Asymptotic modelling of bonded plates by a soft thin adhesive layer

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In the present paper, a composite structure is considered. The structure is made of three homogeneous plates: two linear elastic adherents and a thin adhesive. It is assumed that elastic properties of the adhesive layer depend on its thickness "as" to the power of 3. Passage to the limit as " goes to zero is justified and a limit model is found in which the influence of the thin adhesive layer is replaced by an interface condition between adherents. As a result, we have analog of the spring type condition in the plate theory. Moreover, a representation formula of the solution in the adhesive layer has been obtained.

Original languageEnglish
Pages (from-to)615-625
Number of pages11
JournalСибирские электронные математические известия
Publication statusPublished - 2020


  • Biharmonic equation
  • Bonded structure
  • Composite material
  • Kirchhoff-Love's plate
  • Spring type interface condition
  • biharmonic equation
  • bonded structure
  • composite material
  • spring type interface condition



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