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  2. title: On convergence of linearized stresses in an infinite pipe computed using the finite element method
  3. subtitle: Fino benchmark problem series
  4. docnumber: SP-FI-18-BM-B2BD
  5. author: Jeremy Theler
  6. authoremail: jeremy@seamplex.com
  7. keywords: ASME, stress linearization, infinite pipe, finite elements
  8. abstract: |
  9. This technical report studies the linearized stresses according to ASME (i.e. membrane and membrane plus bending stresses) in an infinite-long cylindrical pipe subject to an uniform internal pressure. In particular, the linearized stresses calculated using the finite-element method (as computed by the free and open source tool [Fino](https://www.seamplex.com/fino)) depend on the number of element through the pipe thickness. These numerical results are compared to the analytical solution of the infinite-pipe problem. Differences between first and second-order grids, rate of convergence and errors as a function of the computational effort are addressed. The main conclusions are that it is mandatory to use at least second-order elements to accurately compute the membrane plus bending stresses and that two elements along the pipe thickness are enough to reasonably compute the linearized stresses.
  10. fontsize: 11pt
  11. lang: en-US
  12. bibliography: references.bib
  13. biblatexoptions: sorting=none
  14. link-citations: true
  15. colorlinks: true
  16. linkReferences: true
  17. nameInLink: true
  18. mathspec: true
  19. toc: true
  20. formats: html tex pdf
  21. listings: true
  22. logo1ver: logo-seamplex
  23. logo1ver_width: 40mm
  24. logo2ver: fino
  25. logo2ver_width: 35mm
  26. template: full
  27. ...