Shells III: Nonlinear Theory and Pressure Buckling

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Shells III: Nonlinear Theory and Zoelly's Solution

Explores the nonlinear theory of spherical shells and Zoelly's solution for pressure buckling.

Shells III: Reissner's Solution

Explores Reissner's solution for shells, the DMV theory, and Zoelly's solution for pressure buckling.

Mechanics of Slender Structure: Shells III

Explores the nonlinear theory of spherical shells, including Reissner's solution and Zoelly's solution for pressure buckling.

Linear Shell Theory: Equilibrium Equations

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

Linear Shell Theory: Equilibrium and Energy

Covers the expression of the Kirchhoff-Saint Venant energy in a covariant setting and explores equilibrium equations for spherical shells and linear shell theory.

Differential Geometry of Surfaces

Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.

Physical Meaning of Terms in Acoustic Waves

Explores the physical interpretation of terms in acoustic wave equations and the balance between wave steepening and linear dispersion.

Shells I: Mechanics of Slender Structures

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Differential Forms on Manifolds

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Plasma Instabilities: Microinstabilities in Magnetized Plasmas

Explores microinstabilities in magnetized plasmas, emphasizing drift waves and resonant wave-particle interactions.