Connection Structural Integrity Index
—
CSII
—
LOADING…
CSII = 0.40·(1−S_deg) + 0.35·(1−D/D_allow)
+ 0.25·(β/β_target)
Accuracy ±2.93% · Forecast 24–48h
+ 0.25·(β/β_target)
Accuracy ±2.93% · Forecast 24–48h
Safety Bounds — Real-Time
Reliability β
—
≥ 3.80 target
Fatigue D_joint
— M
< 0.80 limit
Stiffness S_deg
— %
< 10% warning
Crack Depth a
— mm
< 0.6·a_cr
Module Outputs — Current Cycle
da/dN ×10⁻⁹
— m/cyc
Paris law
ΔK SIF
— MPa√m
K_Ic bound
A_score Anomaly
—
> 3σ threshold
LSTM +48h
—
AISL forecast
Welded T-Joint — Strain Field & Crack Growth
━ Weld toe
━ Crack propagation
IIW 0.4t / 1.0t
Paris–Erdogan — da/dN vs ΔK
da/dN (crack rate)—
ΔK (SIF)—
Stiffness K_joint—
Three-Module Assessment Pipeline — SCFMM · FDARM · CSDM
SCFMM
Stress Concentration
& Fracture Mechanics
& Fracture Mechanics
—
da/dN
—
ΔK
—
a_crack
—
FDARM
Fatigue Damage
& Reliability Module
& Reliability Module
—
D_joint
—
β index
—
FAT class
FAT71
CSDM
Connection Stiffness
Degradation Module
Degradation Module
—
S_deg
—
K/K₀
—
AI assist
XGB+LSTM
CSII — 72-Hour History & 48-Hour AISL Forecast
SCFMM + FDARM + CSDM composite · Physics-constrained LSTM projection
Fatigue Damage Map — D(x,t)
30 instrumented connection details · Palmgren–Miner · IIW hot-spot · FAT71
D<0.30
0.30–0.60
>0.60
Goodman corr.
48h AISL Trajectory Forecast
XGBoost anomaly + physics-constrained LSTM · ±σ band
T+0hT+12hT+24hT+36hT+48h
Governing Equations
FRAME-LINK v1.0.0 analytical core
Eq. 1 — Paris–Erdogan
da/dN = C·(ΔK)^m
Eq. 2 — Stress Intensity Factor
ΔK = Y·Δσ·√(π·a)
Eq. 3 — Palmgren–Miner
D_joint = Σ n_i/N_i(Δσ_i)
Eq. 4 — Cornell Reliability
β = (μ_R - μ_S)/√(σ_R² + σ_S² + σ_AI²)
Eq. 5 — Stiffness Degradation
S_deg = 1 - K_joint/K_joint,0
Eq. 6 — Connection Integrity Index
CSII = 0.40·(1-S_deg) + 0.35·(1-D/D_allow) + 0.25·(β/β_target)
Safety Bounds & Governance Thresholds
CONN-SAFETY-01 · v1.0.0 certification bounds
| Parameter | Current | Bound | Status |
|---|---|---|---|
| CSII | — | ≥ 0.90 | Steady |
| β index | — | ≥ 3.80 | OK |
| D_fatigue | — | < 0.80 | OK |
| S_deg | — | < 0.10 | OK |
| Crack depth a | — | < 0.6·a_cr | OK |
| da/dN | — | — | Monitored |
| A_score | — | < 3σ | Watch |
Validation v1.0.0
CSII Accuracy±2.93%
Crack Rate Error4.1%
Fatigue MAE3.3%
β Accuracy±4.3%