Course Code TAE506
Semester 8
Category Optional
Points 3
ECTS Units 6
Recommended Reading

1. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon Press, 1971
2. «A Introductory Course in Continuum Mechanics», Ι.D.Xatsidemetriou, G. Bozis.
3. «A treatise on ANALYTICAL DYNAMICS», L.A. Pars.
4. «A Course in Continuum Mechanics», L. Sedov.
5. « Continuum Mechanics», P. Chadwick.

Course Description

A. Classical Field Theory

1. Electromagnetic field equations.
2. Radiation of electromagnetic waves.
3. Particle motion in gravitational field.
4. Gravitational field equations.

B. Continuum Mechanics

1. Introduction and basic concepts Elements of Tensor Calculus. Basic concepts and methods in Continuum Mechanics.
2. Kinematics
Lagrange and Euler representation. Velocity distributions. Deformation tensor. Rate deformation tensor.
3. Dynamics
Stress vector and stress tensor.  Equations of motion for the continuum body.
4. Linear elastic body.
5. Ideal Fluid.
6. Newtonean fluid.

C. Elements of Analytical Mechanics

1. Variation principles and Hamilton’s principle.
2. Canonical transformations and the Hamilton-Jacobi equation.
3. Kinematics and dynamics of rigid body.