<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">MSA</journal-id><journal-title-group><journal-title>Materials Sciences and Applications</journal-title></journal-title-group><issn pub-type="epub">2153-117X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/msa.2015.612112</article-id><article-id pub-id-type="publisher-id">MSA-62087</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject></subj-group></article-categories><title-group><article-title>
 
 
  Mechanical and Microstructural Evaluation of Plastically Deformed Brass
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>uideen</surname><given-names>Adebayo Bodude</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ibrahim</surname><given-names>Momohjimoh</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ruth</surname><given-names>Nkiruka Nnaji</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Metallurgical and Materials Engineering, University of Lagos, Lagos, Nigeria</addr-line></aff><aff id="aff2"><addr-line>Department of Mechanical Engineering, King Fard University of Petroleum and Minerals, Dhahran, 
Kingdom of Saudi Arabia</addr-line></aff><pub-date pub-type="epub"><day>01</day><month>12</month><year>2015</year></pub-date><volume>06</volume><issue>12</issue><fpage>1137</fpage><lpage>1144</lpage><history><date date-type="received"><day>13</day>	<month>October</month>	<year>2015</year></date><date date-type="rev-recd"><day>accepted</day>	<month>18</month>	<year>December</year>	</date><date date-type="accepted"><day>21</day>	<month>December</month>	<year>2015</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The mechanical properties as well as microstructure of Cu-30.6 wt% Zn alloys containing 0.01 wt% lead has been investigated. The brass alloy was cast and then cold rolled at various percentage reductions: 20%, 25%, 30%, 35% and 40% followed by stress relieving annealed at 450
  ℃. Hardness, ultimate tensile strength (UTS) and impact toughness values were evaluated at every stage of reduction. It was discovered that the strength, hardness and impact energy all increased with increased percentage reduction. Finally, the optical microscope of the samples was done and the result achieved correlated with the mechanical properties.
 
</p></abstract><kwd-group><kwd>Brass</kwd><kwd> Machinability</kwd><kwd> Microstructure</kwd><kwd> Cold Rolling</kwd><kwd> Stress Relieving</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Copper and its alloys are widely used in various field of applications due to their excellent mechanical and functional properties and this has made it attractive to industries and researchers. It has been reported that the addition of elements such as zinc, silicon, iron, lead, aluminum and manganese to copper has tremendous effects in improving the mechanical properties [<xref ref-type="bibr" rid="scirp.62087-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.62087-ref2">2</xref>] . However, the functional properties such as electrical and thermal conductivities reduces when copper is alloyed with other elements due to increase in thermal and interfacial resistance.</p><p>Brass has attractive combination of properties such as good corrosion resistant, good wear resistance, high thermal and electrical conductivities which are required in many components of automotive, electrical and valves and fittings [<xref ref-type="bibr" rid="scirp.62087-ref2">2</xref>] . In all of these components, the brasses are usually shaped into semi-finished product by means of extrusion, rolling, stamping, cold forming or machining. To increase the machinability of brass, 1% - 3% lead is usually added to enhance chip fracturing, reduce cutting force, increase the machining rate and ease of productivity, reduce tool wear rate and improve surface finish [<xref ref-type="bibr" rid="scirp.62087-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.62087-ref4">4</xref>] . The machinability of brasses is improved by addition of lead, sulfur, tellurium and zinc [<xref ref-type="bibr" rid="scirp.62087-ref5">5</xref>] while it deteriorates when tin and iron are added [<xref ref-type="bibr" rid="scirp.62087-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.62087-ref7">7</xref>] . Brass containing 2 wt% lead has improved machinability with lead acting as a microscopic chip breaker and tool lubricant, thereby increasing the brittleness of the alloy. The solubility of lead in brass alloys is very low and for that reason it is found in microstructure as dispersed globules within the material. It also acts as a lubricant thereby decreasing the frictional coefficient between the tool and the material, creating discontinuity that enhances chip formation and reducing cutting force and tool wear rate [<xref ref-type="bibr" rid="scirp.62087-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.62087-ref9">9</xref>] .</p><p>The global environmental concern on the lead level release in drinking water has call for the need for alternative source for the replacement of lead in leaded brasses. And this has provided an impetus for the development of lead-free brasses [<xref ref-type="bibr" rid="scirp.62087-ref10">10</xref>] . Elements such as bismuth next to lead in the periodic table and with almost the same properties are expected to play the same role of lead in the brass alloys without adverse health effects. Selenium boosts the effect of bismuth, allowing Bismuth concentrations to be used. However, the ductility of brasses containing bismuth and selenium is lower than the conventional leaded brass [<xref ref-type="bibr" rid="scirp.62087-ref11">11</xref>] . According to Michels, [<xref ref-type="bibr" rid="scirp.62087-ref12">12</xref>] , the presence of Bismuth at the grain boundaries of copper can cause embrittlement of the copper leading to reduction in ductility of the free-leaded brasses. However, Whiting et al. [<xref ref-type="bibr" rid="scirp.62087-ref8">8</xref>] report that the presence of tin can prevent the segregation of bismuth from the grain boundaries but it is not clear as regards to how the presence of tin prevents the segregation of bismuth.</p><p>The deformation characteristics of brass have been studied by Verma et al., [<xref ref-type="bibr" rid="scirp.62087-ref13">13</xref>] and he affirms that higher copper content (larger than 60%) is needed to produce products by cold working so as to have enough formability. Higher zinc content in the brass promotes brittleness and optimal mechanical properties are display in brass containing 30% zinc which is characterized by considerable plastic properties together with high tensile strength and hardness [<xref ref-type="bibr" rid="scirp.62087-ref14">14</xref>] .</p><p>The recrystallization annealing of CuZn30 was studied by Ozgowicz et al., [<xref ref-type="bibr" rid="scirp.62087-ref15">15</xref>] and the increasing temperature of recrystallization annealing within the temperature range of 300˚C - 650˚C was found to increase the plastic properties of the brass. The plasticity increases distinctly in this brass after annealing in the range of temperatures from 300˚C - 400˚C. Also the recrystallization annealing brass with rolling reduction of 15.8% within the temperature range of 450˚C to 650˚C results in a drop of the tensile strength by about 50 MPa and yield strength to about 100 MPa [<xref ref-type="bibr" rid="scirp.62087-ref15">15</xref>] . The hardness of cold rolled brass decreases with decreasing degree of the cold-rolling reduction and the rising temperature of annealing. The brass CuZn30 after cold plastic deformation and recrystallization annealing was found to have fine-gained microstructure of α-solution with characteristics twin crystals due to annealing [<xref ref-type="bibr" rid="scirp.62087-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.62087-ref17">17</xref>] .</p><p>Stack fault energy (SFE) plays an important role in the plastic deformation of metal alloys. Brass which has FCC structure exhibit low SFE [<xref ref-type="bibr" rid="scirp.62087-ref18">18</xref>] and the stack fault energy decrease rapidly when the zinc content of brass increases. The optical microscopy examination of the shear deformed samples in 70/30 brass showed an absence of any microscale shear bands. Besides, the amount of deformed twinning in the shear band samples was found to be comparable with that in simple compression. Thus twinning and low stack fault energy play a vital role in texture evolution as the low stack fault energy promotes the condition for twinning and twinning in turn promotes increased strain hardening.</p><p>Plastic deformation involves the breaking of limited number of atomic bonds by the movement of dislocations. However, the movement of dislocations allows atoms in crystal planes to slip pass one another at much lower stress levels [<xref ref-type="bibr" rid="scirp.62087-ref19">19</xref>] . Several methods of plastic deformations have been invented with the aim of imposing an extremely high plastic strain on the material which result in structural refinement and strength increase without changing the dimensions of the specimens [<xref ref-type="bibr" rid="scirp.62087-ref20">20</xref>] . The microstructure of a material influences the properties of the material and variation in microstructure can significantly change the strength, toughness, hardness, ductility and even thermal and electrical properties [<xref ref-type="bibr" rid="scirp.62087-ref21">21</xref>] . To change the microstructure of a material, a combination of mechanical deformation and heat treatment known as thermomechanical heat treatment may be used. So far, little work has been done on brass containing relatively low percentage of lead and the microstructure influence on the mechanical properties is still a subject of debate as some researchers established that increase reduction in cold rolling reduces the strength and hardness of the brass containing low weight percent of lead.</p><p>In this study, as-cast Cu-30.6 wt% Zn alloy containing 0.01 wt% lead was subjected to mechanical deformation cold rolling in the reduction range of 20% to 40% and then heat treated to a temperature of 450˚C. The mechanical properties as well as microstructural changes were evaluated.</p></sec><sec id="s2"><title>2. Material and Method</title><sec id="s2_1"><title>2.1. Material</title><p>The brass sample used was obtained from a local metal market in Owode Onirin, Lagos State Nigeria. The alloycomposition was measured and charged into a crucible furnace and melted. The molten metal was poured into a sand mold to produce 18 mm diameter brass samples.</p></sec><sec id="s2_2"><title>2.2. Cold Roll Deformation and Heat Treatment</title><p>The as-cast cylindrical specimen of 150 mm length and 18 mm diameter were cold-rolled with reduction range of 20% - 40% (that is, 20%, 25%, 30%, 35%, and 40%). The cold-rolled samples were thereafter annealed at 450˚C.</p></sec><sec id="s2_3"><title>2.3. Mechanical Testing</title><sec id="s2_3_1"><title>2.3.1. Tensile Testing</title><p>Tensile tests were carried out using a universal tensile testing machine with a capacity of 25 kN load at the Federal Institute of Industrial Research, Oshodi (FIIRO), Lagos, Nigeria. Specimens for tensile test were machined to a standard shape with a gauge length of 40 mm, total length of 60 mm, gauge diameter of 5 mm and width of grip section of 10 mm. The tensile test which is a destructive test was applied to the test specimens with increasing tensile force until the material fractured and corresponding readings were recorded. Strain rate of the tensometer was 40 mm/min.</p></sec><sec id="s2_3_2"><title>2.3.2. Hardness Testing</title><p>Brinell hardness testing was conducted on samples at FIIRO. A load of 5000 N was applied on the specimen for 10 seconds using 10 mm ball indenter and the indentation diameter was measured using a digital micrometer screw gauge. The average value was calculated from three measurements considered from different areas on sectioned specimen surfaces. Hardness values was estimated from the diameter of indenter, diameter of indentation and magnitude of applied load by the formula below,</p><disp-formula id="scirp.62087-formula785"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/5-7701715x7.png"  xlink:type="simple"/></disp-formula><p>where HB is the Brinell hardness number in kg/mm<sup>2</sup>, D = diameter of indentation in mm, d = diameter of indenter in mm, P = applied load in Kg.</p></sec></sec><sec id="s2_4"><title>2.4. Heat Treatment</title><p>Stress relief annealing was conducted on the samples by heating the as-cast samples to 450˚C in a muffle furnace and allowing them to cool to room temperature inside the furnace.</p></sec><sec id="s2_5"><title>2.5. Microstructural Analysis</title><p>Samples for microstructural analysis were obtained by cutting and sectioning of the heat-treated materials. Sectioned surfaces were ground, polished, with the aid of powder abrasives and etched at the Metallurgy laboratory of University of Lagos, Lagos, Nigeria using the grinding/polishing machine. Polishing was performed using the standard procedure while ferric chloride (FeCl<sub>3</sub>) solution of concentration 0.21 mol/dm<sup>3</sup> was used for etching. The identification of the heterogeneous disperse phases was carried out using the optical metallurgical microscope.</p></sec></sec><sec id="s3"><title>3. Results and Discussion</title><p><xref ref-type="table" rid="table1">Table 1</xref> shows the weight percentages of the individual elements which make up the brass alloy. It clearly indi-</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Weight percentages of different elements present in the brass alloy</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Zn</th><th align="center" valign="middle" >Pb</th><th align="center" valign="middle" >Sn</th><th align="center" valign="middle" >Mn</th><th align="center" valign="middle" >Fe</th><th align="center" valign="middle" >Ni</th><th align="center" valign="middle" >Si</th><th align="center" valign="middle" >Al</th><th align="center" valign="middle" >C</th><th align="center" valign="middle" >Cu</th></tr></thead><tr><td align="center" valign="middle" >30.60</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.003</td><td align="center" valign="middle" >0.002</td><td align="center" valign="middle" >0.024</td><td align="center" valign="middle" >0.001</td><td align="center" valign="middle" >0.015</td><td align="center" valign="middle" >0.035</td><td align="center" valign="middle" >0.004</td><td align="center" valign="middle" >69.03</td></tr></tbody></table></table-wrap><p>cated that the brass contains 30% of zinc which are normally found in brass commercial alloy. The percentage composition of lead in the alloy is relatively low as it is less than 1% and that implies that the machinability of the alloy will be low as compared to those with relatively high lead content. However, the brass alloy will be environmentally friendly and has global utilization.</p><sec id="s3_1"><title>3.1. Mechanical Properties</title><sec id="s3_1_1"><title>3.1.1. Hardness</title><p><xref ref-type="fig" rid="fig1">Figure 1</xref> shows the hardness of rolled and stress relieved brass as a function of percentage reduction. It was found that the hardness of the brass increases with increase in the percentage reduction. Also, the rolled brass has higher hardness value than the rolled and stress relieved with the same amount of reduction. This is expected as percentage reduction involved cold working of the metal which generate dislocations within the crystal of the material. The dislocation density increases as the percentage reduction increases and the pile up as well as interaction of the dislocations during deformation results in increasing hardness of the brass alloy. However, stress relieving as thermal reduction in stress involves the rearrangement of dislocations which occurred as a result of mechanical working thereby reducing the dislocation density. It should be noted that the residual stresses which occurred during of cold working of the metal increase the total internal energy of the metallic structure and also the presence of dislocations increases the total internal energy of the structure. This hardness trend is in line with the observation of Askeland and Phule, [<xref ref-type="bibr" rid="scirp.62087-ref22">22</xref>] , that the higher the extent of cold working, the higher would be the level of internal energy of the material. Moreover, mechanical rolling involves application of compressive stresses at the surface of the material while the center of the material is under tensile. The higher the level of compressive stresses at the surface, the more the hardness of the material. Again, particle size reduction due to mechanical rolling also contributed to the increase in hardness of the brass alloy as the percentage reduction increases. As reported by Nowosielski, [<xref ref-type="bibr" rid="scirp.62087-ref14">14</xref>] , Song et al., [<xref ref-type="bibr" rid="scirp.62087-ref23">23</xref>] higher zinc content (30%) in combination with higher degree of mechanical deformation can significantly increase the mechanical properties of brass. Thus, increase in dislocation density, high zinc content and particle or grain size reduction due to rolling all contributed to the high hardness value of the deformed brass.</p></sec><sec id="s3_1_2"><title>3.1.2. Impact Energy</title><p><xref ref-type="fig" rid="fig2">Figure 2</xref> shows the impact energy of the rolled and stress relieved brass as a function of percentage reduction. The impact energy was found to increase steadily with the deformation until 35% reduction. Further increase in percentage reduction from 35% to 40% reduction causes sharp increase in impact energy from 9.5 J to 21 J in the case of rolled brass. This is expected as the total energy increase with the amount of cold work [<xref ref-type="bibr" rid="scirp.62087-ref13">13</xref>] . However, the impact energy of rolled brass is lower than that of rolled and stress relieved brass as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. This is because the rolled brass is subjected to compressive stress at the surface [<xref ref-type="bibr" rid="scirp.62087-ref22">22</xref>] which made it unstable but stress relieved brass after roll deformation contain less dislocations and residual stresses when compared to the rolled brass. Therefore, much energy is required to fracture the stress-relieved brass than the rolled brass when they are both subjected to the same amount of impact.</p></sec><sec id="s3_1_3"><title>3.1.3. Ultimate Tensile Strength</title><p><xref ref-type="fig" rid="fig3">Figure 3</xref> shows the ultimate tensile strength as a function of percentage reduction of the brass. The ultimate tensile strength was found to increase linearly from 20% to 25% reduction and thereafter the ultimate tensile strength remain constant until 30% reduction was reached where it increases with further % reduction. Also the rolled and stress-relieved brass had lower ultimate tensile strengths as compared to the brass that was deformed by rolling without stress relieving.It was estimated from <xref ref-type="fig" rid="fig3">Figure 3</xref> that at 25% reduction, the ultimate tensile strength of rolled brass is about 38% higher than the rolled and stress relieved brass. However the trend of strength increase in the two brass conditions (rolled and stress relieved) are similar as the ultimate tensile strength increases with percentage reduction.</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Hardness vs. percentage reduction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-7701715x8.png"/></fig><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Impact energy vs. percentage reduction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-7701715x9.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Ultimate tensile strength vs. percentage reduction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-7701715x10.png"/></fig></sec></sec><sec id="s3_2"><title>3.2. Microstructure</title><p><xref ref-type="fig" rid="fig4">Figure 4</xref> shows the optical micrographs of control sample of brass and the cast brass alloys at various percentage reductions of 20%, 25%, 30%, 35% and 40% respectively. The primary alpha phase (α) is the zinc while the Beta phase (β) represents the copper phase in the alloy as shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>(A). It was observed from <xref ref-type="fig" rid="fig4">Figure 4</xref> that, with increase in percentage cold roll of the brass, the grain sizes are increased and they also become smaller thereby making it hard for the grains to slide over another which has a great effect on the tensile strength as well as the hardness of the brass. <xref ref-type="fig" rid="fig4">Figure 4</xref>(A), shows an optical micrograph of the control sample of brass and it may be seen that more-or-less rounded particles of zinc are crystallized, which are surrounded by fine eutectic copper (brighter parts) together with black spots which could be defects introduced during casting of the alloys.</p><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Optical micrograph analysis of: (A) as cast brass AT 200&#215;, (B) 20% reduction at 200&#215;, (C) 25% reduction at 200&#215;, (D) 30% reduction, (E) 35% reduction and (F) 40% reduction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/5-7701715x11.png"/></fig><p>Here, copper has networked structure. It is seen that as the percentage reduction increases, the figures show more refinement of the eutectic copper particles. It may be seen that the degree of refinement of the eutectic copper increased as the percentage cold roll increases. <xref ref-type="fig" rid="fig4">Figure 4</xref>(B) shows the optical micrograph of the brass at 20% reduction which indicated an increase in defects due to mechanical deformation (rolling). Defect such as vacancies and dislocations are introduced as a result of thermo-mechanical processing and this has influence on the mechanical properties of the material. As deformation increased further, <xref ref-type="fig" rid="fig4">Figure 4</xref>(C), more defects are introduced which became conspicuous with orientation of the grains. The defects continues to persist even up to 30% reduction as shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>(D). In <xref ref-type="fig" rid="fig4">Figure 4</xref>(E), the concentration of defects were found to reduce considerably as a result of randomization of the microstructure during rolling up to 35% reduction. Again new phase β’ evolved from the primary phase (α and β) as a result of simultaneous rolling and heat treatment up to 450˚C which lead to two phenomenon of recovery and recrystallization. The grain sizes was also found to reduce after the recrystallization of the new phase.</p><p>In <xref ref-type="fig" rid="fig4">Figure 4</xref>(F), the defects were almost completely eliminated with the new phase concentration increase substantially. This clearly indicates that the new phase contributed to increase in hardness and strength as indicated in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig3">Figure 3</xref> respectively [<xref ref-type="bibr" rid="scirp.62087-ref22">22</xref>] . Therefore, precipitation strengthening could be the phenomenon accounting for the increase hardness and strength after 30% reduction rolling and stress relieving.</p></sec></sec><sec id="s4"><title>4. Conclusion</title><p>The improvement on the mechanical properties of the brass after cold rolling was due to increasing defects. Annealing the cold rolled brass at 450˚C was found to reduce the dislocation density as a result of annihilation and polygonization of dislocations and as such the cold rolled samples have higher hardness and strength than the cold rolled and stress relieved samples. At 40% reduction, the hardness of cold rolled samples was 28HRC while that of cold rolled and stress relieved sample was 11HRC. Also the strength of cold rolled at 40% was higher (268.18 N/mm<sup>2</sup>) than the cold rolled and stress relieved (176.62 N/mm<sup>2</sup>). However, the impact energy increased as the cold rolled samples were stress relieved due to reduction in dislocation density.</p></sec><sec id="s5"><title>Acknowledgements</title><p>The authors wish to thank Mr. Suleiman and Mr. Joel of the Department of Metallurgical and Materials Engineering University of Lagos, Nigeria for the experimental part of this work.</p></sec><sec id="s6"><title>Cite this paper</title><p>Muideen AdebayoBodude,IbrahimMomohjimoh,Ruth NkirukaNnaji, (2015) Mechanical and Microstructural Evaluation of Plastically Deformed Brass. Materials Sciences and Applications,06,1137-1144. doi: 10.4236/msa.2015.612112</p></sec><sec id="s7"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.62087-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Vilarinho, C., Davim, J.P., Soares, D., Castro, F. and Barbosa, J. (2005) Influence of the Chemical Composition on the Machinability of Brasses. 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