The influence of interpolation errors on finite-element calculations involving stress-curvature proportionalities

Albert Eliot Segall, M. J. Sipics

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

The presence of non-linear axial gradients of pressure/temperature in a finite-element model can invoke an often overlooked proportionality between the resulting curvature and bending stresses. Because these stresses can be significant, the use of polynomials and cubic-splines to interpolate any gradients to a finite-element mesh must be carefully weighed against their tendency to undulate through the data. As shown for a test case involving an interpolated pressure-distribution with artificially induced errors, the resulting polynomial oscillation can indeed induce significant variations of both sign and magnitude in the finite-element calculations. In contrast, a constrained B-spline with smoothing provided more reasonable stress predictions.

Original languageEnglish (US)
Pages (from-to)1873-1884
Number of pages12
JournalFinite Elements in Analysis and Design
Volume40
Issue number13-14
DOIs
StatePublished - Aug 1 2004

All Science Journal Classification (ASJC) codes

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

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