{"title":"A modified permeable model for analyzing two collinear cracks in thermo-electro-elastic materials","authors":"Bing Wu, Tengfei Zhong, Chunsheng Lu","doi":"10.1007/s00419-025-02801-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we propose a modified permeable model to analyze the fracture behavior of two collinear cracks under a thermo-electro-elastic load that is described by a cubic function. By employing this modified model and Fourier transformation, the mixed boundary value problem is firstly reduced to a set of singular integral equations. Then, based on using the Cauchy kernel theory, we derive analytical solutions for these equations, with a focus on key crack-tip physical quantities and intensity factors. Numerical results demonstrate that the crack size, initial unit heat flux adjustment parameters, and initial electric displacement adjustment parameter, accounting for the effects of initial heat flux, electric displacement, and irregular crack surfaces, significantly influence the temperature gradients and intensity factors.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02801-y.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-025-02801-y","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we propose a modified permeable model to analyze the fracture behavior of two collinear cracks under a thermo-electro-elastic load that is described by a cubic function. By employing this modified model and Fourier transformation, the mixed boundary value problem is firstly reduced to a set of singular integral equations. Then, based on using the Cauchy kernel theory, we derive analytical solutions for these equations, with a focus on key crack-tip physical quantities and intensity factors. Numerical results demonstrate that the crack size, initial unit heat flux adjustment parameters, and initial electric displacement adjustment parameter, accounting for the effects of initial heat flux, electric displacement, and irregular crack surfaces, significantly influence the temperature gradients and intensity factors.
期刊介绍：
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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