Lectures related to Mechanics of Balloons

Elasticity: Constitutive Modelling in Geomechanics

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

Finite Elements: Elasticity and Variational Formulation

Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Wave Equations: Vibrating String

Explores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.

Neuromorphic Computing: Concepts and Hardware Implementations

Covers neuromorphic computing, challenges in ternary and binary computing, hardware simulations of the brain, and new materials for artificial brain cells.

Smeared Crack Approach Models & Mesh Dependency

Explores smeared crack models, strain localization, and mesh dependency in structural analysis, emphasizing crack simulation hypotheses and stress-strain relationships.

Collisionless Systems Equilibrium

Explores collisionless systems equilibrium, anisotropic distribution functions, Jeans Equations, and models with finite potential.

Hydrodynamic Models: Machine Learning for Kinetic Equations

Delves into uniformly accurate hydrodynamic models for kinetic equations using machine learning, covering Boltzmann equation, moment methods, and numerical results.

Advanced Numerical Analysis: Space Discretization

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

ODEs: Introduction and Solutions

Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.

Mechanics of Continuum Media: Modeling Elastic Behavior of Membranes Log in to Mediaspace to watch this video

Explores the modeling of elastic behavior in membranes, emphasizing universal construction procedures and energy-based approaches for stability analysis.

Minimal Surfaces and Discrete Differential Geometry Log in to Mediaspace to watch this video

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Elasticity: Constitutive Modelling in Geomechanics Log in to Mediaspace to watch this video

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

Magnetostatics: Magnetic Field and Force Log in to Mediaspace to watch this video

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

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

Nonlinear Beam Theory: Mechanics of Slender Structure Log in to Mediaspace to watch this video

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Numerical Analysis: Stability in ODEs Log in to Mediaspace to watch this video

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Numerics for Fluids, Structures & Electromagnetics Log in to Mediaspace to watch this video

Covers numerics for fluids, structures, and electromagnetics, emphasizing the importance of eigenvalues and eigenfunctions.

Harmonic Oscillator and Hooke's Law Log in to Mediaspace to watch this video

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