Study On The Parallel Line Cracks In The Piezoelectric Materials In The Whole Plane

With the development of science and technology and people’s practical needs,a large number of new materials constantly emerging,material science gradually become more intelligent and more functional.Among them,the piezoelectric materials is widely used in the production of various high-tech engineering components because of its unique electro-mechanical coupling properties,and becomes an indispensable material in the popular fields of military,medical,aerospace,chemical and information technology.However,the piezoelectric material is brittle,in the actual production process of manufacture or use,will inevitably produce defects,thus the fracture mechanics analysis of the piezoelectric medium with the defects has become the focus of the scholars.The main work of this paper is to solve the problem that the parallel line cracks in the whole plane of the piezoelectric material,and the corresponding fracture mechanics analysis is given by solving the crack model.The specific content is:Firstly,the knowledge of fracture mechanics of piezoelectric materials is introduced according to the related literatures.Based on the previous research results,the mechanical model and the corresponding mathematical models are established,and the appropriate boundary conditions are put forward,and then introducing potential functions are used to classify the original piezoelectric equations into a simple partial differential equation group.Then the partial differential equations are transformed into the ordinary differential equations by using the mathematical tools such as operator action and Fourier transform,and finally to the original space for the original inversion solution.At the end of this paper,using computer numerical simulation draw the stress distribution around the parallel crack tips,and the results are expressed concisely and intuitively.The change trend of image is analyzed by changing some control variables such as crack spacing and length.And summarizes the conclusion,make theoretical bedding for the corresponding research,blunt crack,parallel group crack and other directions.