An analytical method for predicting the dynamic effective properties of coated nanocomposites subjected to P- and SV-waves

IF 2.9 3区 工程技术 Q2 MECHANICS
Junhua Xiao, Qiang Guo
{"title":"An analytical method for predicting the dynamic effective properties of coated nanocomposites subjected to P- and SV-waves","authors":"Junhua Xiao,&nbsp;Qiang Guo","doi":"10.1007/s00707-025-04347-0","DOIUrl":null,"url":null,"abstract":"<div><p>The propagation characteristic of elastic waves in composite materials is a key problem that affects the dynamic properties of material structures. When the elastic wave propagates in the structure, the elastic wave scattering phenomenon will occur due to the sudden change of material properties and geometric discontinuity. The elastic dynamic constant plays an important role in the ultrasonic nondestructive evaluation of structural composites. Compared with traditional composites, nanocomposites have higher interfacial volume ratio and interfacial energy, which makes the propagation and dynamic mechanical behavior of elastic waves in nanocomposites more complicated. Based on the Gurtin–Murdoch surface/interface elasticity theory, elastic wave theory and generalized self-consistent method, a dynamic micromechanical model was established to study the in-plane dynamic modulus of nanocoated fiber composites, and the scattering problem of steady-state incident P-wave and SV-wave on nanoscale-coated fiber composites was studied. The in-plane dynamic effective properties of nanocoated fiber composites subjected to plane waves (P-wave and SV-wave) were investigated theoretically. The non-classical boundary conditions of displacement and stress at the interface between fiber, coating and substrate are derived by considering the theory of surface/interface elasticity. According to the wave equation, the displacement potential of P-wave and SV-wave in the material is given, and then, the displacement and stress expressions are obtained. The phase velocity, attenuation, in-plane effective bulk modulus and effective shear modulus of P-wave and SV-wave are obtained by non-classical boundary conditions and iterative process of multiple scattering methods. The phase velocity and attenuation of wave propagation of nanocoated fiber composites and the dynamic effective properties of nanocoated fiber composites with interface properties and coating parameters were analyzed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4727 - 4747"},"PeriodicalIF":2.9000,"publicationDate":"2025-06-19","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/s00707-025-04347-0","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

The propagation characteristic of elastic waves in composite materials is a key problem that affects the dynamic properties of material structures. When the elastic wave propagates in the structure, the elastic wave scattering phenomenon will occur due to the sudden change of material properties and geometric discontinuity. The elastic dynamic constant plays an important role in the ultrasonic nondestructive evaluation of structural composites. Compared with traditional composites, nanocomposites have higher interfacial volume ratio and interfacial energy, which makes the propagation and dynamic mechanical behavior of elastic waves in nanocomposites more complicated. Based on the Gurtin–Murdoch surface/interface elasticity theory, elastic wave theory and generalized self-consistent method, a dynamic micromechanical model was established to study the in-plane dynamic modulus of nanocoated fiber composites, and the scattering problem of steady-state incident P-wave and SV-wave on nanoscale-coated fiber composites was studied. The in-plane dynamic effective properties of nanocoated fiber composites subjected to plane waves (P-wave and SV-wave) were investigated theoretically. The non-classical boundary conditions of displacement and stress at the interface between fiber, coating and substrate are derived by considering the theory of surface/interface elasticity. According to the wave equation, the displacement potential of P-wave and SV-wave in the material is given, and then, the displacement and stress expressions are obtained. The phase velocity, attenuation, in-plane effective bulk modulus and effective shear modulus of P-wave and SV-wave are obtained by non-classical boundary conditions and iterative process of multiple scattering methods. The phase velocity and attenuation of wave propagation of nanocoated fiber composites and the dynamic effective properties of nanocoated fiber composites with interface properties and coating parameters were analyzed.

Abstract Image

一种预测P波和sv波作用下涂层纳米复合材料动态有效性能的分析方法
弹性波在复合材料中的传播特性是影响材料结构动力性能的关键问题。弹性波在结构中传播时,由于材料性质的突然变化和几何不连续,会产生弹性波散射现象。弹性动力常数在结构复合材料超声无损评价中起着重要的作用。与传统复合材料相比,纳米复合材料具有更高的界面体积比和界面能,这使得弹性波在纳米复合材料中的传播和动态力学行为更加复杂。基于Gurtin-Murdoch表面/界面弹性理论、弹性波理论和广义自洽方法,建立了纳米包覆纤维复合材料的动态微观力学模型,研究了纳米包覆纤维复合材料的面内动态模量,研究了稳态入射p波和sv波在纳米包覆纤维复合材料上的散射问题。从理论上研究了平面波(p波和sv波)作用下纳米涂层纤维复合材料的面内动态有效性能。利用表面/界面弹性理论,导出了纤维、涂层和基体界面处的位移和应力的非经典边界条件。根据波动方程,给出了材料中纵波和sv波的位移势,进而得到了材料的位移和应力表达式。利用非经典边界条件和多重散射方法的迭代过程,得到了纵波和sv波的相速度、衰减、面内有效体积模量和有效剪切模量。分析了纳米包覆纤维复合材料的相速度、波传播衰减以及界面性能和包覆参数对纳米包覆纤维复合材料动态有效性能的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信