Naturally Curved Hair Mechanics

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Delves into the mechanics of slender structures, analyzing naturally curved hair in 2D under gravity.

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

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

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

Explores general covariance in gravity, covering equations, curvature tensor, and static gravity field.

Explores the mechanics of Kirchhoff rods, focusing on kinematics, twisted solutions, and recent developments in rod mechanics.

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

Covers the concept of small displacements in mechanics and the assumptions made for moment balance.

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