Lectures related to Continuum Mechanics: Material Behavior and Boundary Conditions

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.

Mechanics of Kirchhoff Rods II

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

Continuum Mechanics: Forces and Deformation

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

Fluid Mechanics: Foundations and Applications

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

Mechanics of Continuous Media: Torsion and Traction

Explores stress and deformation in torsional structures under loading conditions.

Naturally Curved Hair in 2D

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

Numerical Methods in Biomechanics: Hip-A

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

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 Continuous Media

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

Symmetry & Boundary Conditions

Explores symmetry and boundary conditions in finite element models, emphasizing the importance of maintaining symmetry for accurate modeling.

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.

Finite Element Method: Basics and Applications

Covers the basics of the Finite Element Method for solid and structural modeling.

Diffusion in Fluid Mechanics

Explores diffusion in incompressible fluid mechanics, covering continuum description, Fick's law, and steady-state solutions.

Internal Heat Transfer Effects

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

Numerical Flow Simulation: Boundary Conditions

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

Structural Mechanics Part 2: FEM & Scaling Laws

Explores Finite Element Modeling in Structural Mechanics, covering convergence, nonlinear displacement, and scaling laws in micro and nanosystems.

Perturbed Boundary Conditions

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

Computational Geomechanics: Unconfined Flow

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

Numerical Flow Simulation: Basics and Boundary Conditions

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

Thermal Bridge Analysis: Materials and Conditions

Explores thermal bridge analysis, material properties, and boundary conditions for building insulation.