Lectures related to Mechanics of Kirchhoff Rods II

Kirchhoff Rods: Kinematics and Twisted Solutions

Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Continuum Mechanics: Forces and Deformation

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

Structural Mechanics Fundamentals

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

Perturbed Boundary Conditions

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

Introduction to Structural Mechanics

Covers hyperstatic-hypostatic systems, equilibrium, and constraints in structural mechanics.

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.

Mechanics of Kirchhoff Rods I

Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.

Mechanics of Slender Structures: Dimensional Analysis and Scalings

Explores the use of dimensional analysis and scalings in understanding slender structural systems.

Mechanics of Kirchhoff Rods I

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Elasticity Theory: Kinematics and Constitutive Laws

Explores elasticity theory, stress-strain relationships, and material behavior in elastic solids through governing equations and examples.

Ball Rolling on Hemisphere

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Naturally Curved Hair in 2D

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

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.

Continuum Mechanics: Tensor Analysis and Kinematics

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Mechanics of Slender Structure: Naturally Curly Hair in 3D

Delves into the mechanics of slender structures using naturally curly hair in 3D as an example.

Mechanics of Kirchhoff Rods II

Explores the mechanics of Kirchhoff rods, focusing on determining rod shapes in 3D and twisted solutions.

Equilibrium in 3D

Explores equilibrium in three dimensions, emphasizing the importance of adequate constraints for static and kinematic determinacy.

Mechanics of Slender Structures: Elasticity, Plates, Shells

Covers the dimensional reduction in slender structures, constitutive laws, and mechanics of plates and shells.