hertzian_tangential_inner — DRIVE `tacslip` op

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

• Call: import fullseye as fs; fs.ledger.hertzian_tangential_inner(x, y, q0: 'float', a: 'float', G: 'float', nu: 'float') -> 'dict' (to call the implementation directly, import tacslip; tacslip.hertzian_tangential_inner(x, y, q0: 'float', a: 'float', G: 'float', nu: 'float') -> 'dict'; from the registry, opsdrive.get("hertzian_tangential_inner"))

Usage

Closed form of the surface displacement produced inside the circle r ≤ a by a Hertz-type tangential traction q0√(1−r²/a²) (Johnson 1985 Eq. 3.91). ux = (πq0/32Ga)[4(2−ν)a² − (4−3ν)x² − (4−ν)y²], uy = (πq0/32Ga)·2νxy [m]. Not valid outside the circle (use convolution there). Raises ValueError: a, G ≤ 0, x and y differ in shape.

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_tacsim_marker_shear — py -3.11 examples/poc_tacsim_marker_shear.py

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

course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same

Same category (`tacslip`)

mindlin_partial_slip · mindlin_traction · hertz_surface_ur · cerruti_kernel · cerruti_surface_displacement · membrane_shear_field · membrane_markers · displace_markers

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

hertzian_tangential_inner — DRIVE tacslip op