Lectures related to Continuum Mechanics: Mass Conservation

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.

Continuum Mechanics: Forces and Motion

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

Continuum Mechanics: Conservation Laws and Kinematics

Introduces continuum mechanics, focusing on conservation laws and kinematics for continuous media.

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: Tensor Analysis and Kinematics

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

Continuum Mechanics: Forces and Deformation

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

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

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

Stress Components & Transformation of Tensors

Covers stress components, tensor transformation, and invariants in continuum mechanics.

Continuum Mechanics: Forces and Deformation

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

Continuum Mechanics: Introduction

Introduces the fundamental concepts of Continuum Mechanics and discusses the density of flux and mass conservation.

Special Relativity

Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.

Differential Geometry of Surfaces

Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Continuum Mechanics: Newton's Laws and Stress Tensor Symmetry

Discusses Newton's third law, stress tensor symmetry, and the governing equations in continuum mechanics.

Continuum Mechanics: Theory and Applications

Covers the basics of continuum mechanics, including constitutive laws, stress, dynamics, and fluid motion.

Covariant Derivatives and Christoffel Symbols

Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.

Introduction to Continuum Mechanics

Covers the basics of continuum mechanics, including vector and tensor analysis, kinematics, and fluid mechanics.

Indicial Notation and Vectors

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Fluid Dynamics Fundamentals

Covers deriving fluid dynamics equations, including mass conservation and stress-strain relationships, through differential analysis and key mathematical concepts.

Continuum Mechanics: Kinematics and Deformation Analysis

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