Deformable stiffener welded to an elastic plate

Robin J Knops*, Piero Villaggio

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


An approximate solution to the nonlinear problem of an elastic stiffener welded to an elastic plate is obtained in the form of a finite sum of Chebyshev polynomials. To an exact first-order approximation, the deformed length of the stiffener is proved to be greater than its un-deformed length. Other conclusions show that the longitudinal force decreases when elongation of the stiffener is included, whereas the concentration coefficient, defined in terms of the singular behavior of the interactive force between the stiffener and the plate that occurs at either end, decreases when the elongation is sufficiently large. (C) 2014 American Society of Civil Engineers.

Original languageEnglish
Article number04014078
Number of pages4
JournalJournal of Engineering Mechanics
Issue number10
Publication statusPublished - Oct 2014


  • Elastic contact
  • Large strains
  • Integral equations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials


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