Electroelastic analysis of four mode-III cracks originating from a circular hole in piezoelectric materials
The fracture behavior of four non-symmetric radial cracks originating from a circular hole in piezoelectric materials subjected to remotely uniform in-plane electric loading and anti-plane mechanical loading is studied in this paper.The problem is transformed using the complex variable method and the technique of conformal mapping into Cauchy integral equations.To solve the Cauchy integral equations,the analytical solutions of the stress and the electric displacement intensity factors,energy release rate and mechanical strain energy release rate are obtained under the electrically impermeable and electrically permeable assumptions,respectively.Several known results are the special cases of the present results and new models used for simulating more practical defects in piezoelectric materials are derived as well,such as three radial cracks originating from a circular hole,semi-circular hole with an edge crack originating from a semi-infinite plane and a semi-infinite plane with an edge crack.Numerical examples are provided graphically to show the effects of the geometrical parameters on the energy release rate and the mechanical strain energy release rate.
Piezoelectric materials Circular hole Edge cracks mapping function Analytical solution
JunHong Guo ZiXing Lu Jing Yu
College of Science,Inner Mongolia University of Technology,Hohhot 010051,China Institute of Solid mechanics,Beihang University,Beijing 100191,China
国际会议
北京
英文
1-10
2013-06-16（万方平台首次上网日期，不代表论文的发表时间）