This course provides a foundational understanding of continuum mechanics, emphasizing the following key areas:
The Basic Hypothesis in Continuum Mechanics
Kinematical Description (Material and Spatial Descriptions).
Displacement Gradient and Material Derivative.
Key Theorems and Balance Laws
Reynolds Transport Theorem.
Balance Laws: Mass, Momentum, and Energy.
Introduction to Fluid Mechanics
Incompressible Fluids and Inviscid Fluids.
Equations of Continuity.
Bernoulli’s Equation.
Constitutive Equations
Equations for Solids and Fluids.
Problem Solving
Simple Problems of Motion and Deformation of Solids.
Simple Problems of Motion and Deformation of Fluids.
Partial Differential Equations
Equations of the 1st and 2nd Order.
Wave Mechanics
Waves in Solids and Fluids.
Advanced Topics
Navier-Stokes Equations.
Prandtl’s Boundary Layer Theory.
- Teacher: Χαράλαμπος Γεωργιάδης
ECTS : 4
Language : el