Cover -- Title page -- Table of Contents -- Introduction -- PART 1. DYNAMICS OF SOLIDS -- Chapter 1. Motion within Solids -- 1.1. Representation of the medium -- 1.1.1. Framework of continuum mechanics -- 1.1.2. Representation of motion -- 1.1.3. Representation of internal forces -- 1.2. Elastodynamic equations -- 1.2.1. Navier equations -- 1.2.2. Strain waves -- 1.3. One-dimensional waves -- 1.3.1. Uniaxial stress state -- 1.3.2. Uniaxial strain state -- 1.3.3. The d'Alembert solution -- 1.4. Harmonic waves -- 1.4.1. Definitions -- 1.4.2. Wave dispersion -- 1.4.3. Dispersion of waves in a rod -- 1.5. Viscoelasticity -- 1.5.1. Representation of rheological behavior -- 1.5.2. Creep and relaxation functions -- 1.5.3. Rheological models -- 1.5.4. Complex modulus -- 1.5.5. Waves in viscoelastic media -- Chapter 2. Shocks in Solids -- 2.1. Discontinuity of stress and velocity -- 2.1.1. Conservation equations -- 2.1.2. State diagram -- 2.2. Wave course -- 2.2.1. Lagrange diagram -- 2.2.2. Reflection on a free extremity -- 2.2.3. Reflection on a fixed extremity -- 2.2.4. Diffraction at an interface -- 2.2.5. Waves and modes -- 2.3. Shocks of solids -- 2.3.1. Shocks of two solids -- 2.3.2. Successive shocks -- 2.3.3. Wave trapping and cracking -- 2.4. Shocks on viscoelastic solids -- 2.4.1. Conditions at the interface -- 2.4.2. Impact of an elastic solid on a viscoelastic solid -- 2.4.3. Shock of two viscoelastic solids -- 2.4.4. Propagation of shock in a Maxwell solid -- Chapter 3. Waves and Shocks in a Nonlinear Medium -- 3.1. Irreversible phenomena -- 3.1.1. Impact velocity -- 3.1.2. Load paths -- 3.1.3. Strain velocity -- 3.1.4. Shear and plasticity -- 3.1.5. Behavior under high pressure -- 3.2. Adiabatic shear -- 3.2.1. Dynamic and thermal -- 3.2.2. Adiabatic shear condition -- 3.3. Propagation in uniaxial stress state.

3.3.1. Elastoplastic material -- 3.3.2. Viscoplastic material -- 3.4. Uniaxial strain state -- 3.4.1. Metallic material -- 3.4.2. Geomaterial -- 3.5. Shock waves -- 3.5.1. Origin of the phenomenon -- 3.5.2. Compaction at the passage of a shock wave -- 3.5.3. Notion of state law -- Chapter 4. Dynamic Materials Testing -- 4.1. Dynamic testing -- 4.1.1. Testing means -- 4.1.2. Specific difficulty -- 4.2. Hopkinson pressure bars -- 4.2.1. Device -- 4.2.2. Principle of the test -- 4.2.3. Analysis of the test -- 4.2.4. Types of loads -- 4.3. Testing by direct impact -- 4.3.1. Device -- 4.3.2. Analysis of the test -- 4.4. Taylor impact test -- 4.4.1. Principle of the test -- 4.4.2. Simplified analysis -- 4.5. Plate impact -- 4.5.1. Devices -- 4.5.2. Analysis elements -- PART 2. DYNAMIC OF STRUCTURES -- Chapter 5. Impact on a Simple Structure -- 5.1. Basic structure -- 5.1.1. Linear system with one degree of freedom -- 5.1.2. Short-term loads -- 5.2. Shock response spectrum -- 5.2.1. "Slot" impulse -- 5.2.2. Various types of pulses -- 5.2.3. Alternating loading -- 5.2.4. Dynamic amplification factor -- 5.3. Iso-damage curves -- 5.3.1. Impulsive loading -- 5.3.2. Alternating load -- 5.4. Modeling a real structure -- 5.4.1. Definition of an equivalent system -- 5.4.2. Beams in flexion -- 5.4.3. Shock on a beam -- 5.4.4. Blast on a beam -- 5.4.5. Shock on a mass supported by a mast -- 5.4.6. Shock on a structure -- Chapter 6. Collisions of Structures -- 6.1. Shocks on elastic structures -- 6.1.1. Equations of motion -- 6.1.2. Impact of a relatively flexible projectile -- 6.1.3. Coupling in a collision of two structures -- 6.1.4. Fall of a rigid body onto a flexible structure -- 6.2. Shock with crushing -- 6.2.1. Crushing phenomena -- 6.2.2. Impact force -- 6.3. Classification of shocks -- 6.3.1. Hard shock and soft shock -- 6.3.2. Shock with rebound or crushing.

Chapter 7. Explosions and Blasts -- 7.1. Accidental explosions -- 7.1.1. Importance of the risk of explosion -- 7.1.2. Gas explosion process -- 7.1.3. Explosion with confinement -- 7.2. Pressure waves -- 7.2.1. External wave from a detonation -- 7.2.2. External wave after deflagration -- 7.3. Action of an explosion on a structure -- 7.3.1. Reflection of a shock wave -- 7.3.2. Response spectrum to a detonation -- 7.3.3. Simplified model of an action on a structure -- 7.4. Blast-structure coupling -- 7.4.1. Coupling conditions -- 7.4.2. Linear approach to coupling -- Chapter 8. Mechanical Response of Beams -- 8.1. Dynamic beam models -- 8.1.1. Notations -- 8.1.2. Bernoulli model -- 8.1.3. Rayleigh model -- 8.1.4. Timoshenko model -- 8.2. Impacts on beams -- 8.2.1. Adaptation of the model to a time scale -- 8.2.2. Impact at the center of a beam -- 8.2.3. Beam acted upon by a blast -- 8.2.4. Solicitation in a section of a beam under impact -- 8.3. Calculation by modal superposition -- 8.3.1. Eigenmodes of displacement -- 8.3.2. Modal base projection -- 8.3.3. Example of a blast against a wall -- 8.3.4. Transfer function through a bending element -- 8.4. Dynamic buckling -- 8.4.1. Equation of motion for elastic buckling -- 8.4.2. Response to a pulse -- Chapter 9. Responses of Multiple Degree of Freedom Structures -- 9.1. Modeling through a discrete system -- 9.1.1. Equations of motion -- 9.1.2. Search for eigenmodes -- 9.2. Resolution by modal superposition -- 9.2.1. Projection on a modal base -- 9.2.2. Example -- 9.3. Fluid-structure coupling -- 9.3.1. Small movements of fluids -- 9.3.2. Concept of added mass -- 9.3.3. Sloshing mode -- 9.3.4. Coupling with a structure -- Chapter 10. Response of a Nonlinear Structure -- 10.1. Nonlinear behavior of structures -- 10.1.1. Metallic structures -- 10.1.2. Reinforced concrete structures.

10.1.3. Flexion and extension in large displacements -- 10.2. Nonlinear system with one degree of freedom -- 10.2.1. Formula -- 10.2.2. Pulse load -- 10.2.3. Plastic rigid approach -- 10.3. The case of elastoplastic behavior -- 10.3.1. Pulse load -- 10.3.2. Nonlinear response spectrum -- 10.3.3. Equivalent system -- 10.4. Approach of response to a violent impact -- 10.4.1. Shock on a beam -- 10.4.2. Impact of a distributed load -- Bibliography -- Index.