Hybrid mesh: patch test across a welded wedge/tet interface

Meshing / hybrid hex + tet zonesPASS · <0.01%

A bar in uniform tension with a layer of three wedge layers on its clamped end face (refine inflate) welded to the tetrahedral rest. A constant stress field is representable exactly by every element type, so any mixed mesh that conforms at the interface must r… show full text

Tolerance:: 5%

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Problem statement

Geometry: Bar 60 × 20 × 20 mm. Hex zone: inflation of the face x = 0, thickness 3 mm, 3 layers, bias 1.2, weld (wedge6 layer + tet4 rest).
Material: Steel: E = 200 GPa, ν = 0.3.
Boundary conditions: Face x = 0 fixed in x, face y = 0 fixed in y, face z = 0 fixed in z (rigid modes only), uniform tension 100 MPa on the face x = 60 mm.
Measured quantity: Largest deviation of the nodal stresses σxx, σyy, σzz from the exact uniform field, relative to σ.

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=2e11 nu=0.3
primitive box dx=60 dy=20 dz=20
list faces of body1
refine inflate surface=1 thickness=3 layers=3 bias=1.2
mesh tet size=8
fix surface number 1 component=x
fix surface number 3 component=y
fix surface number 5 component=z
load surface number 2 pressure=-1e8
solve
minmax stress_xx
minmax stress_yy
minmax stress_zz

Results comparison

Reference value	σxx = 100 МПа во всех узлах, σyy = σzz = 0 (линейное поле должно воспроизводиться точно)
Our result	σxx ∈ [100.000000100.000000] МПа, \|σyy\|,\|σzz\| ≤ 5.10e-13 МПанаибольшее отклонение 5.10e-13 %
Deviation	<0.01%
Tolerance	5%
Status	PASS · <0.01%
Mesh details	гибрид: тет4 3407 + призм wedge6 276 (слой 3 × t=3 мм по грани x=0), 928 узлов (2784 ), размер 8 мм; расчёт native, скрипт 2.8 с

Updated: 2026-10-22 · WebCAE solver