LIVE ASSESSMENT
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
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 Hot-Spot Zone crack tip Base Metal Base Metal F_z (cyclic)
━ 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
da/dN
ΔK
a_crack
FDARM
Fatigue Damage
& Reliability Module
D_joint
β index
FAT class
FAT71
CSDM
Connection Stiffness
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
0.65 CRITICAL 0.75 L2 WARNING 0.90 L1 MONITORING STEADY ELASTIC
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
0.80 0.90 1.00 NOW
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
ParameterCurrentBoundStatus
CSII≥ 0.90Steady
β index≥ 3.80OK
D_fatigue< 0.80OK
S_deg< 0.10OK
Crack depth a< 0.6·a_crOK
da/dNMonitored
A_score< 3σWatch
Validation v1.0.0
CSII Accuracy±2.93% Crack Rate Error4.1% Fatigue MAE3.3% β Accuracy±4.3%