Lectures related to Deformation: Axial Stress and Equilibrium

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Stiffness vs Strength: Deformation and Load

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

3D Linear Elasticity & Beams

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

Generalized Hooke Law: Deformation and Stiffness Matrices

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Relative Deformation in 3D: Strain Matrix

Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.

Deformations and Constraints

Covers relative deformations, flexibility matrix, stress relations, and internal forces in structures.

Simple Shear: General Notions and Applications

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Linear Elasticity (3D)

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Introduction to Structural Mechanics: Stress and Strain

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

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Stress and Strain Transformations

Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.

Normal Stresses: Internal Stress and Strain

Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.

Material Properties and Stress-Strain Curves

Explores material properties, stress-strain curves, stress concentration, and failure criteria in structural mechanics.

Geometrically Necessary Dislocations in Materials

Explains geometrically necessary dislocations in materials and their role in reducing work hardening.

Stress and Strain: Real vs Nominal

Explores real and nominal strain rates, stress, deformation, and force in materials testing.

Continuum Mechanics: Forces and Deformation

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

Simple Traction or Compression

Covers general notions and hypotheses of simple traction or compression, stress analysis, and strain energy in materials.

Deformation and Rupture of Materials

Explores the deformation and rupture of materials, including dislocation density, plastic deformation, and stress-strain relationships.

Constraints and Relative Deformations in 2D

Explains the reduction of 3D problems to 2D using constraints and relative deformations.