punch_surface_uz — DRIVE `tactorque` op

• Data kinds: matrix × scalar × scalar × scalar × scalar → matrix

• Call: import fullseye as fs; fs.ledger.punch_surface_uz(r, a: 'float', P: 'float', G: 'float', nu: 'float') -> 'np.ndarray' (to call the implementation directly, import tactorque; tactorque.punch_surface_uz(r, a: 'float', P: 'float', G: 'float', nu: 'float') -> 'np.ndarray'; from the registry, opsdrive.get("punch_surface_uz"))

Usage

Normal displacement [m] of the half-space surface under a flat circular punch (normal force P) (positive = sinking): uniform δ = P(1−ν)/(4Ga) inside the circle, (2δ/π) arcsin(a/r) outside (flat punch of Johnson 1985 §3.4; the equation number could not be confirmed in the text, unverified — verified numerically by agreeing within 0.35 % with the convolution of the Boussinesq kernel Kz). Raises ValueError: a, P, G ≤ 0.

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_tactile_dipole_torque — py -3.11 examples/poc_tactile_dipole_torque.py

Ops the type connects to (they accept `matrix` as input)

world_camera · lidar_scan · relative_motion · foe_from_motion · flow_from_depth_motion · ttc_truth · world_materials · mesh_signed_volume

Same category (`tactorque`)

punch_pressure · hertz_pressure_shifted · ellipse_pressure_shifted · pressure_first_moment · boussinesq_kernel · boussinesq_surface_displacement · surface_divergence_closed_form · tilt_shear_field

*Provenance: tactorque.py — DRIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

punch_surface_uz — DRIVE tactorque op