Lectures related to Elastic Rod Coiling on Substrate

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Mechanics of Slender Structures: Elasticity & Buckling

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Euler's Elastica: Mechanics of Slender Structures

Covers the total energy functional of bending and gravitational contributions in slender structures.

Dimensional Analysis & Scaling Laws

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Energy: Gravitational Potential

Explains gravitational potential energy, work done by weight, and conservative forces.

Kirchhoff Rods: Kinematics and Twisted Solutions

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

Naturally Curved Hair in 2D

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

Gravitational Field Equations

Covers the formulation of gravitational field equations and the motion of particles in gravitational fields.

Elastic Deformation Mechanics

Explores elastic deformation mechanics, covering topics like young modulus, stiffness, and thermal expansion.

Conservation of Energy: Pendulum Dynamics

Explores the conservation of energy in pendulum dynamics, emphasizing potential energy's role.

Elasticity: Constitutive Modelling in Geomechanics

Explores constitutive modelling in geomechanics, focusing on stress-strain behavior and the application of elastic models in analytical and numerical methods.

Harmonic Oscillator and Hooke's Law

Explores harmonic oscillators, Hooke's Law, and elasticity in relation to force and spring elongation.

Deformation Course: Part 3

Explores stiffness, types of bonds, glass transition, and elasticity in materials under stress.

3D Linear Elasticity & Beams

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Elasticity: Constitutive Modelling in Geomechanics

Explores constitutive equations in geomechanics, stress-strain behavior, and practical applications in engineering.

Forces and Energy Conservation

Explores forces, energy conservation, and potential energy calculations in various scenarios.

Stress and Deformation: Understanding Material Behavior

Explores stress, strain, elasticity, plasticity, and material behavior, emphasizing the importance of dislocations and microstructure.

Deformations and Elasticity

Covers deformations, elasticity, stress distribution, and force transmission in cells.

Conservation of Angular Momentum

Explores the conservation of angular momentum and gravitational concepts in physics.