Lectures related to Mechanics of Continuous Media

Finite Element Method: Basics and Applications

Covers the basics of the Finite Element Method for solid and structural modeling.

Linear Elasticity: Equations of Linear Elasticity

Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.

Analyzing a Physics Problem: Exercise 2

Focuses on analyzing a complex physics problem involving a material point constrained to move in a plane.

Derivation of Boundary Conditions in Mechanics of Slender Structures

Covers the derivation of boundary conditions in mechanics of slender structures, focusing on total energy variation and equilibrium equations.

Mechanics: Forces and Energy

Explores the resolution of forces and energy calculations in mechanics using Newton's laws and trigonometric formulas.

Beam Analysis: Distributed Loads and Internal Forces

Covers beam analysis under distributed loads, focusing on internal forces and moments.

Structural Mechanics Fundamentals

Introduces the fundamentals of structural mechanics, covering equilibrium, boundary conditions, free-body diagrams, and constraints.

Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Work and Energy: Mechanics

Explores work in mechanics, kinetic and potential energy, conservative forces, and the conservation of mechanical energy.

Continuum Mechanics: Forces and Deformation

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Mechanics: Work, Power, Energy, Equilibrium

Covers the concepts of work, power, energy, equilibrium, and stability in mechanics.

Mechanics of Kirchhoff Rods II

Explores the mechanics of Kirchhoff rods, focusing on kinematics, twisted solutions, and recent developments in rod mechanics.

Naturally Curved Hair in 2D

Delves into the mechanics of slender structures, analyzing naturally curved hair in 2D under gravity.

Mechanics: Potential Energy and Oscillations

Explores potential energy, equilibrium points, and oscillations in mechanics.

Mechanical Energy: Equilibrium and Oscillations

Explores mechanical energy, equilibrium, and small oscillations in rectilinear motion.

Virtual Work Principles: Energy and Mechanics

Covers work, potential energy, and the principle of virtual work in structural mechanics.

Continuum Mechanics: Material Behavior and Boundary Conditions

Discusses material behavior, boundary conditions, elliptical connections, and solutions in continuum mechanics.

Linear Momentum Balance in Continuum Mechanics

Covers the evaluation of linear momentum balance in continua, focusing on stress vectors and tensors, and deriving the governing equations for momentum conservation.

Mechanics of Continuous Media: Torsion and Traction

Explores stress and deformation in torsional structures under loading conditions.

Mechanics: Equilibrium Points and Stability

Explores equilibrium points and stability in mechanical systems, analyzing how systems return to or move away from their positions after disturbances.