Lectures related to Kinematics: Motion and Deformation of Bodies

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.

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.

Continuum Mechanics: Forces and Motion

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

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.

Elastic Deformation: Material Properties

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

Solid Mechanics Principles: Eigenstrains

Covers eigenstrains, deformations in a body not caused by stress, and their significance in mechanics.

Theory of Elasticity

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

Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Geometrically Necessary Dislocations in Materials

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

Stress Measures: Beyond Cauchy

Explores stress measures beyond Cauchy, focusing on 1st and 2nd Piola-Kirchhoff stress.

Classical Laminate Theory: Analysis & Equilibrium

Covers the Classical Laminate Theory and its analysis of displacements, strains, stresses, and equilibrium in laminated composites.

Continuum Mechanics: Kinematics and Deformation Analysis

Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.

Linear Elasticity: 3D

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

Linear Elasticity: Basics and Hooke's Law

Explores linear elasticity, Hooke's Law, isotropic materials, and thermal expansion effects.

Introduction to Structural Mechanics

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

Deformations and Constraints

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