Completeness of root functions for elasticity problems in a strip

I. Titeux*, Y. Yakubov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In order to improve the expansion of stresses close to the edge for a thin plate, a corrective term is added to the displacement. This corrective displacement must solve a problem posed over an infinite domain. In order to get the behavior of this term far from the edge, we write it as a combination of root functions of the problem. To do this, we have to prove that a system of root functions is complete. It follows from this study that the corrective term decreases exponentially.

Original languageEnglish
Pages (from-to)761-786
Number of pages26
JournalMathematical Models and Methods in Applied Sciences
Issue number5
StatePublished - Aug 1998


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