D.H. Lammlein PhD Dissertation - Vanderbilt University

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likely predominates near the shoulder edge but the corresponding interfacial shear stress is too difficult to estimate. In addition to the torque based method of empirical heat input estimation, the heat input into weld material has been estimated via inspection of the width of the weld heat affected zone (HAZ) [20]. Others have used a combination of imbedded thermocouples readings and HAZ size measurements [14, 15, 16, 19]. Although individually these studies cover a narrow range of parameters, together they show a strong correlation between heat input to the weld and the size of the HAZ. Heurtier et al. successfully correlate microhardness readings with weld temperature [21]. These experimental measurements are required in the implementation of a realistic computational model. Heat generation and heat dissipation must be tuned and balanced to obtain agreement with experimental temperature data. This process will be discussed in more detail in the proceeding section on thermal boundary conditions. Model Dependent Heat Generation In each of the methods above, either the heat input or the temperature of the shoulder and pin surfaces are obtained via analytical and empirical means outside of the model and applied as a boundary condition to the model. Schmidt et al. [25], De Vuyst et al. [65] and Santiago et al. [10] apply model dependent plastic dissipation heat generation. The region of volumetric type heating is experimentally confirmed and agreed upon in literature to occur in the so-called thermomechanically heat affected zone (TMAZ) where plastic dissipation occurs. The minimum extent of the TMAZ is the width of the shoulder at the material surface and the width of the pin at the weld root [4, 36-38]. Plastic dissipation heating is applied to each element of the model as the product of the deviatoric stress tensor, s ij , the plastic strain tensor (also called deformation rate), pl ε& ij , [43] and a plastic energy dissipation efficiency term, η pd : q = η s & ε (1.12) pl vol pd ij ij 14
This efficiency term, η pd , is know in some fields as the Taylor-Quinney coefficient, β. Its value is typically between 0.9 and 1.0 [65]. Here the efficiency term is adjusted within the model to conform with the experimentally observed thermal gradient. He et al. [27] apply an identical formulation but do not mention the use of an efficiency term. Frictional heating on the surface of the material cannot be applied in a model dependent fashion as the pressure and frictional coefficient terms (and thus contact shear stress) in equation (1.4) are difficult to reliably reproduce in model. Heat Dissipation and Thermal Boundary Conditions The discussion of heat generation above applies to the thermal boundary conditions at the weld interface. For the establishment of a control volume, thermal boundary conditions must be established on all the model external surfaces in addition to heat input at and near the interface. Heat loss occurs via conduction to the tool, the backing plate, and any unmodeled portion of the weld material. Convective heat loss to the surrounding atmosphere also occurs. The heat lost through convection is considered negligible and has been shown in numerous studies to have no effect on temperatures within the weld plate [3]. Of the total heat generated near the welding interface, a majority is dissipated by way of the plate as opposed to via the tool shank. Knowing the temperature at two points along the length of the tool, the heat flux in Watts dissipated through its shank can be calculated: Q tool = λ tool ( T1 −T2 ) (1.13) d where λ tool is the thermal conductivity (e.g. W/m⋅K) of the tool shank, T 1 is the temperature at a position near the shoulder, T 2 is the temperature at a position further up 15
Page 1 and 2: FRICTION STIR WELDING OF SPHERES, C
Page 3 and 4: TABLE OF CONTENTS TABLE OF FIGURES
Page 5 and 6: Appendix ..........................
Page 7 and 8: Figure 16: Left(FE streamline), Mid
Page 9 and 10: Figure 51: A thermal camera image t
Page 11 and 12: for a similar conventional weld (3/
Page 13 and 14: Figure 102: Tapered retraction proc
Page 15 and 16: setting are indicated. Note that st
Page 17 and 18: Unsupported welds of this kind with
Page 19 and 20: Figure 157: A thermal camera image
Page 21 and 22: ottom sample is a tungsten inert ga
Page 23 and 24: N - newton (force unit) n - visco-p
Page 25 and 26: INTRODUCTION Friction Stir Welding,
Page 27 and 28: educed conduction lengths. In small
Page 29 and 30: CHAPTER I LITERATURE REVIEW: COMPUT
Page 31 and 32: frictional condition at the interfa
Page 33 and 34: contact. The contact area can inclu
Page 35 and 36: For horizontal sections, a heat inp
Page 37: (1.11) where r p is the probe (pin)
Page 41 and 42: The heat input on the tool surface
Page 43 and 44: The added complication of these met
Page 45 and 46: Figure 5: Lateral cross sections of
Page 47 and 48: Flow stress in aluminum alloys is d
Page 49 and 50: Figure 8: Three flow fields a) rota
Page 51 and 52: and post-weld cool-down. This model
Page 53 and 54: Williams et al. [60] use a 2D-axisy
Page 55 and 56: Figure 16: Left(FE streamline), Mid
Page 57 and 58: Figure 18: Temperature contour over
Page 59 and 60: Figure 22: Temperature distribution
Page 61 and 62: Figure 24: Lateral velocity contour
Page 63 and 64: Figure 26: Experimental(white) vers
Page 65 and 66: Figure 28: Top view schematic of tu
Page 67 and 68: [5] Taylor RE, Groot H, Goerz T, Fe
Page 69 and 70: [41] Heinz B., Skrotzki B., Eggler
Page 71 and 72: CHAPTER II COMPUTATIONAL ANALYSIS O
Page 73 and 74: Figure 30: Blind t-joint setup with
Page 75 and 76: Figure 33: Process forces and later
Page 77 and 78: Figure 35: Experimental Welds, Axia
Page 79 and 80: Figure 37: FEA boundary conditions
Page 81 and 82: A 4500 N axial force is applied eve
Page 83 and 84: axial force with lateral offset dur
Page 85 and 86: Figure 42: Contour plot of von Mise
Page 87 and 88: Figure 44: Deformation contour for
Page 89 and 90:
Figure 46: Quarter-plate model for
Page 91 and 92:
Figure 49: Contour plot of deflecti
Page 93 and 94:
where P is the weld power (W), Q is
Page 95 and 96:
Figure 52: Fluent CFD model zones.
Page 97 and 98:
Figure 55: Thermal contour of weld
Page 99 and 100:
Figure 59: Thermal contour of weld
Page 101 and 102:
Figure 61: Velocity vectors for 0.0
Page 103 and 104:
Figure 65: Contour of velocity magn
Page 105 and 106:
CHAPTER III THE APPLICATION OF SHOU
Page 107 and 108:
Figure 66: A shoulder-less, conical
Page 109 and 110:
Figure 68: Typical axial(Z-axis) fo
Page 111 and 112:
Figure 71: 90° conical tool macros
Page 113 and 114:
Figure 75: Run 3, 80° conical tool
Page 115 and 116:
Figure 79: (90º tool) Ultimate ten
Page 117 and 118:
Figure 83: (90º tool) Lateral forc
Page 119 and 120:
Figure 87: (80º tool) Lateral forc
Page 121 and 122:
The Eulerian, finite volume, CFD so
Page 123 and 124:
Figure 92 shows the increasing elem
Page 125 and 126:
Figure 91: CFD model geometry consi
Page 127 and 128:
Figure 95: Lateral cross-section of
Page 129 and 130:
Figure 96: Attempts a probe tapered
Page 131 and 132:
CHAPTER IV THE FRICTION STIR WELDIN
Page 133 and 134:
applications for its high strength
Page 135 and 136:
Figure 97: Experimental weld sample
Page 137 and 138:
Figure 99: Split protrusion type de
Page 139 and 140:
with a cupped recess. It is however
Page 141 and 142:
of tapered retraction (i.e. move th
Page 143 and 144:
The adjustments in vertical positio
Page 145 and 146:
manners the assigned depth was main
Page 147 and 148:
Figure 108: Lateral macrosections f
Page 149 and 150:
Figure 110: (Supported, cupped tool
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
apparent strength of 26% parent whi
Page 157 and 158:
with a 100º conical tool (0.025”
Page 159 and 160:
Figure 119: Macrosection view of an
Page 161 and 162:
and tooling. Torque is highly depen
Page 163 and 164:
locally in proportion to the local
Page 165 and 166:
Figure 126: (threaded tool) Contour
Page 167 and 168:
Figure 128: (conical tool) Geometry
Page 169 and 170:
Figure 131: (threaded tool) Lateral
Page 171 and 172:
The results presented here show tha
Page 173 and 174:
Figure 136:(from left: Tapered retr
Page 175 and 176:
[8] Metallurgical analysis of ablat
Page 177 and 178:
CHAPTER V FRICTION STIR WELDING OF
Page 179 and 180:
Collaboration between Advanced Meta
Page 181 and 182:
eccentricity, the method of interio
Page 183 and 184:
gas tungsten arc welding of small d
Page 185 and 186:
Full penetration welds of 4.2” (1
Page 187 and 188:
Figure 143: The curvature of the pi
Page 189 and 190:
Figure 144: Experimental axial forc
Page 191 and 192:
Together, a fine wall thickness tol
Page 193 and 194:
Figure 147: Axial force history for
Page 195 and 196:
The weld macrosections show complet
Page 197 and 198:
Figure 154: Macrosections of welds
Page 199 and 200:
Figure 157: A thermal camera image
Page 201 and 202:
Figure 159: Average tool shank temp
Page 203 and 204:
471,146 faces. The meshes are fine
Page 205 and 206:
Figure 162: A closeup view of mesh
Page 207 and 208:
4 2 3 4 5 16 " 1.745 2 0.24
Page 209 and 210:
applied heat locally in proportion
Page 211 and 212:
Figure 164: Modeled temperature con
Page 213 and 214:
Page 215 and 216:
Page 217 and 218:
Figure 172: Model pathlines for the
Page 219 and 220:
Figure 174: Model pathlines for the
Page 221 and 222:
later speed setting, the tool welds
Page 223 and 224:
Figure 178: Zoom view of a macro ta
Page 225 and 226:
Figure 180: The superficial appeara
Page 227 and 228:
Figure 182: The rotary welding appa
Page 229 and 230:
Figure 185: A diagram illustrating
Page 231 and 232:
CONCLUSION AND FUTURE WORK Conclusi
Page 233 and 234:
new FSW process environment is reso
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D.H. Lammlein PhD Dissertation - Vanderbilt University

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