On the mechanical interplay between Timoshenko and semirigid inclusions embedded in elastic bodies

A. M. Khludnev, T. S. Popova

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

In the paper, an equilibrium problem for elastic bodies with a thin elastic Timoshenko inclusion and a thin semirigid inclusion is analyzed. The inclusions are assumed to be delaminated from elastic bodies, thus forming a crack between the inclusions and the elastic matrix. Nonlinear boundary conditions are imposed at the crack faces to prevent a mutual penetration between the crack faces. The inclusions have a joint point. A passage to a limit is investigated as a rigidity parameter of the elastic inclusion goes to infinity. The limit model is investigated. Junction boundary conditions are found at the joint point for the problem analyzed as well as for the limit problem.

Original languageEnglish
Pages (from-to)1406-1417
Number of pages12
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume97
Issue number11
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • crack
  • elastic body
  • junction conditions
  • nonlinear boundary conditions
  • semirigid inclusion
  • Timoshenko inclusion
  • blunt nano crack
  • time-harmonic plane wave
  • SURFACE/INTERFACE
  • CIRCULAR NANO-INHOMOGENEITIES
  • ELECTROELASTIC WAVES
  • NANOINHOMOGENEITIES
  • ELASTIC MATRIX
  • SURFACE STRESS
  • BIEM
  • BOUNDARY-ELEMENT ANALYSIS
  • SCF
  • SOLIDS
  • Piezoelectricity
  • 3-DIMENSIONAL NANOSCALE INHOMOGENEITIES
  • ANTIPLANE SHEAR-WAVES

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