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1 | (34) |
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1.1 An Introduction to Shape Memory Alloys |
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1 | (8) |
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1.1.1 Thermo-Mechanical Phenomena |
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1 | (2) |
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1.1.2 Martensitic Transformations |
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3 | (1) |
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4 | (2) |
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6 | (3) |
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1.2 Crystallographic Theory |
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9 | (2) |
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11 | (17) |
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1.3.1 Phase Stability Criterion |
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11 | (7) |
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1.3.2 Nucleation and Hysteresis |
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18 | (3) |
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1.3.3 Dynamics of Atomic Assemblies |
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21 | (2) |
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1.3.4 Statistical Thermodynamics |
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23 | (5) |
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1.4 Engineering Models of SMA |
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28 | (1) |
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29 | (6) |
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2 The Method of Molecular Dynamics Simulations |
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35 | (24) |
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35 | (2) |
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37 | (16) |
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37 | (2) |
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2.2.2 Integration Schemes |
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39 | (2) |
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2.2.3 Non-Dimensionalisation |
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41 | (1) |
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42 | (3) |
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2.2.5 Periodic Boundary Conditions |
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45 | (2) |
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47 | (2) |
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49 | (3) |
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2.2.8 MD Simulation Computer Program |
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52 | (1) |
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53 | (2) |
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55 | (4) |
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59 | (28) |
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59 | (5) |
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3.2 Infinite and Perfect Single Crystals |
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64 | (10) |
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3.2.1 Harmonic Limit: Linearised Equations of Motion |
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64 | (3) |
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3.2.2 Phase Stability of 2D Lattices |
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67 | (4) |
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3.2.3 Entropic Stabilisation of Austenite |
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71 | (3) |
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3.3 Crystallographic Theory |
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74 | (1) |
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3.4 Thermo-Mechanical Properties |
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74 | (10) |
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3.4.1 Individual Crystallites |
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74 | (3) |
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3.4.2 Chains of Crystallites |
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77 | (7) |
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84 | (3) |
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4 Lattice Transformations in 2D Crystals |
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87 | (64) |
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4.1 Temperature-Induced Transformations |
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87 | (13) |
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4.1.1 Strip-Shaped Rectangles |
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88 | (2) |
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4.1.2 Quad-Shaped Rectangles |
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90 | (8) |
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98 | (2) |
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4.2 Transformation Dynamics and Microstructure |
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100 | (2) |
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4.3 Nucleation of Martensite |
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102 | (19) |
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104 | (1) |
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105 | (3) |
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108 | (2) |
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110 | (8) |
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4.3.5 Phase Space Analysis |
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118 | (2) |
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4.3.6 Entropic Nucleation Barrier |
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120 | (1) |
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4.4 Tensile Testing in the Pseudo-Elastic Regime |
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121 | (13) |
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4.4.1 Simulation Procedure |
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121 | (2) |
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123 | (6) |
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4.4.3 Displacement Control Mode |
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129 | (5) |
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4.5 Tensile Testing in the Pseudo-Plastic Regime |
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134 | (3) |
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4.6 Transformation Cycles |
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137 | (8) |
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137 | (2) |
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4.6.2 Reverse Transformation of the 160,000-Atom Quad |
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139 | (1) |
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4.6.3 Cyclic Transformation Processes |
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139 | (6) |
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4.7 Hysteresis and Functional Fatigue |
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145 | (3) |
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4.7.1 Thermodynamic Hysteresis |
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145 | (1) |
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146 | (1) |
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4.7.3 Predicted and Observed Hysteresis |
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146 | (2) |
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148 | (3) |
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5 Lattice Transformations in 3D Crystals |
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151 | (14) |
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5.1 3D Lennard-Jones Crystals |
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151 | (6) |
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151 | (2) |
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153 | (1) |
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154 | (3) |
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157 | (5) |
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157 | (2) |
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5.2.2 Simulation Procedure |
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159 | (1) |
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160 | (2) |
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162 | (1) |
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162 | (3) |
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165 | (4) |
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168 | (1) |
Index |
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169 | |