Hyperelasticity — Neohookean Uniaxial

HyperelasticPASS · <0.01%

Finite-strain hyperelastic response and objectivity verification. Checks: uniaxial finite strain and pressure elimination.

Tolerance:: 5%

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Problem statement

Geometry: Incompressible Neo-Hookean cube, mu=1 MPa, uniaxial stretch lambda=2 with free lateral contraction lambda^(-1/2).
Material: Constitutive or analytical definition: P=mu(lambda-lambda^-2); sigma=mu(lambda^2-lambda^-1).
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=1.75 MPa; Cauchy stress=3.5 MPa; J=1.

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 hyperelastic=neo_hookean E=10000000 nu=0.3
primitive box dx=2000 dy=1000 dz=1000
mesh hex size=1000
fix surface number 1 component=x
fix surface number 3 component=y
fix surface number 5 component=z
load surface number 2 force=1000000 component=x
solve static nlgeom=on solidMaterial=neo-hookean

Results comparison

Reference value	ux=0.222830 m
Our result	ux=0.222830 m
Deviation	<0.01%
Tolerance	5%
Status	PASS · <0.01%
Element family	Solid element
Mesh details	брус 2×1×1 м (2 HEX8), Neo-Hookean E=1e7 Па, nu=0.3, F=1e6 Н; Total Lagrangian solidtl

Updated: 2026-10-19 · WebCAE solver