Buckling of Plates in Mechanics of Slender Structures

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

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Investigates post-buckling deformation of plates, deriving bending and stretching energies.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Explores trigonometric addition theorem, double angles, and tangent properties.

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

Investigates post-buckling deformation behavior, bending energy derivation, and in-plane stretching energy considerations in square plates.

Covers the definition of sine and cosine functions, their graphs, and notable points.