Circular Plate: Displacement Behavior and Simplification of Equations

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Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Covers advanced topics in beam bending, stress tensors, elasticity, and Atomic Force Microscopy.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Covers the calculation of curvature in beams and the design of beams for stress considerations.

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Covers the rules for deforming composite structures and how to trace the deformation based on moment diagrams.