Lectures related to Lagrange Representation

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.

Continuum Mechanics: Forces and Deformation

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

Finite & Infinite Deformation: Key Distinction

Explains the geometric interpretation of eigen vectors and values in material deformation.

Continuum Mechanics: Forces and Deformation

Explores the laws of dynamics, stress, energy conservation, and deformation in continuum mechanics.

Theory of Elasticity

Explores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.

Deformation Analysis: Small Strain and Kinematics

Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.

Plates: Pure Bending, Wrinkling, and Plate Buckling

Explores the mechanics of slender structures, focusing on plates in pure bending, wrinkling, and plate buckling.

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.

Linear Elasticity in 3D: Beam Bending

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

Linear Elasticity: 3D

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

Elasticity: Deformation and Strain

Explores stress, strain, equilibrium, and Hooke's law in elasticity.

Deformation and Rotation

Covers linear and volume deformations, angular deformations, and rotation speed.

Stress, Strain, Equilibrium: Elasticity

Explores stress, strain, equilibrium, and elasticity concepts, including Hooke's law and the Strain Tensor.

Mechanics of Continuous Media: Deformations and Volume Changes

Covers the interpretation of geometrical components of strain tensor for small deformations and volume changes.

Buckling of Plates in Mechanics of Slender Structures

Covers critical force, post-buckling behavior, bending energy, strain tensor, stretching energy, and shear buckling.

Generalized Hooke Law: Deformation and Stiffness Matrices

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

Geometrically Necessary Dislocations in Materials

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

Linear Elasticity (3D)

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

Continuum Mechanics: Forces and Motion

Covers the governing equations for forces and motion in continua, including stress, energy conservation, solid deformation, and fluid motion.