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Related lectures (32)

Nonlinear Beam Theory: Mechanics of Slender Structure

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Nonlinear Curved Beams

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

Nonlinear beam theory

Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.

Nonlinear Beam Theory: Curved Beams Mechanics

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

Nonlinear Beam Theory

Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.

Gaussian Curvature in Plates

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

Mechanics of Kirchhoff Rods: Finite Strain and Rotation Theory

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

Mechanics of Kirchhoff Rods I

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Structural Mechanics: Beam Bending and Boundary Conditions

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

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.

Deformation and Strain Tensors

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

Continuum Mechanics: Kinematics and Deformation Analysis

Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.

Finite & Infinite Deformation: Key Distinction

Explains the geometric interpretation of eigen vectors and values in material deformation.

Local and Global Ductility

Examines the relationship between different ductilities in seismic engineering, highlighting their significance in structural elements.

Plates II: Föppl-von Kármán Equations

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

Stiffness vs Strength: Deformation and Load

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Plates I: Deformation, Strain, Stress, and Wrinkling

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.

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.

Deformation and Rotation

Covers linear and volume deformations, angular deformations, and rotation speed.