Preface | p. v |
Introduction | p. 1 |
Mechanical Principles | p. 7 |
Notation | p. 7 |
Material Bodies, Configurations, and Motions | p. 8 |
Force and Stress | p. 17 |
Governing Equations | p. 20 |
Differential Equations Describing Smooth Fields | p. 22 |
Jump Equations Describing Plane Shocks | p. 26 |
Jump Equations Describing Plane Steady Waves | p. 31 |
Concluding Remarks on Mechanical Principles | p. 33 |
Exercises | p. 34 |
Plane Longitudinal Shocks | p. 37 |
Full-field Solutions | p. 37 |
Propagation of a Shock into Quiescent Material | p. 38 |
Symmetrical Plate-impact Experiment | p. 40 |
Hugoniot Relations | p. 41 |
Longitudinal Stability of Plane Shocks | p. 46 |
Unsymmetrical Plate-impact Experiment | p. 48 |
Plane-shock Interactions | p. 51 |
Shock Interacting with a Material Interface | p. 51 |
Shock Interaction with a Boundary | p. 53 |
Shock Interacting with Another Shock | p. 57 |
Exercises | p. 60 |
Material Response I: Principles | p. 63 |
General Remarks About Constitutive Equations | p. 63 |
Invariance Principles | p. 65 |
Transformation of Spatial Coordinates | p. 65 |
Principle of Objectivity | p. 67 |
Material Symmetry | p. 68 |
Thermodynamic Principles | p. 71 |
Thermoelastic Materials | p. 73 |
Thermoelastic Materials with Internal State Variables | p. 76 |
Exercises | p. 78 |
Material Response II: Inviscid Compressible Fluids | p. 81 |
Thermodynamic Properties of Fluids | p. 82 |
Thermodynamic Coefficients of Fluids | p. 84 |
Relationships Among the Thermodynamic Coefficients | p. 84 |
The Ideal Gas Equation of State | p. 87 |
Mie-Gruneisen Equation of State | p. 92 |
Specific Heat Coefficient for a Crystalline Solid | p. 92 |
Complete Mie-Gruneisen Equation of State | p. 95 |
Thermodynamic Response Curves | p. 101 |
Relationships Among Thermodynamic Response Curves | p. 111 |
Exercises | p. 119 |
Material Response III: Elastic Solids | p. 121 |
Objective Stress Relation | p. 121 |
Third-order Stress and Temperature Equations of State | p. 122 |
Stress and Temperature Relations for Isotropic Materials | p. 124 |
Separation of Dilatation and Distortion | p. 127 |
Finite Dilatation Combined with Small Distortion | p. 131 |
Exercises | p. 134 |
Material Response IV: Elastic-Plastic and Elastic-Viscoplastic Solids | p. 135 |
Elastic-Plastic Response to Small Strain | p. 138 |
Elastic-Plastic Response to Finite Uniaxial Deformation | p. 148 |
Finite Elastic-Viscoplastic Deformation | p. 157 |
Constitutive Equations for Viscoplastic Flow | p. 159 |
Constitutive Equations for Thermoelastic Response | p. 165 |
Uniaxial Deformation | p. 166 |
Exercises | p. 168 |
Weak Elastic Waves | p. 169 |
Linear Theory of Elastic Waves | p. 169 |
Initial-value Problem | p. 174 |
Boundary-value Problem | p. 176 |
Wave Propagation into an Undisturbed Body | p. 179 |
Domains of Dependence and Influence | p. 180 |
Characteristic Coordinates | p. 181 |
Plate of Finite Thickness | p. 183 |
Unrestrained Boundary | p. 183 |
Wave Interaction at a Material Interface | p. 186 |
Exercises | p. 191 |
Finite-amplitude Elastic Waves | p. 193 |
Nonlinear Wave Equation | p. 193 |
Qualitative Discussion of Elastic Wave Propagation | p. 196 |
Characteristic Curves | p. 197 |
Simple Waves | p. 201 |
Lagrangian Analysis | p. 202 |
Eulerian Analysis | p. 209 |
The Centered Simple Wave | p. 216 |
Shock Reflection from an Unrestrained Boundary | p. 225 |
Combined Centered Simple Waves and Shocks | p. 229 |
Comparison of Transitions Through Simple Waves and Weak Shocks | p. 230 |
Formation and Attenuation of Shocks | p. 232 |
Shock Formation | p. 232 |
Shock Attenuation | p. 234 |
Collision of Two Centered Simple Decompression Waves | p. 236 |
Exercises | p. 245 |
Elastic-Plastic and Elastic-Viscoplastic Waves | p. 247 |
Weak Elastic-Plastic Waves | p. 247 |
Compression Shocks | p. 248 |
Impact of Thick Plates | p. 251 |
Decompression Shocks | p. 252 |
Reflection from an Immovable Boundary | p. 256 |
Reflection From an Unrestrained Boundary | p. 258 |
Interaction with a Material Interface | p. 264 |
Impact of Plates of Finite Thickness | p. 264 |
Pulse Attenuation | p. 269 |
Numerical Solution of Weak Elastic-Plastic Wave-propagation Problems | p. 274 |
Finite-amplitude Elastic-Plastic Waves | p. 275 |
Finite-amplitude Elastic-Viscoplastic Waves | p. 277 |
Analysis of the Precursor Shock | p. 277 |
Steady Waves in Elastic-Viscoplastic Solids | p. 283 |
Exercises | p. 290 |
Porous Solids | p. 293 |
Materials of Very Low Density: Snowplow Model | p. 294 |
Strong Shocks | p. 298 |
Shocks of Moderate Strength: The p-[alpha] Theory | p. 303 |
Spall Fracture | p. 317 |
Experimental Means of Producing Spall Fracture | p. 318 |
Plate-impact Experiment | p. 319 |
Explosive Loading Experiment | p. 327 |
Pulsed-radiation Absorption Experiment | p. 331 |
Criteria for Spall-damage Accumulation | p. 333 |
Simple Damage-accumulation Criteria | p. 333 |
Compound Damage-accumulation Criteria | p. 334 |
Continuum Theory of Deformation and Damage Accumulation | p. 336 |
Steady Detonation Waves | p. 343 |
The Chapman-Jouguet (CJ) Detonation | p. 344 |
Strong Detonation | p. 351 |
Taylor Decompression Wave | p. 352 |
Zel'dovich-von Neumann-Doring (ZND) Detonation | p. 358 |
Weak Detonation | p. 364 |
Closing Remarks on Detonation Phenomena | p. 364 |
Solutions to the Exercises | p. 367 |
Mechanical Principles | p. 367 |
Plane Longitudinal Shocks | p. 377 |
Material Response I: Principles | p. 385 |
Material Response II: Inviscid Compressible Fluids | p. 388 |
Material Response III: Elastic Solids | p. 394 |
Material Response IV: Elastic-Plastic and Elastic-Viscoplastic Solids | p. 402 |
Weak Elastic Waves | p. 407 |
Nonlinear Elastic Waves | p. 412 |
Elastic-Plastic and Elastic-Viscoplastic Waves | p. 418 |
References | p. 427 |
Index | p. 433 |
Table of Contents provided by Ingram. All Rights Reserved. |