Preface |
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xiii | |
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Chapter 1 Some Issues Related to the Modeling of Dynamic Shear Localization-assisted Failure |
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1 | (52) |
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1 | (2) |
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1.2 Preliminary/fundamental considerations |
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3 | (24) |
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1.2.1 Localization and discontinuity |
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3 | (3) |
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1.2.2 Isothermal versus adiabatic conditions |
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6 | (3) |
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1.2.3 Sources of softening |
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9 | (13) |
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22 | (4) |
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26 | (1) |
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1.3 Small-scale postulate-based approaches |
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27 | (6) |
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1.3.1 Material of the band viewed as an extension of the solid material behavior before ASB onset |
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28 | (1) |
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1.3.2 Material of the band viewed as a fluid material |
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29 | (2) |
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1.3.3 ASB viewed as a damage mechanism |
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31 | (1) |
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32 | (1) |
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1.4 Embedded band-based approaches (large-scale postulate) |
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33 | (11) |
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1.4.1 Variational approaches |
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34 | (4) |
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1.4.2 Enriched finite clement kinematics |
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38 | (3) |
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1.4.3 Enriched constitutive model |
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41 | (2) |
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43 | (1) |
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44 | (1) |
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45 | (1) |
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45 | (8) |
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Chapter 2 Analysis of the Localization Process Prior to the Fragmentation of a Ring in Dynamic Expansion |
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53 | (42) |
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53 | (6) |
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2.1.1 Fragmentation experiments |
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54 | (1) |
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2.1.2 Fragmentation theories |
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54 | (5) |
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2.2 An extension of a linear stability analysis developed in [ MER 03] |
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59 | (11) |
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2.2.1 Position of the problem |
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59 | (1) |
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2.2.2 Classical linear stability analysis |
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60 | (2) |
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2.2.3 Evolution of the cross-section perturbation |
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62 | (3) |
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2.2.4 Analysis of the potential sites of necking |
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65 | (5) |
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2.3 Outcomes of the approach |
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70 | (19) |
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2.3.1 Effects of the loading velocity on neck spacing distribution |
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70 | (2) |
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2.3.2 Effects of an imposed dominant mode in the initial perturbation |
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72 | (11) |
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2.3.3 Comparison of the approach with numerical simulations |
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83 | (6) |
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89 | (1) |
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90 | (5) |
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Chapter 3 Gradient Damage Models Coupled With Plasticity and Their Application to Dynamic Fragmentation |
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95 | (48) |
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95 | (1) |
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96 | (26) |
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3.2.1 Gradient damage models |
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96 | (10) |
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3.2.2 Damage coupled with plasticity |
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106 | (11) |
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3.2.3 Dynamic gradient damage |
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117 | (5) |
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3.3 Numerical implementation |
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122 | (1) |
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123 | (15) |
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124 | (1) |
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124 | (2) |
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3.4.3 Dimensionless parameters |
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126 | (5) |
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131 | (4) |
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3.4.5 Cylinder under internal pressure |
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135 | (3) |
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138 | (1) |
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139 | (4) |
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Chapter 4 Plastic Deformation of Pure Polycrystalline Molybdenum |
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143 | (34) |
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143 | (1) |
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4.2 Quasi-static and dynamic data on a pure polycrystalline Mo |
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144 | (14) |
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4.2.1 Analysis of the quasi-static uniaxial tension test results on smooth specimens |
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147 | (7) |
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4.2.2 Split Hopkinson pressure bar data |
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154 | (1) |
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4.2.3 Taylor cylinder impact data |
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155 | (3) |
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4.3 Constitutive model for polycrystalline Mo |
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158 | (4) |
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4.4 Predictions of the mechanical response |
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162 | (10) |
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4.4.1 FE. predictions of the quasi-static uniaxial tensile response for notched specimens |
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162 | (10) |
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172 | (1) |
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173 | (4) |
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Chapter 5 Some Advantages of Advanced Inverse Methods to Identify Viscoplastic and Damage Material Model Parameters |
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177 | (36) |
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177 | (3) |
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5.2 Experimental devices for material characterization over a large range of strain rates |
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180 | (4) |
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5.3 Identification of elasto-viscoplastic and damage material Parameters |
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184 | (20) |
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5.3.1 Direct approach for material parameter identification |
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184 | (8) |
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5.3.2 Inverse approaches for material parameter identification |
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192 | (12) |
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204 | (1) |
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205 | (1) |
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205 | (8) |
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Chapter 6 Laser Shock Experiments to Investigate Fragmentation at Extreme Strain Rates |
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213 | (24) |
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214 | (1) |
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6.2 Phenomenology of laser shock-induced fragmentation |
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215 | (2) |
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217 | (5) |
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6.4 Microspall after shock-induced melting |
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222 | (3) |
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6.5 Microjetting from geometrical defects |
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225 | (5) |
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230 | (1) |
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231 | (6) |
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Chapter 7 One-dimensional Models for Dynamic Fragmentation of Brittle Materials |
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237 | (26) |
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237 | (5) |
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242 | (2) |
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244 | (14) |
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7.3.1 Mono-phase materials |
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244 | (7) |
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7.3.2 Multi-phase materials |
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251 | (7) |
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258 | (1) |
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259 | (4) |
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Chapter 8 Damage and Wave Propagation in Brittle Materials |
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263 | (34) |
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263 | (1) |
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8.2 Short overview of damage models |
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264 | (11) |
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8.2.1 Effective elasticity of a cracked solid |
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266 | (2) |
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268 | (7) |
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275 | (5) |
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276 | (2) |
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8.3.2 A single family of micro-cracks |
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278 | (2) |
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8.3.3 Three families of micro-cracks |
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280 | (1) |
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8.4 Two-dimensional anti-plane wave propagation |
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280 | (6) |
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8.4.1 Anisotropic damage under isotropic loading |
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281 | (3) |
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8.4.2 Anisotropic loading of an initial isotropic damaged material |
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284 | (2) |
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8.5 Blast impact and damage evolution |
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286 | (5) |
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8.6 Conclusions and perspectives |
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291 | (1) |
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292 | (1) |
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292 | (5) |
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Chapter 9 Discrete Element Anal/sis to Predict Penetration and Perforation of Concrete Targets Struck by Rigid Projectiles |
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297 | (18) |
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297 | (2) |
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9.2 Discrete element model |
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299 | (8) |
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9.2.1 Definition of interactions |
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299 | (1) |
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9.2.2 Constitutive behavior of concrete: Discrete element model |
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300 | (1) |
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9.2.3 Linear elastic constitutive behavior |
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301 | (1) |
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9.2.4 Nonlinear constitutive behavior |
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302 | (3) |
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9.2.5 Strain rate dependency |
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305 | (2) |
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9.3 Simulation of impacts |
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307 | (4) |
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307 | (1) |
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9.3.2 Modeling of impact experiments |
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308 | (3) |
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311 | (1) |
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311 | (4) |
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Chapter 10 Bifurcation Micromechanics in Granular Materials |
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315 | (24) |
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315 | (3) |
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10.2 Application of the second-order work criterion at representative volume element scale |
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318 | (4) |
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10.3 From macro to micro analysis of instability |
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322 | (9) |
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10.3.1 Local second-order work and contact sliding |
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322 | (1) |
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10.3.2 Role of strong contact network in stable and unstable loading directions |
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323 | (3) |
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10.3.3 From contact sliding to mesoscale mechanisms |
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326 | (3) |
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10.3.4 Micromechanisms leading to bifurcation at the representative volume element scale |
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329 | (2) |
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10.4 Diffuse and localized failure in a unified framework |
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331 | (3) |
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10.4.1 Diffuse and localized failure pattern |
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331 | (1) |
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10.4.2 Common micromechanisms and microstructures |
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332 | (2) |
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334 | (1) |
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335 | (4) |
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Chapter 11 Influence of Specimen Size on the Dynamic Response of Concrete |
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339 | (26) |
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339 | (2) |
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11.2 Materials and specimens |
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341 | (2) |
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11.3 Experimental techniques |
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343 | (7) |
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11.3.1 Kolsky compression bar theory and set-up |
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343 | (2) |
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11.3.2 Pulse shaping technique |
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345 | (5) |
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11.4 Results and discussion |
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350 | (10) |
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11.4.1 Pulse shaper design for Kolsky compression bar systems |
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350 | (5) |
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11.4.2 Rate and specimen size effect on failure strength |
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355 | (5) |
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360 | (2) |
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362 | (1) |
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362 | (3) |
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Chapter 12 Shockless Characterization of Ceramics Using High-Pulsed Power Technologies |
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365 | (22) |
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365 | (3) |
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12.1.1 Presentation of the silicon carbide grades |
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367 | (1) |
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12.2 Principle of the GEPI generator |
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368 | (2) |
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12.3 Dynamic compression of ceramics |
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370 | (4) |
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12.3.1 Lagrangian analysis of velocity profiles |
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371 | (1) |
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12.3.2 Experimental results |
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372 | (2) |
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12.4 Dynamic tensile strength of ceramics |
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374 | (6) |
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12.4.1 Experimental methodology and data processing |
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375 | (2) |
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12.4.2 Characterization of two silicon carbide grades |
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377 | (1) |
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12.4.3 Post-mortem analyses of damaged samples |
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378 | (2) |
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380 | (1) |
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381 | (1) |
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381 | (6) |
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Chapter 13 A Eulerian Level Set-based Framework for Reactive Meso-scale Analysis of Heterogeneous Energetic Materials |
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387 | (30) |
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387 | (3) |
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390 | (8) |
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13.2.1 Governing equations |
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390 | (1) |
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13.2.2 Constitutive model for HMX |
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390 | (3) |
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13.2.3 Reactive modeling of HMX |
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393 | (2) |
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13.2.4 Level set representation of embedded interface |
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395 | (1) |
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13.2.5 Image processing approach: Representing real geometries |
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395 | (3) |
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398 | (13) |
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13.3.1 Grid refinement study |
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400 | (1) |
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13.3.2 Collapse behavior of voids present in the pressed HMX material |
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401 | (2) |
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13.3.3 Criticality conditions for Class 111 and Class V samples |
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403 | (2) |
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13.3.4 Meso-scale criticality conditions for pressed energetic materials |
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405 | (6) |
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411 | (1) |
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412 | (1) |
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412 | (5) |
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Chapter 14 A Well-posed Hypoelastic Model Derived From a Hyperelastic One |
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417 | (12) |
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417 | (1) |
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14.2 A general hyperelastic model formulation |
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418 | (2) |
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14.3 Evolution equation for the deviatoric part of the stress tensor: neo-Hookean solids |
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420 | (4) |
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14.3.1 Expression of tr(b) as a function of the invariants of S |
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421 | (2) |
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14.3.2 Hypoelastic formulation |
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423 | (1) |
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424 | (1) |
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425 | (1) |
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425 | (4) |
Appendix A: Case a = 0.5 |
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429 | (4) |
List of Authors |
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433 | (4) |
Index |
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437 | |