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Related lectures (31)
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Stress and Strain: Generalization to 3D
Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.
Developable Surfaces and Parametrization
Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.
Plates II: Föppl-von Kármán Equations
Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.
Christoffel Symbols and Gravity Before Einstein
Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.
Covariant and Contravariant Tensors: Maxwell Field Strength
Explores contravariant and covariant tensors, Maxwell field strength, and Lorentz invariance in linear transformations and metric properties.
Flat Space-Time: Conditions and Theorems
Covers the necessary conditions and theorems to have flat space-time and discusses the symmetry properties of the Riemann tensor.
Riemann Tensor and Ricci Scalar
Covers the properties of the Riemann tensor and Ricci scalar in normal coordinates.
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.
Tensors & Indices Recap
Covers the basics of tensors and indices, including contravariant vectors and tensor operations.
Continuum Mechanics: Tensor Analysis and Kinematics
Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.