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Table 3 Types of shell analysis [149]

From: Buckling failures in curved shell structures: a comprehensive review of theory, design, and applications

Type of analysis

Shell theory

Material law

Shell geometry

Membrane theory of shells

Membrane equilibrium

Not applicable

Perfect

Linear elastic shell analysis (LA)

Linear bending and stretching

linear

Perfect

Linear elastic bifurcation analysis (LBA)

Linear bending and stretching

Linear

Perfect

Geometrically nonlinear elastic analysis (GNA)

Nonlinear

Linear

Perfect

Materially nonlinear analysis (MNA)

Linear

Nonlinear

Perfect

Geometrically and materially nonlinear analysis (GMNA)

Nonlinear

Nonlinear

Perfect

Geometrically nonlinear elastic analysis with imperfections (GNIA)

Nonlinear

Linear

Imperfect

Geometrically and materially nonlinear analysis with imperfections (GMNIA)

Nonlinear

Nonlinear

Imperfect