Lectures related to Equilibrium Extension Analysis

Equilibrium in Tension: Verification and Compatibility

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.

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.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Poincaré - Friedrichs: Theorem and Kernel Inequality

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Compatibility of Stress and Strain: Form Expressions

Explores stress and strain compatibility, closed-form expressions, and constant strain components.

Structural Integrity and Mechanics of Fracture

Explores structural integrity, mechanics of fracture, stress boundary conditions, and strain fields in various applications.

Linear Statics of Deformable Solids

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.

Linear Elasticity: Cylindrically-symmetric Problems

Covers linear elasticity, focusing on cylindrically-symmetric problems and the simplification of Hooke's Law for axially-symmetric cases.

Continuum Mechanics: Forces and Deformation

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

Elasticity Basics: Vibrational Modes Description

Covers the theory of elasticity to describe vibrational modes of mechanical resonators.

Mechanics of Continuous Media: Stress and Strain

Explores stress and strain in continuous media, emphasizing the Cauchy stress tensor and boundary conditions.

Structural Mechanics Fundamentals

Introduces the fundamentals of structural mechanics, covering equilibrium, boundary conditions, free-body diagrams, and constraints.

Deformable Structures I

Introduces the analysis of deformable structures, focusing on equilibrium, stress, and strain in axial loading and stiffness.

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.

Configurational Forces: Defects in Materials

Explores configurational forces in materials, emphasizing equilibrium conditions and defect interactions.

Introduction to Structural Mechanics: Stress and Strain

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Fluid Dynamics: Differential Conservation Laws and Equations

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

3D Linear Elasticity & Beams

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

Finite Element Method: Linear Statics

Explores the Finite Element Method applied to linear statics of deformable solids.