应用数学和力学2024，Vol.45Issue(2)：144-154,11.DOI:10.21656/1000-0887.440247
含切口的压电准晶组合结构界面断裂分析的辛-等几何耦合方法
Symplectic Isogeometric Analysis Coupling Method for Interfacial Fracture of Piezoelectric Quasicrystal Composites With Notches
摘要
Abstract
A high-precision semi numerical and semi analytical method for interfacial fracture problem of piezo-electric quasicrystals(PQCs)/piezoelectric crystals(PZCs)/elastic material composites with notches was de-veloped.Firstly,the Hamiltonian system was introduced and the Hamiltonian dual equations for the 3-material composite were formulated.The higher order partial differential governing equations were transformed into a set of ordinary differential equations.Secondly,the symplectic eigenvalues and eigensolutions were obtained through separation of variables.The physical quantities were expressed with the expansion of symplectic series.Finally,a symplectic isogeometric analysis(IGA)coupling equation was derived through combination of the symplectic series and the IGA.The analytical expressions of the physical quantities near the notch tip and the intensity factors were derived.关键词
准晶体/压电材料/等几何分析/Hamilton体系/V形切口/界面断裂Key words
quasicrystal/piezoelectric material/isogeometric analysis/Hamiltonian system/V notch/interfa-cial fracture分类
力学引用本文复制引用
杨震霆,王雅静,聂雪阳,徐新生,周震寰..含切口的压电准晶组合结构界面断裂分析的辛-等几何耦合方法[J].应用数学和力学,2024,45(2):144-154,11.基金项目
辽宁省自然科学基金(2023-MS-118) （2023-MS-118）
