Continuum Mechanics

Lecturer:

Ladislav Samek

Tutor:

Ladislav Samek

Supervisor:

Department of Applied Physics

Synopsis:

Tensor Calculus; Curvilinear coordinates; Covariant Derivative and Absolute derivative; Christoffel Symbols; Divergence and Curl; Laplacian. Traction or Stress Vector; Principal Axes of Stress and Principal Stresses; Kinematics of a Continuous Medium; Rate-of-defor-mation Tenzor; Tenzor Finite Strain and deformation; Kompability Conditions; Equation of Motion and Equilibrium; Generalized Hookes Law; Ideal Fluid; Linearly viscous (Newtonian) Fluid; Laminar and turbulent Flow; Navier-Stokes Equations; Euler Equation; Bernoulli Equation; Acoustic Waves; Dimensional Analysis; Boundary-Layer Equation.

Requirements:

Basic knowledge of the Fundamentals courses Physics I, Physics II, differential and integral calculus. The examen is written and oral.

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

The main purpose of the subject is to provide students information about basic of Tensor Calculus; Curvilinear coordinates; Covariant Derivative and Absolute derivative; Christoffel Symbols; Divergence, Curl, and another problems, concerning kinematics and dynamics of a Continuous Medium, and to give fundamentals of issues concerning the application of this in different areas of industry, particularly in mechanical engineering. The aim of the study is to provide students with advanced knowledge of the subject, which can be applied in their career. The students should be able to propose the optimal solution of the problems for a given application.

Study materials:

Joseph D.: Fluid Dyna,ics of Viscoelastic Liquids. Springer-Verlag 1990.

Malecki I.: Physical Foundations of technical Acoustics. Pergamon Press, 1969.

Spurk J., H.: Stromungslehre. Springer-Verlag, 1989.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: