Lectures related to Nonlinear Analysis of Structures

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.

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.

Nonlinear Geometric Transformation: Analysis and Approximations

Explores nonlinear geometric transformations in structural engineering, emphasizing accurate integration methods and practical applications.

Integration Techniques in Structural Analysis

Discusses numerical integration and minimizing unnecessary precision in structural analysis.

Molecular dynamics under constraints

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

Calculus of Variation and Euler's Elastica

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Calculus of Variations and Euler's Elastica

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Timber Construction: Innovations and Design

Explores the history and modern applications of timber construction, emphasizing innovative design approaches and structural engineering.

Finite Element Method: Basics and Applications

Covers the fundamental concepts and practical applications of the finite element method, including statics, stress analysis, and spatial discretization.

Written Corrections: Structural Mechanics Exercises

Provides written corrections for structural mechanics exercises, focusing on systems of forces and equilibrium in two dimensions.

Finite Elements: Elasticity and Variational Formulation

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

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Advanced Numerical Analysis: Space Discretization

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

Finite Differences and Finite Elements: Variational Formulation

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Numerical Methods: Boundary Value Problems

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Molecular Dynamics Simulations: Energy Conservation

Explores energy conservation in Hamiltonian systems, numerical integration, time step choices, and constraint algorithms in molecular dynamics simulations.

Verification and validation

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Equilibrium in 3D: Statical and Kinematical Analysis

Discusses equilibrium in three-dimensional systems, focusing on constraints and statical determinacy through practical examples.

Finite Difference Grids

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.