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2 µm - eTheses Repository - University of Birmingham

2 µm - eTheses Repository - University of Birmingham

NOMENCLATURE Symbol

NOMENCLATURE Symbol Meaning α shape parameter of infiltration curve a gradient in the infiltration curve A5 fracture elongation in tension Agate gate cross-sectional area Apl surface area of the plunger ciso relative isostatic compression of preform ciso,max maximum isostatic compression ciso,per permanent isostatic compression after pressure release ciso,100 compression at 100 MPa isostatic pressure cp heat capacity CP, CF constant pressure and constant flux infiltration mode cpf specific heat capacity of fibre preform cpr compression of the preform due to infiltration process CT compact tension method CTE coefficient of thermal expansion cv volumetric compression of preform d50 median particle size ΔG0 free energy of formation Δγr contribution of reduced interfacial tension due to reaction ΔGr heat of reaction due to formation of an interfacial phase DHg median pore size in mercury porosimetry DSQC direct squeeze casting infiltration E Young´s modulus Ec, E1, E2 Young´s modulus of the composite, reinforcement phase 1 and 2 Ec,lower , Ec,upper lower and upper bound of composite Young´s modulus Ec,ROM Young´s modulus calculated using rule of mixture (ROM) Edyn Young´s modulus measured in resonance mode Eiso volumetric modulus in isostatic compression FN normal force in tribological testing fPFA fraction pore forming agent in green part FR friction force G Gibbs energy γHg surface tension of mercury γlv surface tension of a liquid GP gas pressure infiltration mode surface energy of the liquid-solid reaction product interface γRl VI

Symbol Meaning γRv surface energy of the interface reaction product- atmosphere γsv, γsl surface energies of solid-vapour, solid-liquid interfaces η viscosity of water in permeabilty measurements HM heat of fusion of metal phase HPDC high pressure die casting ISQC indirect squeeze casting K preform permeability k ratio of window to cell size in foamed preforms KIC fracture toughness in mode I KMIP permeability in mercury porosimetry Kr relative preform permeability Ks specific preform permeability Ksi specific permeability in pressing direction Ks specific permeability for flow parallel to the fibre axis Ksp specific permeability parallel to pressing direction Ks specific permeability for flow perpendicular to the fibre axis λ geometrical factor of powder bed lc length of steel cylinder µ fluid viscosity m Weibull modulus m0 preform mass weighed in air m1 preform mass saturated with fluid m2 preform mass weighed immersed in the fluid μi chemical potential N1, N2 solvent mole fractions of liquid 1 and 2 νi stoichiometric coefficient Pappl applied pressure PC cellulose particle pore former Pf probability of failure PF carbon fibre pore former PFA pore forming agent PH initial Hertzian pressure Piso isostatic compression pressure Ploc local pressure Pmet melt pressure in the direct squeeze casting tool PMMC, PIS performance coefficient of MMC and infiltration alloy IS pO2,calc calculated oxygen partial pressure θ contact or wetting angle VII

  • Page 1 and 2: Pressure Infiltration Behaviour and
  • Page 3 and 4: ABSTRACT In the pressure infiltrati
  • Page 5 and 6: CONTENTS 1. INTRODUCTION 1 2. LITER
  • Page 7: 4.8.3 Evaluation of infiltration be
  • Page 11 and 12: Symbol Meaning TYS tensile yield st
  • Page 13 and 14: these materials are the detrimental
  • Page 15 and 16: 2. LITERATURE REVIEW 2.1. Materials
  • Page 17 and 18: changes in the oxide film chemistry
  • Page 19 and 20: or inside the bulk fluid only. Inte
  • Page 21 and 22: that are most effective in decreasi
  • Page 23 and 24: initiation stress of 25 %. Further,
  • Page 25 and 26: Beffort (36) suggested that even th
  • Page 27 and 28: einforcement interface and reinforc
  • Page 29 and 30: It is interesting to note that, for
  • Page 31 and 32: 20 Table 2.1 Compilation of the mec
  • Page 33 and 34: General models to predict fracture
  • Page 35 and 36: with values observed by others for
  • Page 37 and 38: The work of adhesion characterises
  • Page 39 and 40: and vapour, is difficult to evaluat
  • Page 41 and 42: system Al-Al2O3 is 10 -49 Pa at 700
  • Page 43 and 44: In the Al-Cu system, although the p
  • Page 45 and 46: The heat of reaction ΔGr may be es
  • Page 47 and 48: al. (100) who found non-wetting beh
  • Page 49 and 50: capillary or threshold pressure has
  • Page 51 and 52: using constant gas pressure. Infilt
  • Page 53 and 54: The superficial velocity v0 in the
  • Page 55 and 56: The permeability K can be expressed
  • Page 57 and 58: 2.4. Preform fabrication Composites
  • Page 59 and 60:

    According to Kniewallner (51) even

  • Page 61 and 62:

    2.4.3. Foamed preforms Another inte

  • Page 63 and 64:

    structure. This is shown schematica

  • Page 65 and 66:

    2.5.1. Gas pressure infiltration (G

  • Page 67 and 68:

    MMCs infiltrated with an Al-9Mg or

  • Page 69 and 70:

    layer oxide films. The Weber number

  • Page 71 and 72:

    Long et al. (50) suggested that v0

  • Page 73 and 74:

    3. EXPERIMENTAL PROCEDURE The influ

  • Page 75 and 76:

    sintered at 1550°C, which represen

  • Page 77 and 78:

    using a AVT-Horn (Aalen, Germany) m

  • Page 79 and 80:

    squares fit function within the MAP

  • Page 81 and 82:

    areas, SsBET ,of the powders were m

  • Page 83 and 84:

    with dimensions of 65 mm x 46 mm x

  • Page 85 and 86:

    The preform sintering process was o

  • Page 87 and 88:

    in the evaporation of mercury at lo

  • Page 89 and 90:

    The compressive strength, σc , of

  • Page 91 and 92:

    as the measured mean value 0.23. Th

  • Page 93 and 94:

    for 90 s to ensure complete solidif

  • Page 95 and 96:

    ottom punch surface. The temperatur

  • Page 97 and 98:

    A graphic presentation of the relat

  • Page 99 and 100:

    detected. This operation took appro

  • Page 101 and 102:

    modulus Edyn of the unreinforced al

  • Page 103 and 104:

    calculated using the methods outlin

  • Page 105 and 106:

    Positive volume changes were predic

  • Page 107 and 108:

    Figure 4.5 Droplet formation of the

  • Page 109 and 110:

    with the metal alloy IM: examples a

  • Page 111 and 112:

    As shown in Figure 4.9, apart from

  • Page 113 and 114:

    4.3.2 Powder specific surface area

  • Page 115 and 116:

    The particles of TO and MO were dis

  • Page 117 and 118:

    oom temperature and 270°C, with a

  • Page 119 and 120:

    obtain usable products when they we

  • Page 121 and 122:

    strengths, whereas with 10 and 20 w

  • Page 123 and 124:

    strength showed no significant diff

  • Page 125 and 126:

    Relative change in dimension s x, s

  • Page 127 and 128:

    (a) AOPC20 (b) AGPC15 2 µm (c) TOP

  • Page 129 and 130:

    At higher magnification, Figure 4.2

  • Page 131 and 132:

    intrusions started at 4 µm and end

  • Page 133 and 134:

    As shown in Figure 4.27, the pore s

  • Page 135 and 136:

    An overview of the specific values

  • Page 137 and 138:

    1.71 to 1.98·10 6 m²/m³. The sim

  • Page 139 and 140:

    logarithmic compression behaviour,

  • Page 141 and 142:

    The volumetric stiffness Eiso of th

  • Page 143 and 144:

    Figure 4.37 shows that the TOPC20 p

  • Page 145 and 146:

    unhindered through the gap between

  • Page 147 and 148:

    intrusions and the other areas were

  • Page 149 and 150:

    4.8.1 Unreinforced matrix propertie

  • Page 151 and 152:

    die, Tmelt,die , could not be recor

  • Page 153 and 154:

    pressure was recorded as a function

  • Page 155 and 156:

    the linear fits for AOPC20, TOPC20

  • Page 157 and 158:

    4.8.6 Non destructive testing of MM

  • Page 159 and 160:

    X-Y Y-Z Figure 4.51 Virtual cross-s

  • Page 161 and 162:

    The metal filling the intragranular

  • Page 163 and 164:

    the ceramic particles was not visib

  • Page 165 and 166:

    etween the dark grey ceramic phases

  • Page 167 and 168:

    The windows, one of which is marked

  • Page 169 and 170:

    potential interfacial reactions, th

  • Page 171 and 172:

    In order to determine the effect of

  • Page 173 and 174:

    Infiltration depth L² L² (mm²) /

  • Page 175 and 176:

    4.8.12 Microstructure of MMCs with

  • Page 177 and 178:

    minor fraction of suboxides with hi

  • Page 179 and 180:

    4.9. High pressure die casting infi

  • Page 181 and 182:

    In the Y-Z plane section in Figure

  • Page 183 and 184:

    4.9.2 Compression of preforms The c

  • Page 185 and 186:

    Relative preform compression c pr (

  • Page 187 and 188:

    decrease depended on the tooling us

  • Page 189 and 190:

    Bending stress σ (MPa) / MPa 500 4

  • Page 191 and 192:

    4.10.3 Influence of reinforcement t

  • Page 193 and 194:

    Significant deformation developed i

  • Page 195 and 196:

    a) b) 2 50 2 50 µm µm 2 50 2 50

  • Page 197 and 198:

    5. DISCUSSION First the properties

  • Page 199 and 200:

    The measured elastic modulus, Edyn

  • Page 201 and 202:

    The MMCs showed similar wear with t

  • Page 203 and 204:

    interfacial debonding: Peng et al.

  • Page 205 and 206:

    The area Sml was derived using data

  • Page 207 and 208:

    MMC. Due to the solidification shri

  • Page 209 and 210:

    measurements which resulted in a lo

  • Page 211 and 212:

    5.1.5 Influence of reactions No rea

  • Page 213 and 214:

    5.2. Preform pore formation The tar

  • Page 215 and 216:

    kinetics were reported to be rather

  • Page 217 and 218:

    The newly formed water vapour led t

  • Page 219 and 220:

    In order to achieve minimum porosit

  • Page 221 and 222:

    the present work. These pressures w

  • Page 223 and 224:

    indicated by zero values of the fre

  • Page 225 and 226:

    influence on the pO2,calc. The lowe

  • Page 227 and 228:

    during extended holding and acts as

  • Page 229 and 230:

    Compared to Hg, the Al melt may con

  • Page 231 and 232:

    preforms with IM, Figure 4.67. For

  • Page 233 and 234:

    preform compression, cpr , increase

  • Page 235 and 236:

    Specific Specific permeability Perm

  • Page 237 and 238:

    Permeability (m²) / m² 1x10 -12 1

  • Page 239 and 240:

    As the predominant fluid flow was a

  • Page 241 and 242:

    In the CP mode, the Preform 1D code

  • Page 243 and 244:

    Local Saturation saturation S () lo

  • Page 245 and 246:

    listed in Table 5.1 and 5.3 were us

  • Page 247 and 248:

    6. CONCLUSIONS 1. An aqueous proces

  • Page 249 and 250:

    anged between 112 and 131° for the

  • Page 251 and 252:

    8. REFERENCES 1. Altenpohl, D.: Alu

  • Page 253 and 254:

    43. Davis, L.C. and Allison, J.E. :

  • Page 255 and 256:

    85. Gennes, P.G. : “Wetting: Stat

  • Page 257 and 258:

    127. Corbin, S.F., Lee, J. and Qiao

  • Page 259:

    171. Gmelin, L. : Handbook of Inorg

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