{"title":"Scattering of SH Guided Waves by a Semicircular Depression and a Linear Crack in a Strip Piezoelectric Medium","authors":"Enxiang Qu, Hui Qi, Jing Guo, Jingyi Xu, Shangqi Yuan","doi":"10.1134/S0025654424605822","DOIUrl":null,"url":null,"abstract":"<p>The scattering problem of the steady-state 0-order SH guided wave with a semicircular dip at the boundary of a zoning piezoelectric field and a linear crack in the inner plate is investigated using the complex variable function method, multiple coordinate method, and Green’s function. The guided wave expansion method is utilized in the construction of the SH guided wave, and the multiple mirror method is utilized to fulfill the requirements of stress freedom and electrical insulation. Under the time harmonic load with a semicircular depression in the zonal piezoelectric field, Green’s function represents the fundamental solution. By using the crack cutting method, it is possible to calculate the dynamic stress concentration factor and dynamic stress intensity factor values of the crack tip when both the crack and semicircle sag engage in joint action. The DSCF of a semicircular concave edge and the DSIF of a linear crack are studied in terms of the influence of various piezoelectric parameters, including wave number, crack length, and band domain thickness. The results indicate that it is important to study low frequency, make reasonable selections for piezoelectric parameters, and consider the length of a linear crack when dealing with the interaction between zonal piezoelectric materials with a semicircular sag and a linear crack.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3639 - 3655"},"PeriodicalIF":0.6000,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424605822","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The scattering problem of the steady-state 0-order SH guided wave with a semicircular dip at the boundary of a zoning piezoelectric field and a linear crack in the inner plate is investigated using the complex variable function method, multiple coordinate method, and Green’s function. The guided wave expansion method is utilized in the construction of the SH guided wave, and the multiple mirror method is utilized to fulfill the requirements of stress freedom and electrical insulation. Under the time harmonic load with a semicircular depression in the zonal piezoelectric field, Green’s function represents the fundamental solution. By using the crack cutting method, it is possible to calculate the dynamic stress concentration factor and dynamic stress intensity factor values of the crack tip when both the crack and semicircle sag engage in joint action. The DSCF of a semicircular concave edge and the DSIF of a linear crack are studied in terms of the influence of various piezoelectric parameters, including wave number, crack length, and band domain thickness. The results indicate that it is important to study low frequency, make reasonable selections for piezoelectric parameters, and consider the length of a linear crack when dealing with the interaction between zonal piezoelectric materials with a semicircular sag and a linear crack.
期刊介绍:
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.