Hyperelasticity — MMS Finite Strain

HyperelasticPASS · 0.56%

Finite-strain hyperelastic response and objectivity verification. Checks: implementation order of accuracy.

Tolerance:: 5%

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Problem statement

Geometry: Implement the published 3D manufactured displacement and source terms for finite-strain Neo-Hookean elasticity.
Material: Constitutive or analytical definition: Source terms are obtained by substituting a manufactured deformation into div(P)+b=0.
Boundary conditions: Required solver capability: body_forces_and_finite_strain_hyperelasticity. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Recover second-order displacement convergence under h-refinement for quadratic-accurate discretization and first-order convergence under increment refinement as reported in the source configuration.

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 E=2600000 nu=0.3
primitive box dx=1 dy=1 dz=1
mesh hex size=0.25
fix surface number 1 component=xyz
fix surface number 2 component=xyz
fix surface number 3 component=xyz
fix surface number 4 component=xyz
fix surface number 5 component=xyz
fix surface number 6 component=xyz
solve static nlgeom=on solidMaterial=neo-hookean

Results comparison

Reference value	L2 convergence order p = 2.0000
Our result	L2 convergence order p = 1.9887
Deviation	0.56%
Tolerance	5%
Status	PASS · 0.56%
Element family	Solid element
Mesh details	3D куб [0,1]^3 (h-сгущение 2x2x2 -> 4x4x4 HEX8 + HEX20), метод искусственных решений (MMS) div0(P)+b0=0 при конечных деформациях Neo-Hookean

Updated: 2026-10-28 · version not recorded