combined_modulus — DRIVE tacsim op

• Data kinds: scalar × scalar → scalar

• Call: import fullseye as fs; fs.ledger.combined_modulus(E1: 'float', nu1: 'float', E2: 'float | None' = None, nu2: 'float' = 0.0) -> 'float' (to call the implementation directly, import tacsim; tacsim.combined_modulus(E1: 'float', nu1: 'float', E2: 'float | None' = None, nu2: 'float' = 0.0) -> 'float'; from the registry, opsdrive.get("combined_modulus"))

Usage

Combined modulus E*: 1/E* = (1 − ν1²)/E1 + (1 − ν2²)/E2 (Johnson 1985 Eq. 4.9). E2=None means a rigid indenter (the 2nd term is 0).

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

Raises ValueError: E ≤ 0、|ν| ≥ 1(Poisson 比は (−1, 0.5] が物理的だが上限は見ない)。

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_knife_tactile_toughness — py -3.11 examples/poc_knife_tactile_toughness.py

• poc_tacsim_elastic_membrane — py -3.11 examples/poc_tacsim_elastic_membrane.py

• poc_tacsim_marker_shear — py -3.11 examples/poc_tacsim_marker_shear.py

• poc_tactile_dipole_torque — py -3.11 examples/poc_tactile_dipole_torque.py

Ops the type connects to (they accept scalar as input)

spin_from_marker_sequence · carla_transform_matrix · carla_pose_to_world · carla_camera_pose · carla_xy_yaw · carla_scene_load · town_chain · osm_parse

Same category (tacsim)

hertz_sphere · hertz_force · hertz_cylinder · hertz_surface_uz · hertz_pressure · membrane_indent_sphere · membrane_indent_shape · membrane_lights


*Provenance: tacsim.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.