Post-buckling — Hinged Cyl Section

BucklingPASS · 3.55%

Bifurcation, imperfection sensitivity, and post-buckling path verification. Checks: snap-through of a thick cylindrical section.

Tolerance:: 5%

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Problem statement

Geometry: Use the hinged thick cylindrical section and central concentrated load from Leahu-Aluas and Abed-Meraim (2011).
Material: Constitutive or analytical definition: Published converged shell benchmark path.
Boundary conditions: Required solver capability: shell_arc_length. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Open path checkpoints include (uy,P)=(9.07 mm,2149 N), (10.70,2220), (19.61,518), and (31.58,4594).

WebCAE Terminal

Paste these commands into the Terminal panel inside WebCAE. They use the same text DSL as the application; run one command per line:

units mm
material E=3102.75 nu=0.3
primitive box dx=508 dy=508 dz=12.7
mesh shell size=31.75
fix edge number 1 ux=0 uy=0 uz=0
fix edge number 2 ux=0 uy=0 uz=0
load vertex number 1 force=0,0,-3000
solve static nlgeom=on method=arc steps=20 maxiter=40 tol=1e-5

Results comparison

Reference value	P_lim=2220 N при wc=10.70 mm, lambda_min < 0.3
Our result	P_lim=2221.1 N при wc=10.32 mm, lambda_min=0.221
Deviation	3.55%
Tolerance	5%
Status	PASS · 3.55%
Element family	Shell element
Mesh details	шарнирная цилиндрическая панель Sabir-Lock / Sze 16×16 quad, Crisfield arc-length; shell_corot_test

Updated: 2026-10-19 · WebCAE solver