Geometric and Material Buckling - Geometric Buckling

Geometric Buckling

The geometric buckling is an eigenvalue problem that can be solved for different geometries. The table below lists the geometric buckling for some common geometries.

Geometry Geometric Buckling Bg2
Sphere of radius R
Cylinder of height H and radius R
Parallelepiped with side lengths a, b and c

Since the diffusion theory calculations overpredict the critical dimensions, an extrapolation distance δ must be subtracted to obtain an estimate of actual values. The buckling could also be calculated using actual dimensions and extrapolated distances using the following table.

Expressions for Geometric Buckling in Terms of Actual Dimensions and Extrapolated Distances.

Geometry Geometric Buckling Bg2
Sphere of radius R
Cylinder of height H and radius R
Parallelepiped with side lengths a, b and c

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