Lectures related to Mechanics of Continuous Media: Deformations and Volume Changes

Structural Mechanics: Beam Bending and Boundary Conditions

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

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

Finite & Infinite Deformation: Key Distinction

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

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.

Continuum Mechanics: Forces and Deformation

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

Deformation Analysis: Small Strain and Kinematics

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

Geometrically Necessary Dislocations in Materials

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

Continuum Mechanics: Forces and Deformation

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

Generalized Hooke Law: Deformation and Stiffness Matrices

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

Theory of Elasticity

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

Buckling of Plates in Mechanics of Slender Structures

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

Linear Elasticity in 3D: Beam Bending

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

Deformation and Rotation

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

Lagrange Representation

Covers the Lagrange representation and the continuity equation for deformations, emphasizing the possibility of large deformations.

Elasticity: Deformation and Strain

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

Plates: Pure Bending, Wrinkling, and Plate Buckling

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

Relative Deformations in 3D

Explores normal and shear strains, displacement fields, and the matrix of relative strains in 3D.

Elastic Deformation: Material Properties

Explores material properties, stress, strain, and deformation gradient in elastic deformation.

Linear Elasticity: 3D

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

Deformation and Rupture of Materials

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