FFS Level 3 Crack Analysis - Shell Weld B4

Figure 2: Bc Fixed

1. Executive Summary

A crack was detected at Shell Weld B4 of pressure vessel Tag 16-VV-VW-402 during routine nondestructive testing inspection. The equipment operates under high-pressure, high-temperature service conditions and the owner needed to determine whether continued operation is safe without immediate repair.

 

An API 579-1/ASME FFS-1 Level 3 assessment was performed using elastic-plastic finite element analysis with J-integral and Failure Assessment Diagram (FAD) analysis. This is the most rigorous level of fitness-for-service assessment, requiring detailed fracture mechanics computation.

 

Business Impact: The FFS Level 3 assessment confirmed the crack is non-growing and acceptable for continued service. This eliminated the need for an emergency shutdown, saving significant production downtime and repair costs while maintaining full safety compliance through documented monitoring.

2. Industry Background - FFS Crack Analysis

Fitness-For-Service (FFS) is the engineering methodology for evaluating whether damaged or degraded equipment can continue to safely operate. API 579-1/ASME FFS-1 provides a three-level assessment framework.

Level 1 uses simplified screening criteria. Level 2 applies more detailed analysis with specific flaw geometry. Level 3 – the most rigorous – requires detailed FEA and fracture mechanics analysis including elastic-plastic material behavior, J-integral computation, and Failure Assessment Diagram evaluation.

The J-integral quantifies the energy release rate at crack tips, capturing both elastic and plastic contributions under high-pressure service. The Failure Assessment Diagram plots the fracture ratio (Kr) against the load ratio (Lr) – if the operating point falls inside the FAD envelope curve, the crack is acceptable for continued service.

3. Project Overview

Equipment Pressure Vessel — Tag 16-VV-VW-402
Crack Location Shell Weld B4
Assessment Standard API 579-1/ASME FFS-1 2021, Level 3
Design Code ASME Section VIII Div 1/2
Software ANSYS Mechanical
Material SA-516 Gr 70
Element Type SOLID186 — 20-node quadratic hexahedral
Material Model Elastic-Plastic Multilinear
Analysis Type Elastic-Plastic with J-integral
Load Steps 10 incremental steps (0.1–1.0 sec)
Figure 1: Fad Curve

Figure 1: Fad Curve

Figure 2: Bc Fixed

Figure 2: Bc Fixed

Figure 3: Bc Gravity

Figure 4: Bc Operating Weight

Figure 4: Bc Operating Weight

Figure 5: Bc Pressure

Figure 5: Bc Pressure

Figure 6: Bc Thrust

Figure 7: Crack Dimensions

Figure 8: Crack Model Detail

4. FEA Methodology

The analysis follows the API 579-1 Level 3 procedure: classify all loads as primary, secondary, or residual. Then build the elastic-plastic finite element model using multilinear material properties for SA-516 Gr 70 at operating temperature. Apply loads incrementally in 10 load steps from 0.1 to 1.0 seconds.

At each load step, compute the J-integral and stress intensity factor at the crack tip using spider mesh (concentric ring element arrangement). Evaluate KJ from J-integral. Calculate the FAD coordinates: Kr = Koperating/KJ,elastic and Lr = σref/σy. Plot the operating point on the Failure Assessment Diagram. Assess acceptability based on the position relative to the FAD envelope curve.

5. Boundary Conditions

Internal pressure applied incrementally in 10 load steps to capture the full elastic-plastic response and J-integral evolution at the crack tip throughout the loading history. End-cap forces applied at nozzle openings to maintain structural equilibrium. Self-weight including contents applied as distributed body force.

Crack faces modelled with frictionless contact elements and no-penetration condition to allow crack opening under load. Spider mesh at crack tip provides path-independent J-integral computation using 6 contour integrals per ASTM E1820. Fixed supports at saddle locations per actual vessel restraint conditions.

6. Analysis Results

The elastic-plastic analysis completed with force convergence at all 10 load steps per ASME Sec VIII Div.2 §5.2.4.4. Equivalent stress, J-integral, and stress intensity factors were extracted at each step for both the defect-free and cracked configurations.

The FAD assessment point lies within the acceptable region of the Failure Assessment Diagram, confirming the crack is non-growing and safe for continued service under current operating conditions.

7. Model Validation

FEA hoop stress results were validated against ASME VIII-2 Part 4 Clause 4.3.10.2 analytical calculation. Excellent agreement was achieved, confirming the FEA model setup, mesh quality, and boundary conditions are correct.

8. Lessons Learned

Spider mesh is non-negotiable for J-integral computation. Standard meshing produces inaccurate J values. The concentric ring pattern ensures path-independent evaluation, the foundation of the entire Level 3 assessment.

Multilinear material model matters. Linear elastic analysis cannot capture the plastic deformation at crack tips. The multilinear stress-strain curve enables accurate J-integral computation under elastic-plastic conditions.

9. What Could Have Gone Wrong

Without a Level 3 FFS assessment, the crack detection would have forced an immediate shutdown and costly weld repair. Using Level 1 or Level 2 assessments may have incorrectly flagged the crack as critical. Elastic-only analysis would overestimate crack tip stresses and produce incorrect FAD coordinates.

10. Recommendations

Schedule periodic PAUT inspections every 2-3 years to track potential crack growth. Establish 10% growth threshold as trigger for re-assessment. Document assessment basis in equipment integrity database. Maintain operating condition envelope – any changes require re-evaluation of FAD coordinates.

11. Limitations & Assumptions

Assumption / LimitationJustification
Elastic-plastic multilinear material modelRequired for Level 3 FFS – captures plastic zone at crack tip
Crack dimensions from PAUT NDT dataGold-standard NDT method for crack sizing accuracy
No crack growth assessmentCracks assessed as non-growing per FAD
No environmental degradation factorNo hydrogen embrittlement or SCC identified
Spider mesh at crack tip (6 contours)Path-independent J-integral per ASTM E1820
SOLID186 elementsAccurate through-thickness stress gradient for J-integral

12. Conclusion

The FFS Level 3 assessment, conducted per API 579-1/ASME FFS-1 2021, confirms that the crack at Shell Weld B4 (Tag 16-VV-VW-402) is acceptable for continued service. The crack is non-growing with negligible fracture driving force. FEA validated with excellent agreement. Equipment is structurally stable. Regular NDT monitoring recommended.

Download the Full Technical Case Study

The full technical report includes:

  • API 579 Level 3 crack assessment with J-integral and FAD evaluation
  • Detailed stress intensity and crack tip behavior analysis
  • Elastic-plastic FEA methodology with multilinear material modeling
  • Incremental load application and crack modelling approach
  • Stress contour plots and crack region results
  • Validation including hoop stress comparison and convergence checks
  • Code references including API 579-1 / ASME FFS-1 and ASME Section VIII

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