The Fracture Analysis of Collinear Periodic Cracks in an Infinite Piezoelectric Plate

4th Annual International Workshop on Materials Science and Engineering

Zhao, Wenbin^1 ; Zhang, Xuexia^1 ; Xie, Hailing^1 ; Zhao, Zhiyao^1 ; Guo, Yutong^1

School of Applied Science, Taiyuan University of Science and Technology, Taiyuan

030024, China^1

关键词: Anti-plane shear stress;    Electric displacement fields;    Electric displacement intensity factors;    Electric potential fields;    Interference effects;    Mechanical strain energy release rate;    Transversely isotropic piezoelectric plates;    Undetermined coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/381/1/012029/pdf
DOI  :  10.1088/1757-899X/381/1/012029

来源: IOP

【 摘 要 】

The fracture problem of collinear periodic cracks in an infinite transversely isotropic piezoelectric plate subjected to the anti-plane shear stress and the in-plane electric load at infinity is studied. Using the complex function method, the mechanical problem is turned into the boundary value problem of partial differential equations. The solutions of the boundary value problem of partial differential equation are obtained by undetermined coefficients method. Then, considering the periodicity of cracks, the stress intensity factors and the electric displacement intensity factors for mode III near the right tip of every crack are defined, the expressions of the stress fields, electric displacement fields, displacement fields, electric potential fields and the mechanical strain energy release rate around the crack tip are obtained with the assumption that the surface of the crack is electrically impermeable. Finally, interference effect and scale effect of collinear periodic cracks and the mechanical strain energy release rate are discussed by analysis of examples. It can be seen interference effect of collinear periodic cracks is strong when 1