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The Application of Finite Element Modelling to Pressure Vessel Design Codes

To ensure that a pressure vessel operates safely over its entire lifetimes it is designed to a nationally recognised design code. To date the most widely used codes are ASME VIII [1] and BS 5500 [2]. Within Europe, BS5500 has recently been reissued as a national standard, pd5500, and from May 2002, all vessels wil have to comply with the new draft European standard prEN 13442. These codes specify the minimum requirements for design, materials, fabrication and testing of pressure vessels. The design criteria are intended to guard against the following modes of failure:

  • Gross Plastic deformation
  • Incremental Collapse
  • Buckling
  • Fatigue
  • Creep

The main design section of the codes consists of a series of design rules based on strength of materials equations and empirical formulae. This method of design is commonly referred to as the ‘Design by Rule’ (or Design by Formula) approach. These equations and formulae cover the most common geometries found in vessel design such as flat plates, cylinders, spheres, etc. However, when designs are more complex it becomes difficult to apply Design by Rule without building in large factors of safety to cover for approximations made in representation of geometry.

To cover the design of more complex vessel geometries a separate section of the code was written to use the results from numerical analyses and is termed the ‘Design by Analysis’ approach. This section of the code was originally based on shell discontinuity analysis and the Tresca criterion and acceptable stress levels are prescribed in terms of membrane, bending and peak stress intensities. Engineers attempting to use FEA to design vessels to code are faced with the requirement to translate the stress results into a form that is compatible with these stress intensity levels, or with the inelastic limit load and shakedown analyses requirements that are included in the new prEN13445-3 (based on ASME inelastic Design by Analysis route).

Contents

Acknowledgements1
Nomenclature2
List of Figures3
1Introduction4
2Pressure Vessel Design codes6
2.1Linear Elastic Analysis6
2.1.1Design by Rule6
2.1.2Design by Analysis7
2.1.3Applying Code Linear Elastic Criteria to FEA8
2.2Inelastic Analysis10
2.2.1Gross Plastic Deformation10
2.2.2Incremental Collapse11
3Case Study: GD Engineering Bandlock closure14
3.1Finite Element Modelling14
3.1.1Linear Elastic Analysis15
3.1.2Monotonic Elastic Plastic Analysis15
3.1.3Cyclic Elastic-Plastic Analysis15
3.1.4Linear Elastic Fracture Mechanics Analysis15
3.2Application of Design Code Criteria16
3.2.1Linear Elastic Results16
3.2.2Monotonic Elastic Plastic Results17
3.2.3Cyclic Elastic Plastic Results17
3.2.4Fracture Results18
3.3Review of Results of Bandlock Closure Analyses18
4Discussions on the Application of the Finite Element Method to Pressure Vessel Design Codes36
References39
Appendix: Visual Basic code for Kroenke’s method41

Document Details

ReferenceR0071
AuthorsWarrior. N Durrant. J
LanguageEnglish
AudienceAnalyst
TypePublication
Date 1st January 2000
RegionGlobal

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