Deformation and Rotation

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Related lectures (32)

Deformation and Strain Tensors

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

Theory of Elasticity

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

Inviscid Flows: Understanding Fluid Dynamics

Explores inviscid flows, Reynolds number importance, linear deformations, and volume change in fluid dynamics.

Finite & Infinite Deformation: Key Distinction Log in to Mediaspace to watch this video

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

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.

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.

Generalized Hooke Law: Deformation and Stiffness Matrices Log in to Mediaspace to watch this video

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

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

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

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.

Nonlinear Beam Theory: Mechanics of Slender Structure Log in to Mediaspace to watch this video

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

Nonlinear beam theory Log in to Mediaspace to watch this video

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

Polar Decomposition Theorem Log in to Mediaspace to watch this video

Explains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.

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.

Deformation Analysis: Small Strain and Kinematics Log in to Mediaspace to watch this video

Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.

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

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

Geometrically Necessary Dislocations in Materials Log in to Mediaspace to watch this video

Explains geometrically necessary dislocations in materials and their role in reducing work hardening.

Elastic Deformation: Material Properties Log in to Mediaspace to watch this video

Explores material properties, stress, strain, and deformation gradient in elastic deformation.

Elasticity: Deformation and Strain Log in to Mediaspace to watch this video

Explores stress, strain, equilibrium, and Hooke's law in elasticity.

Relative Deformations in 3D Log in to Mediaspace to watch this video

Explores normal and shear strains, displacement fields, and the matrix of relative strains in 3D.

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

Explores the laws of dynamics, stress, energy conservation, and deformation in continuum mechanics.

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