Preface vii Introduction ix Part 1 Stress Waves in Solids I 1 Elastic Waves 1.1 Elastic Wave in a Uniform Circular Bar 1.1.1 The Propagation of a Compressive Elastic Wave 1.2 Types of Elastic Wave 1.2.1 Longitudinal Waves 1.2.2 Transverse Waves 1.2.3 Surface Wave (Rayleigh Wave) 1.2.4 Interfacial Waves 1.2.5 Waves in Layered Media (Love Waves) 1.2.6 Bending (Flexural) Waves 1.3 Reflection and Interaction of Waves 1.3.1 Mechanical Impedance 1.3.2 Waves When they Encounter a Boundary 1.3.3 Reflection and Transmission of 1D Longitudinal Waves Questions 1 Problems 1 2 Elastic-Plastic Waves 2.1 One-Dimensional Elastic-Plastic Stress Wave in Bars 2.1.1 A Semi-Infinite Bar Made of Linear Strain-Hardening Material Subjected to a Step Load at its Free End 2.1.2 A Semi-Infinite Bar Made of Decreasingly Strain-Hardening Material Subjected to a Monotonically Increasing Load at its Free End 2.1.3 A Semi-Infinite Bar Made of Increasingly Strain-Hardening Material Subjected to a Monotonically Increasing Load at its Free End 2.1.4 Unloading Waves 2.1.5 Relationship Between Stress and Particle Velocity 2.1.6 Impact of a Finite-Length Uniform Bar Made of Elastic-Linear Strain-Hardening Material on a Rigid Flat Anvil 2.2 High-Speed Impact of a Bar of Finite Length on a Rigid Anvil (Mushrooming) 2.2.1 Taylor's Approach 2.2.2 Hawkyard's Energy Approach Questions 2 Problems 2 Part 2 Dynamic Behavior of Materials under High Strain Rate 3 Rate-Dependent Behavior of Materials 3.1 Materials'Behavior under High Strain Rates 3.2 High-Strain-Rate Mechanical Properties of Materials 3.2.1 Strain Rate Effect of Materials under Compression 3.2.2 Strain Rate Effect of Materials under Tension 3.2.3 Strain Rate Effect of Materials under Shear 3.3 High-Strain-Rate Mechanical Testing 3.3.1 Intermediate-Strain-Rate Machines 3.3.2 Split Hopkinson Pressure Bar (SHPB) 3.3.3 Expanding-Ring Technique 3.4 Explosively Driven Devices 3.4.1 Line-Wave and Plane-Wave Generators 3.4.2 Flyer Plate Accelerating _ 3.4.3 Pressure.Shear Impact Configuration 3.5 Gun Systems 3.5.1 One-Stage Gas Gun 3.5.2 Two-Stage Gas Gun 3.5.3 Electric Rail Gun Problems 3 4 Constitutive Equations at High Strain Rates 4.1 Introduction to Constitutive Relations 4.2 Empirical Constitutive Equations 4.3 Relationship between Dislocation Velocity and Applied Stress 4.3.1 Dislocation Dynamics 4.3.2 Thermally Activated Dislocation Motion 4.3.3 Dislocation Drag Mechanisms 4.3.4 Relativistic Effects on Dislocation Motion 4.3.5 Synopsis 4.4 Physically Based Constitutive Relations 4.5 Experimental Validation of Constitutive Equations Problems 4 Part 3 Dynamic Response of Structures to Impact and Pulse Loading 5 Inertia Effects and Plastic Hinges 5.1 Relationship between Wave Propagation and Global Structural Response 5.2 Inertia Forces in Slender Bars 5.2.1 Notations and Sign Conventions for Slender Links and Beams 5.2.2 Slender Link in General Motion 5.2.3 Examples of Inertia Force in Beams 5.3 Plastic Hinges in a Rigid-Plastic Free-Free Beam under Pulse Loading 5.3.1 Dynamic Response of Rigid-Plastic Beams 5.3.2 A Free-Free Beam Subjected to a Concentrated Step Force 104boi 5.3.3 Remarks on a Free-Free Beam Subjected to a Step Force at its Midpoint 5.4 A Free Ring Subjected to a Radial Load 5.4.1 Comparison between a Supported Ring and a Free Ring Questions 5 Problems 5 6 Dynamic Response of Cantilevers 6.1 Response to Step Loading 6.2 Response to Pulse Loading 6.2.1 Rectangular
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