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OneCAD-Simulation/tests/oracle/explicit-contact-patch/README.md
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jyvikoandClaude Opus 5.5 a30d0b5c5b explicit: deformable contact and friction, verified by bars, sliding blocks, the patch test and Hertz
Segment-to-segment penalty contact between element faces: each secondary
face and each main face facing it are projected onto the secondary face's
plane, split into triangles, clipped (Sutherland–Hodgman) and integrated
with a three-point rule per sub-triangle (Puso–Laursen segmentation, the
penalty at the integration points as Fischer–Wriggers), so a uniform
pressure gives the consistent nodal forces on both meshes and the contact
patch test passes on non-matching meshes. Every contact runs both ways at
half the penalty: pairs with each surface as the secondary, general and
self contact face against face. A bucket grid of face boxes every
increment, faces integrated in parallel and their forces added in face
order: the same numbers on any thread count.

The penalty per area ε = s γ min(m/A)/Δt² comes from the lumped masses,
each node's directional area and the stable increment, bounded by
Gershgorin's row sums so contact never shortens the increment. Coulomb
friction with exponential decay by a regularised return map at the
secondary nodes; rigid walls take Coulomb impulses. Contact work and
friction dissipation join the energy balance; each contact reports its
peak force, first and last contact, deepest penetration, friction and the
nodes adjusted at the start (initial penetrations adjusted strain-free or
refused with the node, face and depth); a cap on contact faces.

Verified (crates/explicit/tests/contact.rs, tests/oracle/explicit-*):
colliding bars (2L/c +1.2%, ρcAv₀/2, KE kept to 0.005%, contact energy
back to 8e-5 of it), blocks sliding to a stop on a rigid wall and on a
plate under constant and decaying friction (0.005–0.2%), the patch test
(σ_zz uniform to 0.06%), two spheres colliding against Hertz (peak +2.3%,
duration −0.4%; the oracle case waits for a graded sphere mesher), a free
body untouched by general contact, determinism across threads. Oracle
measures gain `over` (ratios). Existing fixtures do not move.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
2026-10-14 12:49:45 -04:00

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Contact patch test (explicit contact, non-matching meshes)

Two unit cubes stacked along z, meshed independently: 3 × 3 × 2 hex8 below, 2 × 2 × 2 above, so the nodes of the interface at z = 1 do not match. A frictionless contact pair joins the lower block's top and the upper block's bottom. The faces x = 0 and y = 0 of both blocks are symmetry planes (normal displacement held), the base z = 0 is held in z, and the top z = 2 is pushed down by 0.01 at constant speed over a hundred wave transits (E = 1000, ν = 0.3, ρ = 1). The exact state is uniaxial stress, uniform in both blocks; the stresses are compared as ratios, since the penalty takes a small, uniform share of the squeeze.