Continuum Mechanics: Governing Equations

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Continuum Mechanics: Tensor Analysis and Kinematics

Covers tensor analysis, kinematics, and fluid mechanics 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 Motion

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

Continuum Mechanics: Theory and Applications

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Fluid Dynamics: Navier-Stokes Equations

Explores fluid dynamics, covering Navier-Stokes equations, momentum conservation, stresses, and dimensional analysis.

Deformation and Strain Tensors

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

3D Linear Elasticity & Beams

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Theory of Elasticity

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

Mechanics of Slender Structures: Final Review and Overview

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