Mechanics of Viscoelastic Materials and Wave Dispersion

Over the last 50 years, the various available methods of investigating dynamic properties of materials have resulted in significant advances in this area of materials science. Dynamic tests have also recently proven to be as efficient as static tests, and have the advantage that they are often easier to use at lower frequency. This book explores dynamic testing, the methods used, and the experiments performed, placing a particular emphasis on the context of bounded medium elastodynamics. The book initially focuses on the complements of continuum mechanics before moving on to the various types of rod vibrations: extensional, bending and torsional. In addition, chapters contain practical examples alongside theoretical discussion to facilitate the reader's understanding. The results presented are the culmination of over 30 years of research by the authors and will be of great interest to anyone involved in this field.

Part A: Complements on constitutive equations, Elasticity, Viscoelasticity and Formulation of equations of motions in bounded media. 1. Elements of anisotropic elasticity and previsional calculation for composite material. 2. Elements of linear viscoelasticity. 3. Two useful topics in applied viscoelasticity: Williams-Landel.Ferry's method and closed form expression of frequency responses -Constitutive equations for viscoelastic materials. 4. Formulation of equations of motions by various methods and practical considérations. Part B: Vibrations of rods and ultrasonic progressive waves in thick plates. 5. Torsional vibration of rod. 6. Bending vibration of rod. 7. Longitudinal vibration of rod. 8. Very low frequency vibrations of rod by Le Rolland-Sorin's double pendulum. 9. Vibrations of ring and hollow cylinders. 10. Ultrasonic wave propagation. 11. Viscoelastic moduli of materials deduced from harmonic responses of beam. 12. Continuous element method utilized as solution of inverse problem in viscoelasticity.