{"title":"Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials","authors":"Ritika Singh","doi":"10.1016/j.apm.2025.116041","DOIUrl":null,"url":null,"abstract":"<div><div>An effective approach for the dynamic investigation of multiple interfacial cracks that emanate from circular holes in two bonded semi-infinite functionally graded piezoelectric materials (FGPM) has been devised. The interfacial cracks are considered to be permeable and are under the influence of steady-state SH waves. The boundary conditions are solved by utilizing the Green's function approach. The mechanical model of the interfacial cracks is constructed with the help of crack-conjunction and crack-deviation approaches that yield a series of first-kind Fredholm integral equations. Direct numerical integration of the series of equations aids in obtaining the analytical form of dynamic stress intensity factors (DSIFs) at the left and right crack tips. Furthermore, the findings of this article are also corroborated. The remarkable feature of this study is the visual presentation of the consequence of functionally graded parameter ratio, distance between cracks, interfacial cracks' length ratio, incident angle, and wave number on DSIFs.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116041"},"PeriodicalIF":4.4000,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25001167","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
An effective approach for the dynamic investigation of multiple interfacial cracks that emanate from circular holes in two bonded semi-infinite functionally graded piezoelectric materials (FGPM) has been devised. The interfacial cracks are considered to be permeable and are under the influence of steady-state SH waves. The boundary conditions are solved by utilizing the Green's function approach. The mechanical model of the interfacial cracks is constructed with the help of crack-conjunction and crack-deviation approaches that yield a series of first-kind Fredholm integral equations. Direct numerical integration of the series of equations aids in obtaining the analytical form of dynamic stress intensity factors (DSIFs) at the left and right crack tips. Furthermore, the findings of this article are also corroborated. The remarkable feature of this study is the visual presentation of the consequence of functionally graded parameter ratio, distance between cracks, interfacial cracks' length ratio, incident angle, and wave number on DSIFs.
期刊介绍：
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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