Tensor Analysis: Coordinate Systems

Related lectures (30)

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Covers stress components, tensor transformation, and invariants in continuum mechanics.

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers the reminder of tensors, vectors, and Lorentz transformations, and the formulation of theory.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.