Lectures related to Constraints and Relative Deformations in 2D

Stiffness vs Strength: Deformation and Load

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

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

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.

Geometrically Necessary Dislocations in Materials

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

Introduction to Structural Mechanics

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Generalized Hooke Law: Deformation and Stiffness Matrices

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

Deformations and Constraints

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

Stress and Strain: Real vs Nominal

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

Introduction to Structural Mechanics: Stress and Strain

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

Internal Equilibrium of Solids

Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.

Deformation and Strain Tensors

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

Plates I: Deformation, Strain, Stress, and Wrinkling

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.

Stress and Strain Transformations

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

Plates: Deformation, Energy, Wrinkling

Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.

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.

Solid Mechanics II + Material Models

Explores material models for elastic objects, including inverse shape optimization and hyperelasticity.

Deformation and Rupture of Materials

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

Plasticity and Deformation in Metals

Explores plasticity, work hardening, critical stress states, and deviatoric stresses in metals.

Empirical Constitutive Relations

Explores empirical constitutive relations, dislocation movement, and thermally activated motion in material science.