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论文类型：期刊论文

发表时间：2020-06-01

发表刊物：THEORETICAL AND APPLIED FRACTURE MECHANICS

收录刊物：EI、SCIE

卷号：107

ISSN号：0167-8442

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

摘要：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.