Non-linear least-squares solution to the moiré hole method problem in orthotropic materials. Part I: Residual stresses

J. F. Cárdenas-García, S. Ekwaro-Osire, J. M. Berg, W. H. Wilson

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The hole method problem relates to two inverse problems of interest: the first, most commonly addressed by practitioners, is to obtain residual stresses; the other, generally neglected, inverse problem can be posed as either a stress separation problem or a material elastic properties identification problem. In both this Paper I and Paper II, we pose and solve this dual hole method problem in an orthotropic plate, using computer generated moiré isothetics, by means of a non-linear least-squares approach. In Paper I we address the residual stress problem. In Paper II we pose the use of moiré isothetics as a means to achieve separation of stresses, but we deal with the determination of the five orthotropic elastic constants, four of which are independent.

Original languageEnglish
Pages (from-to)301-313
Number of pages13
JournalExperimental Mechanics
Volume45
Issue number4
DOIs
StatePublished - Aug 2005

Keywords

  • Inverse problem
  • Least-squares
  • Moiré
  • Orthotropic
  • Residual stresses

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