Introduction xi
PART 1. DYNAMICS OF SOLIDS 1
Chapter 1. Motion within Solids 3
1.1. Representation of the medium 3
1.2. Elastodynamic equations 8
1.3. One-dimensional waves 12
1.4. Harmonic waves 16
1.5. Viscoelasticity 23
Chapter 2. Shocks in Solids 37
2.1. Discontinuity of stress and velocity 37
2.2. Wave course 42
2.3. Shocks of solids 50
2.4. Shocks on viscoelastic solids 59
Chapter 3. Waves and Shocks in a Nonlinear Medium 67
3.1. Irreversible phenomena 67
3.2. Adiabatic shear 76
3.3. Propagation in uniaxial stress state 80
3.4. Uniaxial strain state 88
3.5. Shock waves 95
Chapter 4. Dynamic Materials Testing 103
4.1. Dynamic testing 103
4.2. Hopkinson pressure bars 106
4.3. Testing by direct impact 112
4.4. Taylor impact test 113
4.5. Plate impact 115
PART 2. DYNAMIC OF STRUCTURES 117
Chapter 5. Impact on a Simple Structure 119
5.1. Basic structure119
5.2. Shock response spectrum 124
5.3. Iso-damage curves 135
5.4. Modeling a real structure 138
Chapter 6. Collisions of Structures 153
6.1. Shocks on elastic structures 153
6.2. Shock with crushing 159
6.3. Classification of shocks 168
Chapter 7. Explosions and Blasts 173
7.1. Accidental explosions 173
7.2. Pressure waves 179
7.3. Action of an explosion on a structure 188
7.4. Blast-structure coupling 194
Chapter 8. Mechanical Response of Beams 203
8.1. Dynamic beam models 203
8.2. Impacts on beams 211
8.3. Calculation by modal superposition 226
8.4. Dynamic buckling 239
Chapter 9. Responses of Multiple Degree of Freedom Structures 245
9.1. Modeling through a discrete system 245
9.2. Resolution by modal superposition 249
9.3. Fluid-structure coupling 255
Chapter 10. Response of a Nonlinear Structure 267
10.1. Nonlinear behavior of structures 267
10.2. Nonlinear system with one degree of freedom 281
10.3. The case of elastoplastic behavior 284
10.4. Approach of response to a violent impact 292
Bibliography 299
Index 309
