Lectures related to Calculus of Variations: Euler's Elastica

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Explores variational methods, Euler's Elastica, numerical and analytical methods, and the buckling of slender structures.

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

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

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

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

Explores fundamental physical dimensions, dimensional analysis, scaling laws, and the behavior of slender structures and thin beams.

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

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

Discusses kinematic quantities and linear mass density in examples of metal wires.

Explores beam bending theory, covering moment-curvature relation, pure bending, elasticity concepts, and examples of cantilever beams.

Explores beam buckling, dimensionless analysis, and scalings in mechanics of slender structures.

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

Explores beam bending, moment distribution, and buckling in structural mechanics.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Discusses equilibrium in three-dimensional systems, focusing on constraints and statical determinacy through practical examples.

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Covers the kinematics and equilibrium equations of Kirchhoff rods, discussing geometric coupling between bending and twist.