cut_force_atkins — DRIVE cutting op

• Data kinds: scalar × scalar → table

• Call: import fullseye as fs; fs.ledger.cut_force_atkins(R_j_per_m2: 'float', width_mm: 'float', xi: 'float' = 0.0, wedge_deg: 'float | None' = None, mu: 'float' = 0.0, model: 'str | None' = None) -> 'dict' (to call the implementation directly, import cutting; cutting.cut_force_atkins(R_j_per_m2: 'float', width_mm: 'float', xi: 'float' = 0.0, wedge_deg: 'float | None' = None, mu: 'float' = 0.0, model: 'str | None' = None) -> 'dict'; from the registry, opsdrive.get("cut_force_atkins"))

Usage

Closed form of the cutting force for soft solids (scale = toughness R × cut width w, linear (1st order) in R and w). Returns a dict (N).

> The detailed description below is the original text — the summary and the headings are translated.

model="slice_push"(既定、wedge_deg なし): 摩擦なしの押し + 引き(Atkins 2016、Interface Focus 6:20160019 の式 1.2〜1.4): V/(Rw) = 1/(1+ξ²)、H/(Rw) = ξ/(1+ξ²)、F_res/(Rw) = 1/√(1+ξ²)。ξ = 刃に沿う速度 / 刃を横切る速度。model="wedge_friction"(wedge_deg を渡す、押しだけ ξ = 0): 弾性の切りくず + Coulomb 摩擦(Williams & Patel 2016、Interface Focus 6:20150108 の式 2.6、μ = tan β): Fc/(b Gc) = 1 / ((1 − cos θ) + sin θ / tan(β + θ))。θ は原文の工具角。最小は θ + β = 90° で 1/(1 − sin β)。★ 摩擦と刃角が入った slice/push の式は未読なので実装しない: ξ > 0 と wedge_deg / mu の同時指定は ValueError。

返り値: V(押し)、H(引き、wedge_friction では nan)、F_res、scale = R·w、wedge_friction では Fc_over_bGc。

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_food_cutting_measure — py -3.11 examples/poc_food_cutting_measure.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 (cutting)

cutting_scene · cutting_face_render · cutting_edge_render · cutting_episode_synth · cutting_wrist_mjcf · knife_edge_track · cut_depth_from_side · slice_thickness_profile


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

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.