A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring

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Abstract

The inverse finite element method (iFEM) is a powerful tool for shape sensing and structural health monitoring and has several advantages with respect to some other existing approaches. In this study, a two-dimensional four-node quadrilateral inverse finite element formulation is presented. The element is suitable for thin structures under in-plane loading conditions. To validate the accuracy and demonstrate the capability of the inverse element, four different numerical cases are considered for different loading and boundary conditions. iFEM analysis results are compared with regular finite element analysis results as the reference solution, and very good agreement is observed between the two solutions demonstrating the capability of iFEM approach.
Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalMathematics and Mechanics of Solids
Early online date6 Feb 2024
DOIs
Publication statusE-pub ahead of print - 6 Feb 2024

Keywords

  • iFEM
  • shape sensing
  • structural health monitoring
  • quadrilateral
  • two-dimensional

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