Deformation and Strain Tensors

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Explores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.

Mechanics of Continuous Media

Explores stress-strain relationships, equilibrium of forces, and material properties in mechanics.

Solid mechanics in biomechanics: Large strain and stress definitions

Explores large strain in soft tissues and various stress definitions in solid mechanics.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Linear Elasticity in 3D: Beam Bending Log in to Mediaspace to watch this video

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Linear Elasticity (3D)Log in to Mediaspace to watch this video

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Continuum Mechanics: Forces and Deformation Log in to Mediaspace to watch this video

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Elasticity and Beam Bending Log in to Mediaspace to watch this video

Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.

Review: 3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.

Linear Elasticity: 3D Log in to Mediaspace to watch this video

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.

Linear Momentum Conservation and Stress in Continuum Log in to Mediaspace to watch this video

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Mechanics of Slender Structures: Elasticity & Buckling Log in to Mediaspace to watch this video

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Stress and Strain: Generalization to 3D Log in to Mediaspace to watch this video

Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.

Mechanics of Slender Structures: Final Review and Overview Log in to Mediaspace to watch this video

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Plates II: Föppl-von Kármán Equations Log in to Mediaspace to watch this video

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

Relative Deformation in 3D: Strain Matrix Log in to Mediaspace to watch this video

Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.

Stress, Strain, Equilibrium: Elasticity Log in to Mediaspace to watch this video

Explores stress, strain, equilibrium, and elasticity concepts, including Hooke's law and the Strain Tensor.

Structural Mechanics: Beam Bending and Boundary Conditions Log in to Mediaspace to watch this video

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

Introduction to Structural Mechanics: Stress and Strain Log in to Mediaspace to watch this video

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Gaussian Curvature in Plates Log in to Mediaspace to watch this video

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

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