Path-independent integral in fracture mechanics of quasicrystals. (May 2015)

• Record Type: Journal Article
• Authors: Sladek, J.; Sladek, V.; Atluri, S.N.
• Is Part Of: Engineering fracture mechanics. Volume 140(2015)
• Page Start: 61
• Page End: 71
• Publication Date: 2015-05
• Subjects: Path-independent integral -- Energy balance -- Elastodynamics -- Bak's model -- Decagonal quasicrystals -- Phonon -- Phason -- Intensity factors; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2015.03.039
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: Coupled governing equations for phonon and phason displacements for quasicrystal. Conservation laws for quasicrystals to derive path-independent integrals for cracks. Path-independent integrals for evaluation of fracture parameters in quasicrystals. The Bak's model for dynamic fracture study. Abstract: 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.