Paper benchmarks
HF-coupled literature benchmarks the kernel must reproduce. Each card renders the observed vs. expected table with a per-paper tolerance envelope. Until the real DDM / lubrication couplings land, the observed column is a placeholder copy of the expected values, so a 0.00% difference here is not evidence of a match.
Hu et al., IJRMMS 105418 (2023)
| Case | Observed | Expected | Δ | Status | Analytical reference compared against |
|---|---|---|---|---|---|
| Δσ=2 MPa, θ=30° | 0.0000 | 0.0000 | 0.00% | placeholder | Hu et al. 2023 — simplified HF/NF crossing screen (not RP95)cross when Δσ · sin²θ ≥ τ_c (Hu et al. 2023 simplified screen) |
| Δσ=5 MPa, θ=45° | 0.0000 | 0.0000 | 0.00% | placeholder | Hu et al. 2023 — simplified HF/NF crossing screen (not RP95)cross when Δσ · sin²θ ≥ τ_c (Hu et al. 2023 simplified screen) |
| Δσ=8 MPa, θ=60° | 1.0000 | 1.0000 | 0.00% | placeholder | Hu et al. 2023 — simplified HF/NF crossing screen (not RP95)cross when Δσ · sin²θ ≥ τ_c (Hu et al. 2023 simplified screen) |
| Δσ=12 MPa, θ=75° | 1.0000 | 1.0000 | 0.00% | placeholder | Hu et al. 2023 — simplified HF/NF crossing screen (not RP95)cross when Δσ · sin²θ ≥ τ_c (Hu et al. 2023 simplified screen) |
| Δσ=15 MPa, θ=90° | 1.0000 | 1.0000 | 0.00% | placeholder | Hu et al. 2023 — simplified HF/NF crossing screen (not RP95)cross when Δσ · sin²θ ≥ τ_c (Hu et al. 2023 simplified screen) |
RMRE 2025, s00603-025-05085-4
RMRE 2025, s00603-025-05085-4
Fu, Johnson, Carrigan, IJNAMG (2013)
| Case | Observed | Expected | Δ | Status | Analytical reference compared against |
|---|---|---|---|---|---|
| Slip-onset time | 868.5438 s | 868.5438 s | 0.00% | placeholder | Fu 2013 — staggered CFL stability boundΔt_max ≤ safety · min_i (wᵢ³·ρ_f / (12μ·Lᵢ²)) |
| Coulomb margin at onset | 0.0000 Pa | 0.0000 Pa | 0.00% | placeholder | Fu 2013 — staggered CFL stability boundΔt_max ≤ safety · min_i (wᵢ³·ρ_f / (12μ·Lᵢ²)) |
Ren, He, et al., Energies 16(4) 1601 (2023)
Ren, He, et al., Energies 16(4) 1601 (2023) — Fig. 10
| Case | Observed | Expected | Δ | Status | Analytical reference compared against |
|---|---|---|---|---|---|
| Outer-cluster deflection @ 14 m | 9.0000 deg | 9.0000 deg | 0.00% | placeholder | Sneddon (1946) — planar-crack stress shadowΔσ_shadow = p_net·(1 − d/√(d²+a²)) |
| Cluster count | 3.0000 | 3.0000 | 0.00% | placeholder | Sneddon (1946) — planar-crack stress shadowΔσ_shadow = p_net·(1 − d/√(d²+a²)) |
| Stress-shadow drop | 3348247.8764 Pa | 3348247.8764 Pa | 0.00% | placeholder | Sneddon (1946) — planar-crack stress shadowΔσ_shadow = p_net·(1 − d/√(d²+a²)) |
Ren, He, et al., Energies 16(4) 1601 (2023) — Fig. 10
| Case | Observed | Expected | Δ | Status | Analytical reference compared against |
|---|---|---|---|---|---|
| Outer-cluster deflection @ 21 m | 4.0000 deg | 4.0000 deg | 0.00% | placeholder | Sneddon (1946) — planar-crack stress shadowΔσ_shadow = p_net·(1 − d/√(d²+a²)) |
| Cluster count | 3.0000 | 3.0000 | 0.00% | placeholder | Sneddon (1946) — planar-crack stress shadowΔσ_shadow = p_net·(1 − d/√(d²+a²)) |
| Stress-shadow drop | 2675830.5051 Pa | 2675830.5051 Pa | 0.00% | placeholder | Sneddon (1946) — planar-crack stress shadowΔσ_shadow = p_net·(1 − d/√(d²+a²)) |
Planar-3D en-échelon companion (UXFEM 2023 Fig. 10)
Open in PL3D validation →Middle-cluster of a 3-cluster array with pay-bench σh uplifted by the closed-form Sneddon shadow. Aperture and height residuals versus the analytical layered Sneddon reference — the same numerics gate the classic PL3D benchmarks use.
Middle of a 3-cluster array at 14 m (46 ft) spacing — pay-bench σh uplifted by 485 psi Sneddon shadow.
Ref: UXFEM (Ren, He et al., Energies 16(4) 1601, 2023) — Fig. 10.
- Aperture RMSE
- 0.0000 in
- Aperture max|Δ|
- 0.0000 in
- Height RMSE
- 0.00 ft
- Final height
- 153.6 ft
Middle of a 3-cluster array at 21 m (69 ft) spacing — pay-bench σh uplifted by 387 psi Sneddon shadow.
Ref: UXFEM (Ren, He et al., Energies 16(4) 1601, 2023) — Fig. 10.
- Aperture RMSE
- 0.0000 in
- Aperture max|Δ|
- 0.0000 in
- Height RMSE
- 0.00 ft
- Final height
- 124.6 ft
References: Hu, Gan, Hurst, Elsworth — IJRMMS 105418 (2023); RMRE 2025 — s00603-025-05085-4; Fu, Johnson, Carrigan — IJNAMG nag.2135 (2013); Ren, He et al. — UXFEM, Energies 16(4) 1601 (2023), Fig. 10 (KGD parity + Phase 2d en-échelon middle-cluster scenarios at 14 m / 21 m spacing).