Interaction of Screw Dislocation with Edge Interfacial Crack on Fine-Grained Piezoelectric Coating/Substrate

Shuaishuai Hu,Jiansheng Liu,Xiufeng Xie,Junlin Li

doi:10.1155/2019/3848240

Shuaishuai Hu, Jiansheng Liu + Show 2 more

Open Access

https://doi.org/10.1155/2019/3848240

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Abstract

The interaction between micro- and macrocracks in a fine-grained piezoelectric coating/substrate under remote antiplane mechanical and in-plane electrical loadings was studied. The principle of superposition and a mapping function method was used to transform the fine-grained coating/substrate structure containing the screw dislocation and the edge interfacial crack into the right semi-infinite plane piezoelectric bimaterial with screw dislocation to simplify the problem. Furthermore, the electric field, displacement field, intensity factors, and image force of these two problems were established. In addition, numerical calculations were then given graphically to study the effects of the elastic modulus of the material, the size of the crack, the thickness of the coating, and the screw dislocation angle on the edge interface crack and dislocation.

Highlights

Piezoelectric materials have been widely applied to modern devices, such as sensors, actuators, and transducers, due to their intrinsic electromechanical coupling ability
Wang and Xu [8] analytically discovered the contribution of surface piezoelectricity to the interaction between a piezoelectric screw dislocation and a finite crack in a hexagonal piezoelectric solid
In the work described in this paper, the fine-grained piezoelectric coating/substrate mechanical model was established, in which the interaction between the screw dislocation and the edge interfacial crack was presented. e superposition principle and the mapping function method were utilized to transform the coating/substrate structure into the right semi-infinite plane piezoelectric bimaterial structure, and the analytical expressions of the image force and intensity factor for the mechanical model were obtained

Summary

Introduction

Piezoelectric materials have been widely applied to modern devices, such as sensors, actuators, and transducers, due to their intrinsic electromechanical coupling ability. Fine-grained piezoelectric materials have been used for cutting and grinding, and some highfrequency transducers, microbrakes, and thin buzzers have been fabricated in which the advantages of fine-grained piezoelectric materials have been proved In these works, the effects of grain size on the phase structure, density, and the dielectric and piezoelectric properties were investigated [15,16,17]. In the work described in this paper, the fine-grained piezoelectric coating/substrate mechanical model was established, in which the interaction between the screw dislocation and the edge interfacial crack was presented. E superposition principle and the mapping function method were utilized to transform the coating/substrate structure into the right semi-infinite plane piezoelectric bimaterial structure, and the analytical expressions of the image force and intensity factor for the mechanical model were obtained. The influence of various material parameters on image force and intensity factor was analyzed by numerical calculation

Problem Formulation

Solution to the Problem

Image Force and Intensity Factor