Hyperelasticity — Ogden Uniaxial

HyperelasticPASS · 0.02%

Finite-strain hyperelastic response and objectivity verification. Checks: Ogden exponent and nominal-stress convention.

Tolerance:: 5%

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Problem statement

Geometry: Incompressible one-term Ogden material: mu=1 MPa, alpha=3, uniaxial stretch lambda=2 with free lateral contraction.
Material: Constitutive or analytical definition: P=(2 mu/alpha)[lambda^(alpha-1)-lambda^(-alpha/2-1)].
Boundary conditions: Required solver capability: ogden_hyperelasticity. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Nominal stress=2.54881553647 MPa.

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=ogden mu1=1000000 alpha1=3 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=ogden steps=5

Results comparison

Reference value	P = 2.548816 MPa
Our result	P = 2.548353 MPa
Deviation	0.02%
Tolerance	5%
Status	PASS · 0.02%
Element family	Solid element
Mesh details	1 HEX8/TET10 куб 1×1×1 м, Ogden (N=1, Abaqus convention) mu1=1 MPa, alpha1=3, kappa=10000 MPa, одноосное растяжение lambda=2

Updated: 2026-10-28 · version not recorded