Hyperelasticity — Yeoh Uniaxial

HyperelasticPASS · 0.02%

Finite-strain hyperelastic response and objectivity verification. Checks: higher-order invariant terms.

Tolerance:: 5%

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Problem statement

Geometry: Incompressible Yeoh material C10=0.5 MPa, C20=0.05 MPa, C30=0.005 MPa at lambda=2.
Material: Constitutive or analytical definition: P=2(lambda-lambda^-2) dW/dI1 for W=sum Ci0(I1-3)^i.
Boundary conditions: Required solver capability: yeoh_hyperelasticity. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Nominal stress=2.66 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=yeoh c10=500000 c20=50000 c30=5000 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 = 2.660000 MPa
Our result	P = 2.659387 MPa
Deviation	0.02%
Tolerance	5%
Status	PASS · 0.02%
Element family	Solid element
Mesh details	1 HEX8/HEX20 куб 1×1×1 м, Yeoh C10=0.5 MPa, C20=0.05 MPa, C30=0.005 MPa, kappa=10000 MPa, одноосное растяжение lambda=2

Updated: 2026-10-28 · version not recorded