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Plates I: Deformation, Strain, Stress, and Wrinkling
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Related lectures (32)
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Plates: Deformation, Energy, Wrinkling
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Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
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.
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.
Nonlinear Beam Theory: Mechanics of Slender Structure
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Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Introduction to Structural Mechanics
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Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.
Linear Elasticity: 3D
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Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.
Mechanics of Slender Structures: Elasticity & Buckling
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Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.
Gaussian Curvature in Plates
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Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.
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.
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.
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 in 3D: Beam Bending
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Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.
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.
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.
Stiffness vs Strength: Deformation and Load
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Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Stress and Strain: Real vs Nominal
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Explores real and nominal strain rates, stress, deformation, and force in materials testing.
Introduction to Structural Mechanics: Stress and Strain
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Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Elastic Deformation: Material Properties
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Explores material properties, stress, strain, and deformation gradient in elastic deformation.
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