Linear Shell Theory in Mechanics of Slender Structures

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Membrane Theory of Shells: Cylindrical and Spherical Structures

Analyzes membrane forces in thin shell structures using the membrane theory of shells.

Membrane Theory of Shells

Explores the membrane theory of shells to analyze forces in thin shell structures.

Membrane Theory of Shells

Explores membrane forces in thin shell structures under various loadings, focusing on cylindrical and spherical shell roofs.

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 Geometry of Surfaces

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

Linear Shell Theory: Equilibrium Equations

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

Membrane Theory of Shells

Covers the analysis of membrane forces in cylindrical and spherical shell structures using the membrane theory of shells.

Linear Shell Theory: Inflation/Deflation of Spherical Shells

Explores linear shell theory applied to spherical shell inflation/deflation and membrane forces analysis.

Linear Shell Theory: Spherical Shells Analysis

Explores the analysis of spherical shells using linear shell theory and membrane forces under different loading conditions.

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.