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
3.5.3 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 Pulse 6.2.2 General Pulse 6.3 Impact on a Cantilever 6.4 General Features of Traveling Hinges Problems 6 7 Effects of Tensile and Shear Forces 7.1 Simply Supported Beams with no Axial Constraint at Supports 7.1.1 Phase Ⅰ 7.1.2 Phase Ⅱ 7.2 Simply Supported Beams with Axial Constraint at Supports 7.2.1 Bending Moment and Tensile Force in a Rigid-Plastic Beam 7.2.2 Beam with Axial Constraint at Support 7.2.3 Remarks 7.3 Membrane Factor Method in Analyzing the Axial Force Effect 7.3.1 Plastic Energy Dissipation and the Membrane Factor 7.3.2 Solution using the Membrane Factor Method 7.4 Effect of Shear Deformation
7.4.2 Bending-Shear Theory 7.5 Failure Modes and Criteria of Beams under Intense Dynamic Loadings 7.5.1 Three Basic Failure Modes Observed in Experiments 7.5.2 The Elementary Failure Criteria 7.5.3 Energy Density Criterion 7.5.4 A Further Study of Plastic Shear Failures Questions 7 Problems 7 8 Mode Technique, Bound Theorems, and Applicability of the Rigid-PerfectlyPlastic Model 8.1 Dynamic Modes of Deformation 8.2 Properties of Modal Solutions 8.3 Initial Velocity of the Modal Solutions 8.4 Mode Technique Applications 8.4.1 Modal Solution of the Parkes Problem 8.4.2 Modal Solution for a Partially Loaded Clamped Beam 8.4.3 Remarks on the Modal Technique 8.5 Bound Theorems for RPP Structures 8.5.1 Upper Bound of Final Displacement 8.5.2 Lower Bound of Final Displacement 8.6 Applicability of an RPP Model Problems 8 9 Response of Rigid-Plastic Plates 9.1 Static Load-Carrying Capacity of Rigid-Plastic Plates 9.1.1 Load Capacity of Square Plates 9.1.2 Load Capacity of Rectangular Plates 9.1.3 Load-Carrying Capacity of Regular Polygonal Plates 9.1.4 Load-Carrying Capacity of Annular Plate Clamped at its Outer Boundary 9.1.5 Summary 9.2 Dynamic Deformation of Pulse-Loaded Plates 9.2.1 The Pulse Approximation Method 9.2.2 Square Plate Loaded by Rectangular Pulse 9.2.3 Annular Circular Plate Loaded by Rectangular Pulse Applied on its Inner Boundary 9.2.4 Summary 9.3 Effect of Large Deflection 9.3.1 Static Load-Carrying Capacity of Circular Plates in Large Deflection 9.3.2 Dynamic Response of Circular Plates with Large Deflection Problems 9 10 Case Studies 10.1 Theoretical Analysis of Tensor Skin 10.1.1 Introduction to Tensor Skin 10.1.2 Static Response to Uniform Pressure Loading 10.1.3 Dynamic Response of Tensor Skin 10.1.4 Pulse Shape 10.2 Static and Dynamic Behavior of Cellular Structures 10.2.1 Static Response of Heraoonal Honeycomb 10.2.2 Static Response of Generalized Honeycombs 10.2.3 Dynamic Response of Honeycomb Structures
10.3.3 Optimal Design of Sandwich Plates 10.4 Collision and Rebound of Circular Rings and Thin-Walled Spheres on Rigid Target 10.4.1 Collision and Rebound of Circular Rings 10.4.2 Collision and Rebound of Thin-Walled Spheres 10.4.3 Concluding Remarks References Index
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