An analytical approach for an adhesive layer in a graded elastic wedge

Efstathios E. Theotokoglou, Ioannis H. Stampouloglou, Glaucio Paulino

Research output: Contribution to journalArticle

Abstract

In this paper the influence of an adhesive layer in a graded elastic wedge consisted of two subwedges radially bonded, is investigated by means of linear elasticity. The adhesive layer in the analytical solution is simulated either by an interface or by an infinitesimal subwedge of very small wedge-angle. The graded character of the wedges is given either by a linearly varying or by an exponentially varying shear modulus. The inhomogeneous anisotropic self-similar bi-wedge and tri-wedge, loaded by a concentrated force at their apex, are studied analytically under plane strain or generalized plane stress conditions, using the self-similarity property. Based on the separation of loading in each subwedge and on the continuity of displacements at the interface, an analytic solution is deduced for the stress and displacements fields. Applications have been made in the case of a graded bi-wedge and a composite tri-wedge, in which for specific values of gradation, the stress and displacements fields are determined.

Original languageEnglish (US)
Pages (from-to)393-405
Number of pages13
JournalMechanics of Advanced Materials and Structures
Volume17
Issue number6
DOIs
StatePublished - Aug 1 2010

Keywords

  • adhesive layer
  • angularly inhomogeneous wedge
  • functionally graded materials
  • multi-material junction
  • plane elasticity problem
  • self-similarity property

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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