Method for solving fracture problem of functionally graded piezoelectric material with any attribute

Abstract

The invention discloses a method for solving a fracture problem of a functionally graded piezoelectric material with any attribute, and belongs to the technical field of fracture mechanics. Accordingto the method, the problems that the obtained crack parameters are inaccurate and the application of an existing solving method is limited due to the fact that the fact that the functionally graded piezoelectric material has any attribute is not considered in solving of the fracture problem of the existing functionally graded piezoelectric material are solved. According to the method, the functionally graded piezoelectric material is divided into a plurality of layers, and the material attributes of each sub-layer are supposed to be distributed in a special function form, namely, a special piecewise function curve is used for approximating a curve of real material attributes of the functionally graded piezoelectric material. Not only can the influence of non-uniform parameters of materialattributes on a crack tip stress field be reflected, but also the influence of the distribution form of the material attributes on the fracture behavior of the functionally graded piezoelectric material can be fully considered, so that the fracture problem of the functionally graded piezoelectric material with any attribute can be solved. The method can be applied to solving the fracture problem of the functionally graded piezoelectric material.

Description

technical field

[0001] The invention belongs to the technical field of fracture mechanics, and in particular relates to a method for solving the fracture problem of functionally gradient piezoelectric materials with arbitrary properties. Background technique

[0002] So far, piezoelectric materials have played a vital role in emerging technologies, especially in fields such as aerospace, electronics and biology. Because piezoelectric materials have the potential to reduce stress concentration and improve fracture toughness, in order to meet the requirements of piezoelectric materials in terms of life and reliability, functionally graded materials are extended to piezoelectric materials. This kind of material with continuously changing characteristics is called Functionally graded piezoelectric materials. Due to the manufacturing, processing and molding process of functionally graded piezoelectric materials, various cracks and defects occur in them. In recent years, many sc...

Images