Post-buckling — Square Plate Critical

BucklingPASS · 0.79%

Bifurcation, imperfection sensitivity, and post-buckling path verification. Checks: plate bifurcation load and mode shape.

Tolerance:: 5%

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Problem statement

Geometry: Simply supported square plate: b=1000 mm, t=10 mm, E=210000 MPa, nu=0.3, uniform uniaxial edge compression.
Material: Constitutive or analytical definition: Ncrit=4 pi^2 D/b^2, D=E t^3/[12(1-nu^2)].
Boundary conditions: Required solver capability: plate_geometric_stiffness. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: D=19230769.2308 N-mm and Ncrit=759.200338545 N/mm; first mode is one half-wave in each direction.

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=210000 nu=0.3
sketch points=0,0,0,1000,0,0,1000,1000,0,0,1000,0 as=face
section shell t=10
mesh shell size=83.3 element=quad pattern=structured
fix edge number 1 uz=0
fix edge number 2 uz=0
fix edge number 3 uz=0
fix edge number 4 uz=0
fix edge number 1 ux=0
fix edge number 4 uy=0
load edge number 2 fx=-1
solve buckling nmodes=2

Results comparison

Reference value	759.200 N/mm
Our result	765.222 N/mm
Deviation	0.79%
Tolerance	5%
Status	PASS · 0.79%
Element family	Shell element
Mesh details	MITC4 quad-оболочка 12×12 (169 узлов, 144 элемента); WASM

Updated: 2026-10-19 · WebCAE solver