### 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 language | English (US) |
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Pages (from-to) | 1873-1884 |

Number of pages | 12 |

Journal | Finite Elements in Analysis and Design |

Volume | 40 |

Issue number | 13-14 |

DOIs | |

State | Published - Aug 1 2004 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

*Finite Elements in Analysis and Design*,

*40*(13-14), 1873-1884. https://doi.org/10.1016/j.finel.2003.11.006