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Indexed by:Journal Papers

Date of Publication:2020-06-01

Journal:THEORETICAL AND APPLIED FRACTURE MECHANICS

Included Journals:EI、SCIE

Volume:107

ISSN No.:0167-8442

Key Words:Piezoelectric quasicrystal; Electrically impermeable/permeable crack; Isogeometric analysis; Symplectic method; Intensity factors/coefficients

Abstract:A novel Hamiltonian-based isogeometric analysis is proposed for mode III fracture analysis of piezoelectric quasicrystals (PQCs) with complicated configurations. Two idealized electrical assumptions, namely electrically permeable and impermeable cracks, are considered. The proposed method has two major steps. Firstly, the formulation of isogeometric analysis (IGA) for PQCs is developed and adopted to discretize the overall cracked body. Secondly, analytical solutions near the crack tip are expanded in terms of symplectic eigensolutions in order to change the unknowns of IGA within this region into a set of undetermined coefficients of symplectic series. Therefore, explicit expressions of phonon, phason and electric fields around the crack tip and intensity factors/coefficients are obtained. In numerical examples, several cracked PQCs including a four-leaf-clover-shaped multi-material piezoelectric quasicrystal junction are provided to show the accuracy and effectiveness of the proposed method.