Non-linear least-squares solution to the moiré hole method problem in orthotropic materials. Part II: Material elastic constants

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

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17 Scopus citations

Abstract

This is the second of two papers dealing with inverse problems arising from the hole method problem in orthotropic materials. Two inverse problems are of interest in this second paper: one relates to the use of the hole method as a means of separation of stresses; the other deals with using it for orthotropic material elastic constant identification. The problem of separation of stresses is posed and briefly discussed, but the orthotropic material identification problem is addressed, fully showing how to obtain the five orthotropic elastic constants, four of which are independent, when knowing the applied stresses and examining the isothetics or moiré fringes around a through hole in a biaxially loaded thin wood plate.

Original languageEnglish
Pages (from-to)314-324
Number of pages11
JournalExperimental Mechanics
Volume45
Issue number4
DOIs
StatePublished - Aug 2005

Keywords

  • Elastic constants
  • Inverse problem
  • Least-squares
  • Moiré
  • Orthotropic

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