Lectures related to Naturally Curved Hair in 2D

Structural Mechanics: Beam Bending and Boundary Conditions

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Explores the behavior of naturally curved hair in a 2D space under gravity.

Delves into the mechanics of naturally curved hair, exploring its shape under gravity and the effects of weak and strong gravity.

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.

Continuum Mechanics: Forces and Deformation

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

Mechanics of Kirchhoff Rods II

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

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.

Structural Mechanics Fundamentals

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

Beam Analysis: Distributed Loads and Internal Forces

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

Naturally Curved Hair in 2D

Explores the behavior of naturally curved hair falling under gravity and the mathematical equations governing its shape.

Mechanics of Continuous Media: Torsion and Traction

Explores stress and deformation in torsional structures under loading conditions.

Mechanics of Continuous Media

Covers the fundamentals of mechanics of continuous media, focusing on stress, equilibrium, and torsion revisited.

Continuum Mechanics: Material Behavior and Boundary Conditions

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

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.

Numerical Flow Simulation: Boundary Conditions

Covers the numerical simulation workflow for fluid dynamics, focusing on boundary conditions and their importance for solution convergence.

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.

Fluid Mechanics: Foundations and Applications

Covers the foundations of fluid mechanics, focusing on flow problem descriptions and solutions.

Perturbed Boundary Conditions

Covers perturbed boundary conditions in fluid mechanics and linearization of dynamic systems.

Finite Element Method: Basics and Applications

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

Numerical Flow Simulation: Basics and Boundary Conditions

Covers the basics of numerical flow simulation, including boundary conditions and geometry reduction.