Intrinsic Dynamics of Materials

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Solid State Engineering

Synopsis:

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.

Requirements:

Basic knowledge in solid state physics (crystal lattice and its defects, diffusion, plasticity) within the frame of courses 11FKO1 or 11KOV, wave mechanics (equivalent to the course 02VOAF) and thermodynamics (equivalent to the course 02TSFA).

Syllabus of lectures:

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.

Syllabus of tutorials:

Study Objective:

Knowledge:

After the course, the students should be familiar with the basic problems associated with internal dynamics of materials and the time-scales and spatial scales to which these phenomena belong. The students should be also aware of the examples of experimental observations and applications of the discussed problems in various branches of the materials science.

Skills:

Calculation of the attenuation coefficients for various material systems, calculation of velocities of plastic wave-fronts and phase transition fronts.

Study materials:

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.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: