Path-independent integral in fracture mechanics of quasicrystals

J. Sladek, V. Sladek, S. N. Atluri

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22 Scopus citations


Path-independent integrals are successfully utilized for accurate evaluation of fracture parameters in crystalic materials, where atomic arrangement is periodic. In quasicrystals (QC) the atomic arrangement is quasiperiodic in one-, two- or three-directions. The 2-d elastic problem for quasicrystal is described by coupled governing equations for phonon and phason displacements. Conservation laws for quasicrystals are utilized to derive path-independent integrals for cracks. The relation between the energy release and stress intensity factor for a crack under the mode I is given for decagonal QCs. The path-independent integral formulation is valid also for cracks in QCs with continuously varying material properties.

Original languageEnglish
Pages (from-to)61-71
Number of pages11
JournalEngineering Fracture Mechanics
StatePublished - May 1 2015


  • Bak's model
  • Decagonal quasicrystals
  • Elastodynamics
  • Energy balance
  • Intensity factors
  • Path-independent integral
  • Phason
  • Phonon


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