Hyperelasticity — Neohookean Simple Shear

HyperelasticPASS · 0%

Finite-strain hyperelastic response and objectivity verification. Checks: finite simple shear and normal-stress effect.

Tolerance:: 5%

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Problem statement

Geometry: mu=1 MPa; simple shear gamma=1 with F=[[1,gamma,0],[0,1,0],[0,0,1]].
Material: Constitutive or analytical definition: sigma=-pI+mu B; tau12=mu gamma; N1=mu gamma^2.
Boundary conditions: Required solver capability: finite_strain_neo_hookean. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Cauchy shear=1 MPa and first normal stress difference=1 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=1000000000
primitive box dx=1 dy=1 dz=1
mesh hex size=1
fix surface number 3 component=xyz
fix surface number 4 component=yz
displacement surface number 4 value=1.0 component=x
solve static nlgeom=on solidMaterial=neo-hookean

Results comparison

Reference value	tau12 = 1.000000 MPa, N1 = 1.000000 MPa
Our result	tau12 = 1.000000 MPa, N1 = 1.000000 MPa
Deviation	0%
Tolerance	5%
Status	PASS · 0%
Element family	Solid element
Mesh details	1 HEX8 куб 1×1×1 м, Neo-Hookean mu=1 MPa, простой конечный сдвиг gamma=1 (J=1, эффект Пойнтинга N1=sigma11-sigma22=1 MPa)

Updated: 2026-10-28 · version not recorded