Lectures related to Deformable Bodies: Stress Tensors and Divergence Theorem

Linear Momentum Conservation and Stress in Continuum

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Deformation and Strain Tensors

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

Angular Momentum Balance in Continua

Explores stress tensor symmetry through angular momentum balance in continua, covering topics like energy conservation and constitutive laws.

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

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

Gaussian Curvature in Plates

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Continuum Mechanics: Forces and Deformation

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

Continuum Mechanics: Tensor Analysis and Kinematics

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Axial Loading: Stress and Strain in Deformable Bodies

Covers axial loading, stress, strain, and their implications in deformable bodies.

Linear Elasticity in 3D: Beam Bending

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Theory of Elasticity

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

3D Linear Elasticity & Beams

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

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.

Introduction to Structural Mechanics

Introduces key concepts in structural mechanics, such as determinate and indeterminate systems, linear superposition, and stress-strain relationships.

Systems of Forces in 3D

Explores systems of forces in three dimensions, emphasizing moments and couples, equilibrium, and scalar components.

Linear Elasticity (3D)

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

Introduction to Structural Mechanics: Systems of Forces

Introduces the fundamental concepts of forces, moments, and their classifications in structural mechanics.

System of Forces: 2D and 3D

Covers the classification of forces, resultant, and systems of forces in 2D and 3D.

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.