Lectures related to Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics

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 Deformation

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

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: Governing Equations

Explores the governing equations of continuum mechanics and their applications in structural integrity and thermal expansion.

Continuum Mechanics: Forces and Deformation

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

Deformation and Strain Tensors

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

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: Tensor Analysis and Kinematics

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

Continuum Mechanics: Theory and Applications

Explores continuum mechanics, covering laws of thermodynamics, stress analysis, energy conservation, constitutive laws, and material response.

Stress Components & Transformation of Tensors

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

Continuum Mechanics: Mass Conservation

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

Stress Tensor and Transformation Laws in Continuum Mechanics

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

Mechanics of Slender Structures: Final Review and Overview

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Inviscid Flows: Understanding Fluid Dynamics

Explores inviscid flows, Reynolds number importance, linear deformations, and volume change in fluid dynamics.

Fluid Dynamics: Differential Conservation Laws and Equations

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

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.

3D Linear Elasticity & Beams

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

Linear Elasticity in 3D: Beam Bending

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