Rheology: Constitutive Law and Cats

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Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.

Linear Elasticity: 3D

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.

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.

Stress and Strain: Real vs Nominal

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Normal Stresses: Internal Stress and Strain

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

Introduction to Structural Mechanics

Covers the fundamentals of structural mechanics, including axial loading, stress, strain, and generalized uniaxial loading.

Shock Waves and Brittle Material Response

Covers shock waves, brittle material response, phase transformation, and Hugoniot relationships in materials under stress.

3D Linear Elasticity & Beams

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