Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, China;
Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, China;
Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, China;
crack; non-localtheory; piezoelectric materials; Fourier integral transform; Schmidt method;