{"title":"The effect of an auxetic core layer and symmetric FGM face layers on the 3D wave propagation response of sandwich nanoplates","authors":"Mustafa Eroğlu, İsmail Esen, Mehmet Akif Koç","doi":"10.1007/s00419-025-02772-0","DOIUrl":null,"url":null,"abstract":"<div><p>This study explores the thermomechanical 3D wave propagation behavior of a sandwich nanosensor plate with an auxetic core, leveraging nonlocal strain gradient elasticity and sinusoidal higher-order shear deformation theories. The plate comprises functionally graded ceramic (Si<sub>3</sub>N<sub>4</sub>) and metal (Ti<sub>6</sub>Al<sub>4</sub>V) face layers, with an auxetic Ti<sub>6</sub>Al<sub>4</sub>V core having a negative Poisson's ratio. Governing equations are derived using Hamilton's principle, leading to the Navier solution for 3D wave propagation. The results indicate that increasing the <i>β₁</i> parameter enhances phase velocities and wave frequencies, while smaller <i>β₃</i> values significantly impact stiffness and frequency. These findings provide a framework for optimizing the design of nanosensors, ensuring improved performance and reliability in high-temperature applications across various industries.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 3","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02772-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-025-02772-0","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 explores the thermomechanical 3D wave propagation behavior of a sandwich nanosensor plate with an auxetic core, leveraging nonlocal strain gradient elasticity and sinusoidal higher-order shear deformation theories. The plate comprises functionally graded ceramic (Si3N4) and metal (Ti6Al4V) face layers, with an auxetic Ti6Al4V core having a negative Poisson's ratio. Governing equations are derived using Hamilton's principle, leading to the Navier solution for 3D wave propagation. The results indicate that increasing the β₁ parameter enhances phase velocities and wave frequencies, while smaller β₃ values significantly impact stiffness and frequency. These findings provide a framework for optimizing the design of nanosensors, ensuring improved performance and reliability in high-temperature applications across various industries.
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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