FFS Level 3 Analysis for Shell Dis-Bonding

Bonded contact at intact shell-clad interface

1. Executive Summary

A 2.5-metre patch of clad dis-bonding was detected below the T3 Thermowell on pressure vessel Tag 16-RB-00-201 during PAUT inspection. Clad dis-bonding is a phenomenon where the metallurgical bond between the corrosion-resistant cladding and the structural base shell fails, creating a gap at the interface. Unlike cracks, dis-bonding does not create a through-wall defect, but it fundamentally changes how the shell and cladding share structural load under pressure.

 

The equipment operates at 17.93 MPa and 454°C – extreme conditions that demand rigorous assessment. This FFS Level 3 analysis per API 579-1 determined:

  • All three failure modes assessed: Plastic Collapse, Local Failure, Buckling – ALL PASS
  • Maximum PL stress: 144.85 MPa vs 256.33 MPa allowable (56% utilization)
  • Local failure: PL+Pb = 196.09 MPa vs 665.92 MPa allowable (29% utilization)
  • Buckling: design vacuum 0.1 MPa vs allowable 7.95 MPa (79× safety margin)
  • FEA validated against hand calculation within ~3%

The analysis confirmed the equipment can continue operating safely, avoiding unnecessary shutdown and repair costs estimated in the millions of dollars.

2. Project Overview

ParameterValue
EquipmentPressure Vessel – Tag 16-RB-00-201
Defect TypeShell Clad Dis-Bonding – 2.5m patch below T3 Thermowell
Assessment StandardAPI 579-1/ASME FFS-1 2021, Level 3
Design CodeASME Sec VIII Div 2, Ed. 2004 + 2006
Analysis CodeASME Sec VIII Div 2, Ed. 2021 & API 579
Design Pressure (Internal)17.93 MPa
Design Pressure (External)0.1 MPa
Operating Pressure17.14 MPa
Design Temperature454°C
Shell MaterialSA 336 F22 Cl 3
Operating Weight550,000 kg
3D Model — Dis-bonding locations at shell course

Figure 1: 3D Model — Dis-bonding locations at shell course

PAUT NDT Data — 2.5m dis-bonding scan

Figure 2: PAUT NDT Data – 2.5m dis-bonding scan

3. FEA Methodology

The analysis uses elastic stress analysis per ASME VIII-2 Annex 2D with API 579-1 Level 3 methodology. The dis-bonded shell-clad interface is modelled using frictional contact (μ=0.3), allowing realistic simulation of the separated interface. Intact regions use bonded contact to maintain metallurgical adhesion continuity. This dual-contact approach is the defining feature of dis-bonding FEA – it captures the real structural behavior where dis-bonded clad can lift under internal pressure but is constrained by friction.

Model Statistics

Parameter Value
Element Type SOLID186 — 20-node, 3 DOF/node
Analysis Type Linear Static (Elastic)
Contact @ Dis-Bonded Region Frictional (μ = 0.3)
Contact @ Intact Region Bonded
Material SA 336 F22 Cl 3 at 454°C
Software ANSYS Mechanical

Mesh Quality

Quality Check Acceptable Status
Aspect Ratio < 5.0 PASS
Jacobian Ratio > 0.5 PASS
Skewness < 0.70 PASS
Element Quality > 0.1 PASS
Figure 3: Full FE Mesh — SOLID186

Figure 3: Full FE Mesh – SOLID186

Figure 4: Mesh refinement at dis-bonded shell area

Figure 4: Mesh refinement at dis-bonded shell area

4. Boundary Conditions & Loading

Boundary conditions are applied to simulate realistic operating constraints:

  • Self-weight: Standard Earth gravity applied to entire model (550,000 kg operating weight)
  • Internal/External pressure: Applied perpendicularly to all wetted surfaces
  • Shell cutout thrust: Pressure-induced thrust applied at shell cutout (outward for internal, inward for external)
  • Operating weight: Applied as downward force at shell cutout
  • Displacement BC: Tangential and axial DOFs restrained at shell cutout, radial direction free
  • Frictional contact (μ=0.3) allows relative sliding at the dis-bonded clad-shell interface
Figure 5: Frictional contact at dis-bonded region (μ=0.3)

Figure 5: Frictional contact at dis-bonded region (μ=0.3)

Bonded contact at intact shell-clad interface

Figure 6: Bonded contact at intact shell-clad interface

5. Load Case Analysis

Load Case 1: Internal Pressure

Internal design pressure (17.93 MPa) applied on all wetted surfaces with:

  • Design internal pressure: 17.93 MPa on all internal surfaces
  • Outward thrust at shell cutout due to internal pressure
  • Operating weight: 550,000 kg acting downward
  • Displacement BC at shell cutout (tangential + axial restrained)
Figure 7: LC1 setup — Internal pressure + thrust + operating weight

Figure 7: LC1 setup – Internal pressure + thrust + operating weight

Load Case 2: External Pressure (Vacuum)

External design pressure (0.1 MPa) with inward thrust – governs the buckling assessment:

  • Design external pressure: 0.1 MPa on all outer surfaces
  • Inward thrust at shell cutout due to external pressure
  • Operating weight acting downward
  • Displacement BC identical to LC1
Figure 8: LC2 setup — External pressure + inward thrust

Figure 8: LC2 setup — External pressure + inward thrust

6. Detailed Results

Von Mises stress distribution for both load cases. LC1 (internal pressure) produces significantly higher stresses at the dis-bonding region. The peak stress occurs where the dis-bonded clad transitions to bonded clad, creating a stress concentration.

Figure 9: Von Mises stress – LC1 full model

Figure 10: Stress at dis-bonding region — LC1

Figure 10: Stress at dis-bonding region – LC1

Figure 11: Stress detail at critical location — LC1

Figure 11: Stress detail at critical location — LC1

Von Mises stress - LC2 full model

Figure 12: Von Mises stress – LC2 full model

Figure 13: Stress detail at dis-bonding – LC2

7. Stress Acceptance & Buckling Assessment

Stress acceptance per ASME VIII Div 2 Annex 2D with API 579 RSFa = 0.9:

Allowable stresses (adjusted by RSFa = 0.9):

  • S = 149.84 / 0.9 = 166.48 MPa
  • SPL = Sy = 230.88 / 0.9 = 256.53 MPa
  • SPS = 2×Sy = 461.76 / 0.9 = 513.06 MPa
  • Local failure: 4×S = 665.92 MPa

Plastic Collapse - PL Stresses

Load Case Location PL (MPa) Allowable (MPa) Result
LC1 Max stress location 144.85 256.33 PASS
LC2 Max stress location 24.4 256.33 PASS

Plastic Collapse - PL+Pb+Q Stresses

Load Case Location PL+Pb+Q (MPa) Allowable (MPa) Result
LC1 Bellow 146.07 513.06 PASS
LC1 Nozzle N4 neck 27.893 513.06 PASS

Local Failure (Cl. 5.3.2)

Load Case PL+Pb (MPa) Allowable 4S (MPa) Result
LC1 196.09 665.92 PASS
LC2 -53.53 665.92 PASS

Buckling Assessment

Linear buckling analysis with pre-stress from design loads:

  • Load multiplier from eigenvalue analysis: 197.73
  • Buckling load = {(0.1) + 197.73 × (0.1)} / 2.5 = 7.95 MPa
  • Design external pressure: 0.1 MPa << 7.95 MPa allowable
  • Result: PASS — massive safety margin (79× factor)
Figure 14: Buckling mode shape

Figure 14: Buckling mode shape

8. Model Validation

Hoop Stress Validation

ASME VIII-2 Part 4, Clause 4.3.10.2 (Eq. 4.3.32) — hoop stress in shell away from discontinuity:

Shell OD = 4,073 mm, ID = 3,600 mm, P = 17.94 MPa

MethodHoop Stress (MPa)Deviation
Hand Calculation154.48
FEA Result150.0~3%

The FEA result is slightly lower than hand calculation – expected because FEA captures 3D effects including adjacent structural influence.

Global Equilibrium Check

Global force and moment equilibrium verified through ANSYS force reaction summary at boundary conditions. Total applied loads match total reaction forces within solver tolerance.

Load Case Location PL+Pb+Q (MPa) Allowable (MPa) Result
LC1 Bellow 146.07 513.06 PASS
LC1 Nozzle N4 neck 27.893 513.06 PASS
Figure 15: Hoop stress comparison - FEA vs analytical

Figure 15: Hoop stress comparison – FEA vs analytical

9. Lessons Learned

Contact Modelling Defines Dis-Bonding FEA Accuracy: The frictional contact (μ=0.3) at dis-bonded regions and bonded contact at intact regions is the critical modelling decision. This dual-contact approach captures the real structural behavior where dis-bonded clad can lift under internal pressure but remains friction-constrained. Without proper contact modelling, the stress redistribution around the dis-bonding patch would be entirely wrong.

 

Worst-Case Modelling Provides Conservative Confidence: Modelling the entire 2.5m patch as fully dis-bonded – rather than using partial bonding based on NDT intensity maps – provides conservative results. In reality, some areas may still have partial adhesion. The worst-case approach gives high confidence in the fitness-for-service conclusion.

 

RSFa Factor Is Non-Negotiable for API 579: The Allowable Remaining Strength Factor (RSFa=0.9) reduces all allowable stresses by ~11%. This accounts for uncertainty in NDT data accuracy and the actual extent of dis-bonding. Forgetting this factor would produce unconservative acceptance criteria.

10. What Could Have Gone Wrong

Ignoring Contact Mechanics: Modelling the dis-bonded area without contact elements – either as fully bonded (wrong, ignores the defect) or fully disconnected (wrong, no friction restraint) – would produce fundamentally inaccurate results. Contact mechanics with appropriate friction coefficient is mandatory for dis-bonding simulation.

 

Skipping the Buckling Check: A dis-bonded clad layer under external pressure is essentially a thin unsupported plate susceptible to buckling. Without the eigenvalue buckling analysis, the vacuum condition would go unassessed. In this case the margin is massive (0.1 vs 7.95 MPa), but for thinner cladding this could govern.

 

Using Room-Temperature Material Properties: SA 336 F22 Cl 3 properties at 454°C differ significantly from room temperature – yield drops from ~310 to 230.88 MPa. Using room-temperature values would overestimate material strength and produce unconservative allowable stresses.

11. Recommendations

For Repair Planning

  • No immediate repair required – stresses are well within allowable limits at 56% utilization
  • Schedule repair of dis-bonded area during next planned turnaround to restore full clad integrity
  • Consider weld overlay repair or clad replacement in the dis-bonded zone

For Monitoring

  • Continue PAUT monitoring of the 2.5m dis-bonded zone at each turnaround
  • Track any growth in the dis-bonded area – expansion beyond the current patch would require re-assessment
  • Implement AE (acoustic emission) monitoring if available for continuous surveillance

For Re-Assessment Timeline

  • Re-assess if operating conditions change (pressure increase, temperature excursion)
  • Re-assess if dis-bonding area grows beyond the 2.5m patch based on NDT surveillance
  • Recommended re-assessment interval: next scheduled inspection, or 5 years maximum

12. Limitations & Assumptions

  • Dis-bonding extent based on PAUT NDT data – accuracy depends on NDT resolution and operator skill
  • Entire 2.5m patch modelled as fully dis-bonded (worst-case); actual condition may have partial bonding
  • Linear elastic analysis – no plastic redistribution effects considered
  • Friction coefficient μ=0.3 assumed at dis-bonded interface – actual value depends on surface conditions
  • No hydrogen-induced damage or creep effects included in this assessment

13. Conclusion

  • All three failure modes (Plastic Collapse, Local Failure, Buckling) assessed per API 579-1 Annex 2D — ALL PASS
  • Plastic collapse: PL = 144.85 MPa vs 256.33 MPa allowable (56% utilization)
  • Local failure: PL+Pb = 196.09 MPa vs 665.92 MPa allowable (29% utilization)
  • Buckling: 0.1 MPa vs 7.95 MPa allowable vacuum (79× safety margin)
  • FEA validated against ASME hand calculation — hoop stress within ~3%
  • Contact modelling (frictional at dis-bonded, bonded at intact) accurately represents structural behavior
  • Equipment Tag 16-RB-00-201 is safe for continued service under current design conditions

Status: ACCEPTABLE – Equipment cleared for continued operation per API 579-1/ASME FFS-1 Level 3.

Download the Full Technical Case Study

The full technical report includes:

  • API 579 Level 3 assessment of shell clad dis-bonding with multiple failure modes
  • Stress evaluation for plastic collapse, local failure, and buckling
  • Detailed contact modelling approach (frictional vs bonded interfaces)
  • Load case definitions including internal pressure and vacuum conditions
  • Stress contour plots and critical region analysis
  • Validation including hoop stress comparison and equilibrium checks
  • Code references including API 579-1 / ASME FFS-1 and ASME Section VIII

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