{"title":"Study on the interface effect in a coated transversely isotropic material based on the three-dimensional green’s function for a normal point force","authors":"Peng-Fei Hou, Hai-Yang Jiang","doi":"10.1007/s00707-025-04240-w","DOIUrl":null,"url":null,"abstract":"<div><p>This study presents a comprehensive analysis of layered materials, focusing on the behavior of coated transversely isotropic materials under normal point forces. With the growing application of such materials in engineering, this work addresses key challenges in their design and analysis. Due to the thin coating layers and steep stress gradients, achieving accurate calculations—particularly at the interface—using commercial software remains difficult. To overcome this, we propose an exact solution for the three-dimensional elastic field of coated structures subjected to a normal point force, based on the general solution for transversely isotropic materials. The derived solution, expressed through elementary functions, exhibits excellent convergence, accuracy, and stability. Numerical results are illustrated as stress component contours, offering valuable insights into interface effects and potential tensile and shear delamination. These findings contribute significantly to the precise design and analysis of coated materials, advancing their application in high-performance engineering systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2765 - 2787"},"PeriodicalIF":2.3000,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-025-04240-w","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
This study presents a comprehensive analysis of layered materials, focusing on the behavior of coated transversely isotropic materials under normal point forces. With the growing application of such materials in engineering, this work addresses key challenges in their design and analysis. Due to the thin coating layers and steep stress gradients, achieving accurate calculations—particularly at the interface—using commercial software remains difficult. To overcome this, we propose an exact solution for the three-dimensional elastic field of coated structures subjected to a normal point force, based on the general solution for transversely isotropic materials. The derived solution, expressed through elementary functions, exhibits excellent convergence, accuracy, and stability. Numerical results are illustrated as stress component contours, offering valuable insights into interface effects and potential tensile and shear delamination. These findings contribute significantly to the precise design and analysis of coated materials, advancing their application in high-performance engineering systems.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.