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ix | |
Preface |
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xvii | |
Authors |
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xix | |
Acronyms |
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xxi | |
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1 | (18) |
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1 | (1) |
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1 | (2) |
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1.2.1 Research Objective 1: Characterize Quasi-Static Material Properties of Cellular Designs |
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2 | (1) |
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1.2.2 Research Objective 2: Characterize Dynamic Material Properties of Cellular Designs |
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2 | (1) |
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1.2.3 Research Objective 3: Develop Computational Model and Impact Simulation |
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2 | (1) |
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1.2.4 Research Objective 4: Evaluate Inclusion of Cellular Structures on Impact Results |
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3 | (1) |
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3 | (12) |
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1.3.1 Cellular Structures |
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3 | (1) |
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4 | (1) |
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4 | (1) |
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1.3.1.3 Mechanical Properties |
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5 | (3) |
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1.3.1.4 Triply Periodic Minimal Surface (TPMS) |
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8 | (3) |
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1.3.2 Manufacturing Methods |
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11 | (1) |
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1.3.2.1 Additive Manufacturing Methods |
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12 | (2) |
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1.3.3 Impact Modeling and Simulation |
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14 | (1) |
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1.3.3.1 Discrete Element Method |
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14 | (1) |
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1.3.3.2 Finite Element Method |
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15 | (1) |
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1.4 Organization of Subsequent Chapters |
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15 | (4) |
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16 | (3) |
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Chapter 2 Background Theory |
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19 | (26) |
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2.1 Finite Element Method |
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19 | (15) |
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2.1.1 Finite Element Method Theory |
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19 | (5) |
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2.1.2 Smoothed Particle Hydrodynamics |
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24 | (4) |
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2.1.3 Shock Waves and Equation of State |
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28 | (1) |
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28 | (4) |
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2.1.3.2 Equation of State |
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32 | (2) |
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34 | (3) |
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2.2.1 Johnson--Cook Failure Model |
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34 | (1) |
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2.2.2 Holmquist--Johnson--Cook Failure Model |
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35 | (2) |
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37 | (8) |
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2.3.1 Constitutive Compression Response Models |
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37 | (1) |
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38 | (1) |
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2.3.1.2 Gibson Modified Model |
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39 | (2) |
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41 | (4) |
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Chapter 3 Experimental Methodology |
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45 | (32) |
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45 | (1) |
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46 | (16) |
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3.2.1 Test Specimen Fabrication |
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46 | (3) |
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49 | (1) |
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49 | (1) |
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49 | (2) |
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51 | (5) |
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56 | (1) |
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56 | (1) |
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57 | (1) |
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58 | (3) |
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3.2.4 Split Hopkinson Pressure Bar Test Results |
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61 | (1) |
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61 | (1) |
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61 | (1) |
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62 | (5) |
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3.3.1 Johnson-Cook Damage Model Parameters |
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63 | (1) |
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3.3.2 Impact Model and Analysis |
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64 | (1) |
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65 | (1) |
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66 | (1) |
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66 | (1) |
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3.4 Topology Optimization |
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67 | (10) |
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3.4.1 Optimization Overview |
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67 | (1) |
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68 | (3) |
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3.4.3 Topology Optimization Methods |
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71 | (1) |
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3.4.3.1 Bi-directional Evolutionary Structural Optimization |
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72 | (1) |
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3.4.3.2 Solid Isotropic Material and Penalization Method |
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73 | (1) |
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74 | (3) |
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Chapter 4 Uniaxial Compression of Lattices |
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77 | (14) |
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4.1 Uniaxial Compression of Cylinders |
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77 | (4) |
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4.2 Uniaxial Compression of Cubes |
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81 | (10) |
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89 | (2) |
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Chapter 5 Mechanical Properties of Lattices and Design Variations |
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91 | (18) |
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5.1 Microstructural Assessment |
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91 | (3) |
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5.2 Mechanical Properties of As-Built Lattices |
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94 | (7) |
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101 | (8) |
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107 | (2) |
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Chapter 6 Split Hopkinson Pressure Bar Test Results |
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109 | (16) |
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6.1 Quasi-Static Mechanical Properties of Triply Periodic Minimal Surface Lattices |
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109 | (3) |
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6.2 Dynamic Mechanical Properties of Triply Periodic Minimal Surface Lattices |
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112 | (4) |
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6.3 Plasticity Model Parameters |
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116 | (9) |
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122 | (3) |
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Chapter 7 Strain Rate-Sensitive Constitutive Model for Lattice Structure |
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125 | (14) |
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7.1 Legacy Material Models |
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125 | (1) |
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7.1.1 Quasi-Static Response Models |
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125 | (1) |
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7.1.2 Dynamic Response Models |
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126 | (1) |
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7.2 Proposed Flow Stress Model |
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126 | (6) |
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126 | (1) |
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7.2.2 Determination of Model Parameters |
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127 | (5) |
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7.3 Results and Discussion |
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132 | (7) |
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7.3.1 Quasi-Static Comparison |
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132 | (3) |
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7.3.2 Dynamics Comparison |
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135 | (3) |
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138 | (1) |
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Chapter 8 Lattice Damage Model |
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139 | (8) |
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8.1 Damage Model Parameter Determination |
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139 | (5) |
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8.2 Damage Model Validation |
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144 | (3) |
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146 | (1) |
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Chapter 9 Computational Modeling Techniques and Results |
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147 | (14) |
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9.1 Computational Impact Model |
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147 | (4) |
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9.2 Full Lagrangian Models |
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151 | (1) |
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9.3 Mixed Smoothed Particle Hydrodynamics-Lagrangian Model |
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152 | (1) |
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9.4 Further Comparison of Models |
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153 | (8) |
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159 | (2) |
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Chapter 10 Projectile Impact Results |
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161 | (14) |
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10.1 Experimental Projectile Impact |
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161 | (2) |
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10.2 Computational Projectile Impact |
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163 | (9) |
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10.3 Comparison of Experimental and Computational Results |
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172 | (3) |
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173 | (2) |
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175 | (4) |
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11.1 Summary of Conclusions |
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175 | (4) |
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178 | (1) |
Appendix A TPMS Lattice Structure Generation Code, MATLAB |
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179 | (4) |
Index |
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183 | |