---
title: On convergence of linearized stresses in an infinite pipe computed using the finite element method
subtitle: Fino benchmark problem series
docnumber: SP-FI-18-BM-B2BD
author: Jeremy Theler
authoremail: jeremy@seamplex.com
keywords: ASME, stress linearization, infinite pipe, finite elements
abstract: |
 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. 
fontsize: 11pt
lang: en-US
bibliography: references.bib
biblatexoptions: sorting=none
link-citations: true
colorlinks: true
linkReferences: true
nameInLink: true
mathspec: true
toc: true
formats: html tex pdf
listings: true
logo1ver: logo-seamplex
logo1ver_width: 40mm
logo2ver: fino
logo2ver_width: 35mm
template: full
...