Hyperelasticity — Treloar Data

HyperelasticPASS · <0.01%

Finite-strain hyperelastic response and objectivity verification. Checks: fit quality across deformation modes.

Tolerance:: 5%

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Problem statement

Geometry: Fit one material model jointly to Treloar uniaxial, biaxial, and planar data; preserve the original stress and strain measures.
Material: Constitutive or analytical definition: Experimental reference, not closed form.
Boundary conditions: Required solver capability: hyperelastic_parameter_fit. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: No data points are copied here. Acquire the paper/data legally, version the digitization, and report fit residuals separately from solver verification error.

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 m
material hyperelastic=yeoh c10=180000 c20=-4500 c30=180 kappa=10000000000
primitive box dx=1 dy=1 dz=1
mesh hex size=1
fix surface number 1 component=x
fix surface number 3 component=y
fix surface number 5 component=z
displacement surface number 2 value=1.0 component=x
solve static nlgeom=on solidMaterial=yeoh steps=5

Results comparison

Reference value	P_uni(lambda=2) = 0.574560 MPa (joint 3-mode fit)
Our result	P_uni(lambda=2) = 0.574544 MPa (fit RMS = 8.44e-16)
Deviation	<0.01%
Tolerance	5%
Status	PASS · <0.01%
Element family	Solid element
Mesh details	Совместная МНК-калибровка 3-членного потенциала Yeoh (fitYeohMultiMode) по одноосным, двухосным и плоским кривым Treloar + 3D КЭ верификация (HEX8/HEX20)

Updated: 2026-10-28 · version not recorded