer from the deformation zone in front of the die towards the outsides of the billet. Figure 4(a) shows that the temperatures of the billet at the beginning of the process are various and below the initial billet temperature 420°C if heat is produced in the extrusion zone and temperature gradients are formed. Obviously, this is due to heat loss to the ES die with its initial temperature of 400°C which is lower than the initial temperature of billets. The heat flows along the radial direction and the axial direction in the billet. It is apparent that heat has already been conducted toward the periphery and the rear end of the billet. Temperatures of half billet are below the initial billet temperature in Figure 4(b); the reasons are the results of time available for continuous heat loss to the ES die and through the die of the ambient surround.Temperature contours in the billet extruded at a ram speed of 2 mm/s and at the displacements of (a) 17.095 mm and (b) 18.816 mm.
(a)
(b)The temperature evolution in the billet (initial temperature: 420°C) as the extrusion proceeds steady state is shown in Figure5. It is clear that the temperature of rod surface increases continuously with development of ES extrusion. The factors to increase the temperature during the ES process are (1) heat transfer from die and punch, (2) friction between the rod material and die, and (3) plastic deformation during the ES forming process.Figure 5
Temperature distribution in the billet during the extrusion process at the steady state regime (initial billet temperature of 420°C, ram speed of 2 mm/s).The maximum temperatures varying with extrusion time and billet preheated temperatures at the exit of extrusion die are compared and the results are shown in Figure6. It is noticed that the increases in maximum temperature predicted by the finite element simulations are not significant, but it is seen that the finite element simulation results vary with preheated temperatures. It is uniquely found that the increase in the maximum temperature is not significantly various. The reason for the lower temperature increments at higher forming temperatures is mainly due to lower temperature gradient between the die and billets. Since the temperature rise depends on the heat generated within the deformation zone. Heat generation depends on the internal power of deformation and frictional power. Variations of different parameters affect the power constituents which affect the heat generation within the deformation zone. Bigger surface temperatures may cause surface cracks and tears, for the tensile strength of the AZ31 rod is decreased.Figure 6
Maximum temperatures for various initial extrusion temperatures during ES extrusion through ES die and at ram speeds of 2 mm/s with preheated temperature 400–420°C.


### 3.2. Load-Stroke Curves with Different Friction Conditions

ES extrusion is a hot working process; the magnesium alloy may be heated over the recrystallization temperature. ES extrusions are done on horizontal hydraulic presses which range from 100 to 11,000 metric tons. As a result of FE analysis, Figure7 shows load-stroke curves for ES extrusion with different shear friction coefficients. The effects of friction coefficients on the extrusion forces have been obtained from the finite element simulations with various friction factors. In theory, friction energy of ES extrusion die is higher than that of ordinary extrusion die. In the case of ES extrusion die, because ES extrusion die has bigger plastic deformation zone than that of ordinary extrusion die, deformation energy of ES extrusion is bigger.Figure 7
ES extrusion loads for various friction factors.It is found that the effects of friction coefficients on the direct extrusion are not significant before extrusion time is 1.6 s as ES extrusion reaches steady state after 1.6 s. The extrusion forces increase more rapidly; maximum loads are 250 tons and 200 tons for friction coefficients 0.4 and 0.1, respectively. From these results, maximum loads of ES die increase as the friction coefficient rises. For larger friction coefficient, the increasing in the extrusion force can be clearly seen. It is indicated that extrusion force is very sensitive to variations of the friction coefficient, so it is necessary to carry lubrication into ES dies.


### 3.3. Extrusion Force Varying with Different Extrusion Speeds

Figure8 shows the extrusion force/extrusion time diagrams obtained at various extrusion speeds, which shows that the peak extrusion force increases with extrusion speed. It is observed that initially the load increases slowly because of the clearance between billet-container interfaces and the billets being first filled during the ES extrusion deformation gradually. Then, the extrusion force increases rapidly till the values are stable. The contact area of friction between billet and container wall becomes smaller, and the frictional forces become smaller correspondingly. With higher ram speeds, the breakthrough pressure is higher due to strain-rate hardening, and over the pressure peak, the slope of pressure decrease is steeper. The force decrease is attributed to a shortening billet and thus a decreasing friction force between the billet-container interfaces by the classic theory of metal extrusion.Figure 8
Extrusion force/extrusion time diagrams obtained at various extrusion speeds.


### 3.4. Microstructures Observation

After the extrusion process, the extruded rods have been quenched and investigated metallographically. Figure9(a) depicts the microstructure of the longitudinal section in the rod after ES extrusion is complete. After quenching, samples of extrusion temperatures show fully developed equiaxed small grains with large angle grain boundaries, which indicate the appearance of geometric dynamic recrystallization. Microstructure evolution has been observed according to the change in strain distribution and strain values. In region “A” in Figure 9(b), the strains are about 2.17–2.6; the grain structure and size are rather similar to the state prior to deformation, for the grains are deformed very little to a large extent. There are very small recrystallized grains in the extruded rods. The small refined grains can be attributed to partial dynamic recrystallization occurring during the direct extrusion period. As strain values increase to values above 4, more refined grains can be observed in region “B” (strain values about 3.89–4.33). At the heavily worked region such as region “B," the microstructures could be fully recrystallised. In region “C,” the strain values are about 0.9–1.4. It is noted that the final microstructures of the part are inhomogeneous, and there exists larger grain size or elongated grains, and typical fibrous structure with very long grains is aligned in the extrusion direction. In region “D,” the strain values are about 1.5–1.7, the microstructures are entirely refined and equiaxed grains, and full recrystallisation has taken place. Such observation of reduced grain size with increased strain may be attributed to dynamic recrystallization affected by effective strains, and higher strains can provide more nuclei per unit volume.Final microstructure of the extrudate at 420°C and strain distribution diagram obtained from FEA.
(a)
(b)The principle of ES process is to introduce compressive and accumulated shear strains into the magnesium alloy. The character of ES process is that the sample is subjected to two shear deformations. The accumulative strains of ES extrusion can be expressed as (4) which include accumulative strain of direct extrusion and two continuous ECAP steps [9]:
(4)ε=lnλ+2*[2cot((ϕ/2)+(ψ/2))+ψcsc((ϕ/2)+(ψ/2))3],
where ε is the accumulative strain, λ is the extrusion ratio, Φ is the inner corner angle, and Ψ is the outer corner angle.Figure10 shows the microstructures in four parts within rod formed by ES process. The microstructures appear as strips along the extrusion direction shown in Figure 10(a) in the extruded reducing zone. This indicates that the deformation degree is very small. The uniform deformation took place in the grains mainly and improved the formation of rod-like microstructures in Figure 10(b) while recrystallization occurred in a small number of grains. As the deformation continues, the width of the rod-like microstructures becomes narrow; a number of lamellar-structure twin grains appear in the grains shown in Figure 10(c), where partial crystallization has taken place in those positions. Rod-like and lamellar microstructures in the first shear zone began to reduce for the large shear strain caused by shear deformation in this zone, and the deformation grains were turned into recrystallization grains. In the secondary shear zone shown in Figure 10(d), dynamic recrystallization occurred sufficiently for bigger cumulative shearing strains, but there was still a small amount of fine grain bars in the center of the rod. Using ES extrusion process, the average grain size can be changed from 250 μm to 10 μm. The microstructures were not only clearly refined but also relatively uniform. This was because the ES process included two simple shear extrusion processes more than an ordinary extrusion so that the deformation degree of central part of rods increased and the part recrystallization occurred. Therefore, the microstructures became smaller and more homogeneous.Microstructures of AZ31 magnesium alloy in different parts of ES die(×400): (a) region “A”, (b) region “B”, (c) region “C”, and (d) region “D”.
(a)
(b)
(c)
(d)The relationship between the average recrystallization grain size (d) and the Zener-Hollomon parameter (Z) during dynamic recrystallization is given by (5) and (6) [10]. The Zener-Hollomon parameter is used to help describe high-temperature creep strain of a material such as steel. The Zener-Hollomon parameter is also known as the temperature-compensated strain rate:
(5)Z=έexp(QRT),(6)-lnd=A+BlnZ,
where έ is the strain rate, Q is the activation energy, R is the gas constant, T is the temperature, and A and B are constants.Dynamic recrystallization (DRX) is one of the interesting mechanisms of microstructure evolution. Grain refinement could be attributed to continuous dynamic recrystallization which involves a progressive increase in grain boundary disorientation and changes of low angle boundaries into high angle boundaries. The Zener-Hollomon parameter (Z) of first direct extrusion is equal to Z1, v1 is the extrusion speed, λ is the extrusion ratio, and R1 is the billet radius. The parameters were substituted into (7); hence, (8) is obtained:
(7)Z1=3v1R1lnλ.exp(QRT).And theZ parameters of the first and the second shearings are Z2, Z3, respectively:
(8)Z2=Z3=[2cot((ϕ/2)+(ψ/2))+ψcsc((ϕ/2)+(ψ/2))6].×v2ψR2exp(QRT),
where inner corner angle is (Φ), outer corner angle is (ψ), V1 is the speed of extruded rods, and R2 is radius of extruded rod.Based on the present ES processing with extrusion temperature of 420°C, from (5) to (8), it can be found that the accumulative strain increases with the extrusion advancing, so the grains will be refined consequently. It is clear that there is three-phase recrystallization during ES process. It can be found that the average sizes of grains for DRX were coarsened with the preheated temperature increasing.


## 3.1. Temperature Evolution

During the ES extrusion process, temperatures of the die exit are affected by many parameters including initial billet temperatures, ES extrusion speeds, extrusion ratios, and friction factors between the billet and die. The heat generated by the ES extrusion and friction factors significantly increases the temperatures of the rod and microstructures and mechanical properties. The temperature rise also influences the surface quality of the extruded rods, which is of prime importance in many industrial extrusion processes. Because ES extrusion is a nonlinear process involving high inhomogeneous deformation and high strain rate, it is difficult to predict the temperature of billet analytically. If we neglect the temperature gradients and the deformation material is considered as a thin plate, the average instantaneous temperature of the deformed material at the interface is given by the following [6]:
(1)T=T1+(T0-T1)exp(-htρcδ),
where T0 is initial temperature for the workpiece, T1 is temperature for the die, h is heat transfer coefficient between the material and the dies, and δ is material thickness between the dies. If the temperature increase due to deformation and friction is included, the final average material temperature Tm at a time t is as follows [7]:
(2)Tm=Td+Tf+T,
where Td is temperature for frictionless deformation process and Tf is temperature increase due to friction. According to energy conservation principle, mathematical models of temperature rise as (3) have been established in the ES deformation zone [8]:
(3)ΔT=(0.29f+0.9ε)σsCρ+h,
where ε is the effective strain.ES die extrusion is divided into four steps according to material flow which is shown in Figure3. Firstly, the billet is compressed and initial billet is compressed into the die entrance. Secondly, the extrude material is formed and the final rod diameter was obtained during direction extrusion stage. Thirdly, the formed rod is sheared by the first turn angle in first shearing step and the rod is sheared at the second turn angle.AZ31 material flow for ES process, extrusion stages of ES die: (a) direction extrusion stage, (b) first shearing, and (c) second shearing.
(a)
(b)
(c)Figure4 shows the temperature contour lines in the extruded rods at a ram speed of 2 mm/s and the displacements are 17.095 mm and 18.816 mm corresponding to direction extrusion stage and the first shearing stage of the process, respectively. Comparison of the temperature distributions at these two positions demonstrates the thermal characteristics within the billet and the heat transfer from the deformation zone in front of the die towards the outsides of the billet. Figure 4(a) shows that the temperatures of the billet at the beginning of the process are various and below the initial billet temperature 420°C if heat is produced in the extrusion zone and temperature gradients are formed. Obviously, this is due to heat loss to the ES die with its initial temperature of 400°C which is lower than the initial temperature of billets. The heat flows along the radial direction and the axial direction in the billet. It is apparent that heat has already been conducted toward the periphery and the rear end of the billet. Temperatures of half billet are below the initial billet temperature in Figure 4(b); the reasons are the results of time available for continuous heat loss to the ES die and through the die of the ambient surround.Temperature contours in the billet extruded at a ram speed of 2 mm/s and at the displacements of (a) 17.095 mm and (b) 18.816 mm.
(a)
(b)The temperature evolution in the billet (initial temperature: 420°C) as the extrusion proceeds steady state is shown in Figure5. It is clear that the temperature of rod surface increases continuously with development of ES extrusion. The factors to increase the temperature during the ES process are (1) heat transfer from die and punch, (2) friction between the rod material and die, and (3) plastic deformation during the ES forming process.Figure 5
Temperature distribution in the billet during the extrusion process at the steady state regime (initial billet temperature of 420°C, ram speed of 2 mm/s).The maximum temperatures varying with extrusion time and billet preheated temperatures at the exit of extrusion die are compared and the results are shown in Figure6. It is noticed that the increases in maximum temperature predicted by the finite element simulations are not significant, but it is seen that the finite element simulation results vary with preheated temperatures. It is uniquely found that the increase in the maximum temperature is not significantly various. The reason for the lower temperature increments at higher forming temperatures is mainly due to lower temperature gradient between the die and billets. Since the temperature rise depends on the heat generated within the deformation zone. Heat generation depends on the internal power of deformation and frictional power. Variations of different parameters affect the power constituents which affect the heat generation within the deformation zone. Bigger surface temperatures may cause surface cracks and tears, for the tensile strength of the AZ31 rod is decreased.Figure 6
Maximum temperatures for various initial extrusion temperatures during ES extrusion through ES die and at ram speeds of 2 mm/s with preheated temperature 400–420°C.


## 3.2. Load-Stroke Curves with Different Friction Conditions

ES extrusion is a hot working process; the magnesium alloy may be heated over the recrystallization temperature. ES extrusions are done on horizontal hydraulic presses which range from 100 to 11,000 metric tons. As a result of FE analysis, Figure7 shows load-stroke curves for ES extrusion with different shear friction coefficients. The effects of friction coefficients on the extrusion forces have been obtained from the finite element simulations with various friction factors. In theory, friction energy of ES extrusion die is higher than that of ordinary extrusion die. In the case of ES extrusion die, because ES extrusion die has bigger plastic deformation zone than that of ordinary extrusion die, deformation energy of ES extrusion is bigger.Figure 7
ES extrusion loads for various friction factors.It is found that the effects of friction coefficients on the direct extrusion are not significant before extrusion time is 1.6 s as ES extrusion reaches steady state after 1.6 s. The extrusion forces increase more rapidly; maximum loads are 250 tons and 200 tons for friction coefficients 0.4 and 0.1, respectively. From these results, maximum loads of ES die increase as the friction coefficient rises. For larger friction coefficient, the increasing in the extrusion force can be clearly seen. It is indicated that extrusion force is very sensitive to variations of the friction coefficient, so it is necessary to carry lubrication into ES dies.


## 3.3. Extrusion Force Varying with Different Extrusion Speeds

Figure8 shows the extrusion force/extrusion time diagrams obtained at various extrusion speeds, which shows that the peak extrusion force increases with extrusion speed. It is observed that initially the load increases slowly because of the clearance between billet-container interfaces and the billets being first filled during the ES extrusion deformation gradually. Then, the extrusion force increases rapidly till the values are stable. The contact area of friction between billet and container wall becomes smaller, and the frictional forces become smaller correspondingly. With higher ram speeds, the breakthrough pressure is higher due to strain-rate hardening, and over the pressure peak, the slope of pressure decrease is steeper. The force decrease is attributed to a shortening billet and thus a decreasing friction force between the billet-container interfaces by the classic theory of metal extrusion.Figure 8
Extrusion force/extrusion time diagrams obtained at various extrusion speeds.


## 3.4. Microstructures Observation

After the extrusion process, the extruded rods have been quenched and investigated metallographically. Figure9(a) depicts the microstructure of the longitudinal section in the rod after ES extrusion is complete. After quenching, samples of extrusion temperatures show fully developed equiaxed small grains with large angle grain boundaries, which indicate the appearance of geometric dynamic recrystallization. Microstructure evolution has been observed according to the change in strain distribution and strain values. In region “A” in Figure 9(b), the strains are about 2.17–2.6; the grain structure and size are rather similar to the state prior to deformation, for the grains are deformed very little to a large extent. There are very small recrystallized grains in the extruded rods. The small refined grains can be attributed to partial dynamic recrystallization occurring during the direct extrusion period. As strain values increase to values above 4, more refined grains can be observed in region “B” (strain values about 3.89–4.33). At the heavily worked region such as region “B," the microstructures could be fully recrystallised. In region “C,” the strain values are about 0.9–1.4. It is noted that the final microstructures of the part are inhomogeneous, and there exists larger grain size or elongated grains, and typical fibrous structure with very long grains is aligned in the extrusion direction. In region “D,” the strain values are about 1.5–1.7, the microstructures are entirely refined and equiaxed grains, and full recrystallisation has taken place. Such observation of reduced grain size with increased strain may be attributed to dynamic recrystallization affected by effective strains, and higher strains can provide more nuclei per unit volume.Final microstructure of the extrudate at 420°C and strain distribution diagram obtained from FEA.
(a)
(b)The principle of ES process is to introduce compressive and accumulated shear strains into the magnesium alloy. The character of ES process is that the sample is subjected to two shear deformations. The accumulative strains of ES extrusion can be expressed as (4) which include accumulative strain of direct extrusion and two continuous ECAP steps [9]:
(4)ε=lnλ+2*[2cot((ϕ/2)+(ψ/2))+ψcsc((ϕ/2)+(ψ/2))3],
where ε is the accumulative strain, λ is the extrusion ratio, Φ is the inner corner angle, and Ψ is the outer corner angle.Figure10 shows the microstructures in four parts within rod formed by ES process. The microstructures appear as strips along the extrusion direction shown in Figure 10(a) in the extruded reducing zone. This indicates that the deformation degree is very small. The uniform deformation took place in the grains mainly and improved the formation of rod-like microstructures in Figure 10(b) while recrystallization occurred in a small number of grains. As the deformation continues, the width of the rod-like microstructures becomes narrow; a number of lamellar-structure twin grains appear in the grains shown in Figure 10(c), where partial crystallization has taken place in those positions. Rod-like and lamellar microstructures in the first shear zone began to reduce for the large shear strain caused by shear deformation in this zone, and the deformation grains were turned into recrystallization grains. In the secondary shear zone shown in Figure 10(d), dynamic recrystallization occurred sufficiently for bigger cumulative shearing strains, but there was still a small amount of fine grain bars in the center of the rod. Using ES extrusion process, the average grain size can be changed from 250 μm to 10 μm. The microstructures were not only clearly refined but also relatively uniform. This was because the ES process included two simple shear extrusion processes more than an ordinary extrusion so that the deformation degree of central part of rods increased and the part recrystallization occurred. Therefore, the microstructures became smaller and more homogeneous.Microstructures of AZ31 magnesium alloy in different parts of ES die(×400): (a) region “A”, (b) region “B”, (c) region “C”, and (d) region “D”.
(a)
(b)
(c)
(d)The relationship between the average recrystallization grain size (d) and the Zener-Hollomon parameter (Z) during dynamic recrystallization is given by (5) and (6) [10]. The Zener-Hollomon parameter is used to help describe high-temperature creep strain of a material such as steel. The Zener-Hollomon parameter is also known as the temperature-compensated strain rate:
(5)Z=έexp(QRT),(6)-lnd=A+BlnZ,
where έ is the strain rate, Q is the activation energy, R is the gas constant, T is the temperature, and A and B are constants.Dynamic recrystallization (DRX) is one of the interesting mechanisms of microstructure evolution. Grain refinement could be attributed to continuous dynamic recrystallization which involves a progressive increase in grain boundary disorientation and changes of low angle boundaries into high angle boundaries. The Zener-Hollomon parameter (Z) of first direct extrusion is equal to Z1, v1 is the extrusion speed, λ is the extrusion ratio, and R1 is the billet radius. The parameters were substituted into (7); hence, (8) is obtained:
(7)Z1=3v1R1lnλ.exp(QRT).And theZ parameters of the first and the second shearings are Z2, Z3, respectively:
(8)Z2=Z3=[2cot((ϕ/2)+(ψ/2))+ψcsc((ϕ/2)+(ψ/2))6].×v2ψR2exp(QRT),
where inner corner angle is (Φ), outer corner angle is (ψ), V1 is the speed of extruded rods, and R2 is radius of extruded rod.Based on the present ES processing with extrusion temperature of 420°C, from (5) to (8), it can be found that the accumulative strain increases with the extrusion advancing, so the grains will be refined consequently. It is clear that there is three-phase recrystallization during ES process. It can be found that the average sizes of grains for DRX were coarsened with the preheated temperature increasing.


## 4. Conclusions

Three-dimensional finite element DEFORM software has been utilized to research the rules of temperature and the extrusion force varying with process parameters. Some ES extrusion experiments and tests have been done to research the plastic deformation behaviors of magnesium billet during ES extrusion through an ES die. The results have been shown as follows.(1)
The  thermal-mechanical coupling finite element models including the geometric and FEM models and solution conditions were applied to calculate the effective strain and temperature and extrusion force during ES extrusion. The maximum temperature rise in the billets could not increase with billet temperature rising. The temperature of rod surface increased continuously with development of ES extrusion. The evolutions of extrusion load curve and effective stress and temperature can be divided into three stages obviously. ES extrusion pressure is very sensitive to friction coefficient, so it is necessary to carry on lubrication in the process of hydrostatic extrusion. The peak extrusion force increases with extrusion speed.(2)
The ES die structures have been manufactured and installed to the horizontal extruder. ES formation was applied to fabricate AZ31 magnesium alloy rod at preheated temperature of 420°C with speed of 2 mm/s. The simulation results and microstructure observation showed that ES process can introduce compressive and accumulated shear strain into the magnesium alloy. The ES extrusion would cause severe plastic deformation and improve the dynamic recrystallization during ES extrusion. The microstructures show that ES is an efficient and inexpensive grain refinement method for magnesium alloys. Zener-Hollomon parameters during ES process showed that the grains of magnesium would be gradually refined.



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*Source: 259594-2013-11-28.xml*