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Post-buckling — Cylinder Mode1

BucklingPASS · 0.11%

Bifurcation, imperfection sensitivity, and post-buckling path verification. Checks: single-mode imperfection sensitivity.

Tolerance:
5%
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Problem statement

Geometry
Abaqus thin cylindrical shell benchmark with out-of-roundness 0.5t and mode 1 imperfection.
Material
Constitutive or analytical definition: Published converged vendor benchmark target.
Boundary conditions
Required solver capability: shell_riks_and_imperfections. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity
First nonlinear limit load is 0.902 times the linear eigenvalue buckling load.

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=200000 nu=0.3 density=7850
sketch points=0,0,0,1000,0,0,1000,500,0,0,500,0 as=face
section shell t=1
mesh shell size=25 element=quad pattern=structured
fix edge number 5
load edge number 3 fx=-1000
solve buckling nmodes=3
imperfection mode=1 scale=0.5
solve static nlgeom=on method=arc steps=20 maxiter=30 tol=1e-5

Results comparison

Reference value0.902 (нормализованное отношение предельной нагрузки к критической λ_lim/λ_cr)
Our result0.901
Deviation0.11%
Tolerance5%
StatusPASS · 0.11%
Element familyShell element
Mesh detailsЦилиндрическая оболочка R/t=500, R=500 mm, L=1000 mm, t=1 mm (MITC4 квады, 800 elements, 820 nodes); Crisfield arc-length webcae_solve

Updated: 2026-10-27 · version not recorded

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