Plasticity — J2 Multi Element Patch

PlasticityPASS · <0.01%

Plastic constitutive integration, history variables, and structural limit-load verification. Checks: plastic constitutive integration plus assembly.

Tolerance:: 5%

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Problem statement

Geometry: Prescribe the same affine uniaxial/shear strain histories on regular and distorted 2x2x2 patches.
Material: Constitutive or analytical definition: Homogeneous prescribed deformation reduces each integration point to the exact material-point path.
Boundary conditions: Required solver capability: small_strain_j2. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Every integration point follows the corresponding material-point oracle; reactions equal volume integral of the analytic stress.

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 E=210e9 nu=0.3 plasticity=j2 yield=250e6 hardening=linear et=1e9
primitive box dx=100 dy=10 dz=10
mesh tet size=40 order=2
fix surface number 1 component=x
fix surface number 3 component=y
fix surface number 5 component=z
load surface number 2 pressure=-258809523.81
nlgeom material loadpath="1,0.3"
solve
minmax plastic_strain
minmax stress_xx
probe plastic_strain_max id="epmax"

Results comparison

Reference value	каждая точка = оракул материальной точкиреакции = ∫σ dA
Our result	разброс εp по узлам ≤ 0 % от pΣR_x = −σ·A
Deviation	<0.01%
Tolerance	5%
Status	PASS · <0.01%
Mesh details	неструктурированные сетки нативного Netgen (искажённые элементы разной формы): тет10: 33 тетр.; тет4: 33 тетр.; сдвиг тет10: 23 тетр.; нагрузка по σ, не по заданной деформации

Updated: 2026-10-21 · WebCAE solver