Hyperelasticity — Neohookean Equibiaxial

HyperelasticPASS · 0.01%

Finite-strain hyperelastic response and objectivity verification. Checks: equibiaxial constitutive response.

Tolerance:: 5%

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Problem statement

Geometry: mu=1 MPa; lambda1=lambda2=1.5 and lambda3=lambda^-2.
Material: Constitutive or analytical definition: P=mu(lambda-lambda^-5); sigma=mu(lambda^2-lambda^-4).
Boundary conditions: Required solver capability: finite_strain_incompressible_neo_hookean. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Nominal stress per loaded direction=1.3683127572 MPa; Cauchy=2.0524691358 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=neo_hookean mu=1000000 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=0.5 component=x
displacement surface number 4 value=0.5 component=y
solve static nlgeom=on solidMaterial=neo-hookean steps=5

Results comparison

Reference value	P = 1.368313 MPa, sigma = 2.052469 MPa
Our result	P = 1.368152 MPa, sigma = 2.051947 MPa
Deviation	0.01%
Tolerance	5%
Status	PASS · 0.01%
Element family	Solid element
Mesh details	1 HEX8/HEX20 куб 1×1×1 м, Neo-Hookean mu=1 MPa, kappa=10000 MPa, двухосное растяжение lambda1=lambda2=1.5

Updated: 2026-10-28 · version not recorded