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Lecture
Plates: Deformation, Energy, Wrinkling
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Plates I: Deformation, Strain, Stress, and Wrinkling
Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.
3D Linear Elasticity & Beams
Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Plates II: Föppl-von Kármán Equations
Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.
Gaussian Curvature in Plates
Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Plates: Pure Bending, Wrinkling, and Plate Buckling
Explores the mechanics of slender structures, focusing on plates in pure bending, wrinkling, and plate buckling.
Nonlinear Beam Theory: Mechanics of Slender Structure
Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Plates I: Deformation and Energy
Covers the deformation of plates in pure bending, total strain energy, and wrinkling phenomena, exploring applications and implications of substrate stiffness on wrinkling.
Structural Mechanics: Beam Bending and Boundary Conditions
Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
Plates II: Föppl-von Kármán Equations
Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.