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Plates: Deformation, Energy, Wrinkling
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Related lectures (38)
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Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
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Solid Mechanics: Stress, Strain, Invariants
Explores stress, strain invariants, constitutive laws, failure criteria, and material properties in solid mechanics.
Plates I: Deformation, Strain, Stress, and Wrinkling
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Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Plates II: Föppl-von Kármán Equations
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Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.
Gaussian Curvature in Plates
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Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.
Plates: Pure Bending, Wrinkling, and Plate Buckling
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Explores the mechanics of slender structures, focusing on plates in pure bending, wrinkling, and plate buckling.
Nonlinear Beam Theory: Mechanics of Slender Structure
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Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Plates I: Deformation and Energy
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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
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Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
Plates II: Föppl-von Kármán Equations
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Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.
Linear Elasticity in 3D: Beam Bending
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Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.
Internal Equilibrium of Solids
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Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.
Mechanics of Slender Structures: Elasticity & Buckling
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Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.
Plates III: Buckling Theory and Applications
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Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.
Nonlinear beam theory
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Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.
Linear Elasticity (3D)
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Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Elasticity and Beam Bending
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Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.
Review: 3D Linear Elasticity & Beams
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Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.
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