Description:

The course gives an introductory overview of dynamical phenomena taking place in the materials, with the main focus laid on the elastic wave propagation (and its interaction with the microstructure), dynamic plasticity, phase transition fronts kinetics, and dynamic fracture mechanics.

Contents:

Fundamentals of the continuum elastodynamics, the elastodynamic equation and its general solution - wave propagation and vibrations. Classification of dynamical processes in solids. Geometrical aspects of wave propagation, wave fronts, energy fluxes, Huygen?s and Fermat?s principle. Theoretical models of wave attenuation in materials, the attenuation coefficient, Christoffel?s equation with complex parameters, relaxation times and relaxation damping. Thermoelastic damping in materials with thermal expansion, dislocation damping of shear waves (Granato-Lücke theory). Dynamic plasticity, von Karman-Duwez problem, Taylor?s test and its theoretical explanation. Basic models of transition front propagations in solids. Stefan?s problem, transition front motion in a thermal gradient, kinetcs of precipitation in a supersaturated solid solution. Motion of a martensitic transition front, FPU-lattices in the d?Alembertian formalism, acoustic emission of the martensitic front, transition front interaction with a shock-like elastic loading. Fundamentals of high-speed brittle fracture. Broberg?s problem, fracture along the bimaterial interface, Rayleigh?s barrier, intersonic fracture.

Recommended literature:

Key references:
[1] M.A.Meyers: Dynamic Behavior of Materials. New York: John Wiley & Sons 1994.

Recommended references:
[1] R. Truell, Ch. Elbaum, B.B. Chick: Ultrasonic Methods in Solid State Physics. NewYork: Academic Press 1969.

Keywords:

Dynamic behavior of materials; internal friction and damping; plastic waves; phase transition front kinetics; fracture dynamics.

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar