Preface and Acknowledgments |
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xi | |
Author |
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xiii | |
Acronyms |
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xv | |
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1 | (110) |
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1 Introduction and Point Groups |
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3 | (26) |
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3 | (2) |
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5 | (3) |
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Primitive representation of Cubic-F |
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7 | (1) |
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8 | (1) |
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9 | (4) |
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Number of equivalent indices |
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12 | (1) |
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13 | (1) |
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14 | (1) |
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14 | (1) |
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15 | (3) |
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17 | (1) |
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18 | (3) |
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20 | (1) |
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1.10 Point group symmetry |
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21 | (4) |
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Point symmetry of chess pieces |
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23 | (1) |
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Octahedral interstices in iron |
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23 | (2) |
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25 | (4) |
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2 Stereographic Projections |
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29 | (16) |
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29 | (2) |
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Projection of small circle |
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29 | (2) |
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2.2 Utility of stereographic projections |
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31 | (1) |
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2.3 Stereographic projection: construction and characteristics |
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32 | (6) |
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Radius of trace of great circle on Wulff net |
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35 | (1) |
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36 | (2) |
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2.4 Stereographic representation of point groups |
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38 | (4) |
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Mirror plane equivalent to 2 |
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38 | (1) |
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The point groups 3m and m3 |
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39 | (3) |
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42 | (3) |
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3 Stereograms for Low Symmetry Systems |
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45 | (10) |
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45 | (1) |
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46 | (6) |
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Angles in the hexagonal system |
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48 | (2) |
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Growth direction of cementite laths |
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50 | (2) |
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52 | (3) |
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55 | (12) |
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55 | (1) |
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4.2 Screw axes and glide planes |
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55 | (1) |
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56 | (2) |
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4.4 Location of atoms in cuprite cell |
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58 | (5) |
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Space group of Fe-Si-U compound |
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60 | (1) |
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61 | (1) |
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62 | (1) |
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4.5 Shape of precipitates |
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63 | (1) |
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64 | (3) |
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5 The Reciprocal Lattice and Diffraction |
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67 | (14) |
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67 | (3) |
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68 | (2) |
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5.2 Crystallography of diffraction |
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70 | (1) |
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70 | (6) |
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Solution of electron diffraction pattern |
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71 | (2) |
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Another diffraction pattern solution |
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73 | (1) |
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Disordered and ordered crystals |
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74 | (2) |
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5.4 Diffraction from thin crystals |
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76 | (2) |
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78 | (1) |
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79 | (2) |
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6 Deformation and Texture |
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81 | (12) |
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6.1 Slip in a single-crystal |
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81 | (4) |
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Elongation during single-crystal deformation |
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83 | (1) |
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84 | (1) |
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85 | (3) |
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6.3 Orientation distribution functions |
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88 | (2) |
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Euler angles relating two frames |
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89 | (1) |
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90 | (3) |
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7 Interfaces, Orientation Relationships |
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93 | (10) |
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93 | (1) |
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7.2 Symmetrical tilt boundary |
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94 | (2) |
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7.3 Coincidence site lattices |
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96 | (1) |
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7.4 Representation of orientation relationships |
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96 | (4) |
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Coordinate transformation |
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97 | (3) |
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7.5 Mathematical method for determining Σ |
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100 | (1) |
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101 | (2) |
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8 Crystallography of Martensitic Transformations |
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103 | (8) |
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103 | (1) |
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104 | (1) |
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104 | (5) |
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109 | (2) |
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II A Few Advanced Methods |
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111 | (128) |
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113 | (20) |
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113 | (1) |
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114 | (4) |
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Bagaryatski orientation relationship |
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114 | (4) |
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9.3 Relations between fcc and bcc crystals |
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118 | (4) |
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Kurdjumov--Sachs orientation relationship |
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119 | (3) |
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9.4 Relationships between grains of identical structure |
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122 | (4) |
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Axis-angle pairs and rotation matrices |
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122 | (3) |
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125 | (1) |
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126 | (1) |
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Plane normals and directions in an orthorhombic structure |
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126 | (1) |
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9.6 More about the vector cross product |
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127 | (2) |
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129 | (4) |
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10 Homogeneous deformations |
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133 | (20) |
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133 | (1) |
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10.2 Homogeneous deformations |
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134 | (4) |
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Bain strain: undistorted vectors |
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136 | (2) |
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10.3 Eigenvectors and eigenvalues |
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138 | (2) |
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Eigenvectors and eigenvalues |
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139 | (1) |
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10.4 Stretch and rotation |
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140 | (3) |
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143 | (1) |
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Deformations and interfaces |
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143 | (1) |
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10.6 Topology of grain deformation |
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144 | (5) |
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149 | (4) |
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11 Invariant-plane strains |
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153 | (32) |
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153 | (8) |
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Tensile tests on single-crystals |
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157 | (3) |
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Transition from easy glide to duplex slip |
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160 | (1) |
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161 | (3) |
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161 | (3) |
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11.3 Correspondence matrix |
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164 | (1) |
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11.4 An alternative to the Bain strain |
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165 | (2) |
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167 | (11) |
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Interaction of dislocations with interfaces |
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168 | (4) |
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FCC to HCP transformation revisited |
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172 | (6) |
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11.6 Conjugate of an invariant-plane strain |
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178 | (3) |
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Combined effect of two invariant-plane strains |
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179 | (2) |
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181 | (4) |
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185 | (26) |
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185 | (1) |
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185 | (3) |
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12.3 Interfacial structure of martensite |
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188 | (2) |
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12.4 Phenomenological theory of martensite crystallography |
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190 | (3) |
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12.5 Stage 1: Calculation of lattice transformation strain |
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193 | (4) |
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Determination of lattice transformation strain |
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194 | (3) |
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12.6 Stage 2: Determination of the orientation relationship |
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197 | (1) |
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Martensite-austenite orientation relationship |
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197 | (1) |
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12.7 Stage 3: Nature of the shape deformation |
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198 | (3) |
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Habit plane and the shape deformation |
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199 | (2) |
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12.8 Stage 4: Nature of the lattice-invariant shear |
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201 | (3) |
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202 | (2) |
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12.9 Texture due to displacive transformations |
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204 | (2) |
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206 | (5) |
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211 | (28) |
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211 | (1) |
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212 | (7) |
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Symmetrical tilt boundary |
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214 | (3) |
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Interface between alpha and beta brass |
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217 | (2) |
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13.3 Coincidence site lattices |
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219 | (6) |
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Coincidence site lattices |
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219 | (3) |
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Symmetry and the axis-angle representations of CSL's |
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222 | (3) |
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225 | (3) |
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α/β brass interface using O-lattice theory |
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227 | (1) |
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13.5 Secondary dislocations |
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228 | (2) |
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Intrinsic secondary dislocations |
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229 | (1) |
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230 | (3) |
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13.7 Some difficulties associated with interface theory |
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233 | (1) |
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234 | (5) |
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239 | (10) |
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241 | (6) |
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241 | (1) |
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242 | (5) |
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B General rotation matrix |
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247 | (2) |
Index |
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249 | |