Contact — Inclined Block

ContactPASS · 0%

Unilateral, frictional, sliding, or interference-contact verification. Checks: friction threshold with changing contact basis.

Tolerance:: 5%

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Problem statement

Geometry: Block on rigid incline with mu=0.3; quasi-statically increase angle through 0..25 degrees.
Material: Constitutive or analytical definition: tan(alpha_critical)=mu.
Boundary conditions: Required solver capability: coulomb_friction_and_gravity. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Sliding begins at atan(mu)=16.699244234 degrees; before onset N=mg cos(alpha), T=mg sin(alpha).

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 E=1e9 nu=0.0
box width=3.0 depth=2.0 height=0.5
box width=0.6 depth=0.6 height=0.4
contact frictional mu=0.3 slave="surface number 11" master="surface number 6"
mesh tet size=0.5 order=1 bonding=0
fix surface number 1
fix surface number 8 component=y
load surface number 12 force=-1000 component=z
solve nonlinear steps=10
extract reaction target="surface number 6"

Results comparison

Reference value	16.699244 deg (atan(0.3)N=mgcos(alpha), T=min(mgsin(alpha), mu*N))
Our result	16.699284 deg (alpha=15 deg: N=965.93 N, T=258.82 N stickalpha=20 deg: N=939.69 N, T=281.91 N slip)
Deviation	0%
Tolerance	5%
Status	PASS · 0%
Element family	Solid element
Mesh details	16 nodes, 12 tet4 elements rotated by incline angle alpha in 0..25 deg (mg=1000 N, mu=0.3, eps_N=1e8 N/m, eps_T=1e8 N/m)

Updated: 2026-10-27 · version not recorded