Lectures related to Derivation of Boundary Conditions in Mechanics of Slender Structures

Linear Shell Theory: Equilibrium Equations

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Derivation of Boundary Conditions

Covers the derivation of boundary conditions for total energy in bending and stretching of plates.

Plates II: Mechanics of Slender Structures

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

Introduction to Arrows and Differential Relations

Introduces arrows in beams and how to calculate deflection using differential relations.

Mechanics of Continuous Media

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

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 Kirchhoff Rods II

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

Finite Element Method: Formulation and Approximations

Covers the strong and integral formulations, weak formulation, and approximation of temperatures.

Naturally Curved Hair in 2D

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

Gaussian Curvature in Plates

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Fluid Mechanics: Foundations and Applications

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

Classical Field Theory: Lagrangian and Hamiltonian Formulation

Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.

Numerical Flow Simulation: Boundary Conditions

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

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.

Internal Heat Transfer Effects

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Buckling of Plates: Post-Buckling Deformation Behavior Investigation

Investigates post-buckling deformation behavior, bending energy derivation, and in-plane stretching energy considerations in square plates.

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.

Numerical Flow Simulation: Basics and Boundary Conditions

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

Recent Advances in the Dimer Model and Its Applications

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Plates II: Föppl-von Kármán Equations

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.