Lectures related to Continuum Mechanics: Tensor Analysis and Kinematics

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.

Introduction to Continuum Mechanics

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

Continuum Mechanics: Conservation Laws and Kinematics

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

Momentum and Impulse: Conservation and Center of Mass

Explores momentum, impulse, and conservation principles in dynamic systems.

Stress Components & Transformation of Tensors

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

Linear Momentum Balance in Continuum Mechanics

Covers the evaluation of linear momentum balance in continua, focusing on stress vectors and tensors, and deriving the governing equations for momentum conservation.

Continuum Mechanics: Forces and Deformation

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

Mechanics: Introduction and Calculus

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

Continuum Mechanics: Stress and Tensor Analysis

Provides an overview of continuum mechanics, focusing on stress tensor analysis and transformation laws in material behavior under stress.

Stress Tensor and Transformation Laws in Continuum Mechanics

Covers stress tensors, their components, and transformation laws in continuum mechanics.

Drag, Momentum, and Center of Mass

Covers drag, momentum, and center of mass, emphasizing conservation laws and force applications.

Modeling Object Motion: Collision and Impulse

Covers the modeling of object motion in collision scenarios and the calculation of average force.

Continuum Mechanics: Newton's Laws and Stress Tensor Symmetry

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

Indicial Notation and Vectors

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

Drag, Momentum, and Center of Mass

Explores drag, momentum, impulse, and center of mass, emphasizing the application of forces and the conservation of momentum.

Continuum Mechanics: Mass Conservation

Explores mass conservation in continuum mechanics, covering stress, dynamics, constitutive laws, and solid deformation.

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

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

Continuum Mechanics: Forces and Motion

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

Motion in Two and Three Dimensions

Explores motion in two and three dimensions, gravity effects, and vector dot products.

Continuum Mechanics: Theory and Applications

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