Lectures related to Empirical Constitutive Relations

Thermally Activated Dislocation Motion

Explores thermally activated dislocation motion and physically based constitutive models in materials at high strain rates.

Geometrically Necessary Dislocations in Materials

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

Lamination: Deformation, Ductility, and Dislocations

Explores lamination, ductility, plastic deformation, and dislocations in materials, emphasizing the effects of strain rate and temperature.

Stiffness vs Strength: Deformation and Load

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

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.

Generalized Hooke Law: Deformation and Stiffness Matrices

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

Introduction to Structural Mechanics

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

Plastic Deformation: Introduction to the Dislocation Model

Covers plastic deformation, dislocation model, stages, shear stress, distortion, dislocation loops, strain hardening, and crystal growth.

Deformation and Rupture of Materials

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

Stress and Strain: Real vs Nominal

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

Deformation and Dislocations

Explores the sliding of dislocations in single crystals, plastic deformation, and stress fields induced by dislocations.

Dislocations and Deformation

Explores dislocations in crystals, deformation mechanisms, and the effects of obstacles on dislocation movement.

Material Response: FCC-BCC-HCP

Explores material response to impact and strain hardening, including adiabatic shear bands and their applications.

Mechanical Properties & Strengthening Mechanisms

Explores mechanical properties, plastic deformation, dislocations, strengthening mechanisms, and high temperature plasticity in alloys.

3D Linear Elasticity & Beams

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

Rheology: Constitutive Law and Cats

Explores the rheology of materials, drawing parallels between cats' behavior and material properties.

Introduction to Structural Mechanics: Stress and Strain

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

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.

Cyclic Deformation and Recrystallization

Explores cyclic deformation, dislocation structures, fatigue resistance, and recrystallization kinetics.