Study on the interface effect in a coated transversely isotropic material based on the three-dimensional green’s function for a normal point force

IF 2.3 3区 工程技术 Q2 MECHANICS
Peng-Fei Hou, Hai-Yang Jiang
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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.

基于法向点力三维格林函数的涂覆横向各向同性材料界面效应研究
本研究对层状材料进行了全面的分析,重点研究了涂覆横向各向同性材料在法向点力作用下的行为。随着此类材料在工程中的应用越来越多,这项工作解决了其设计和分析中的关键挑战。由于涂层薄,应力梯度大,使用商业软件实现精确计算仍然很困难,特别是在界面上。为了克服这个问题,我们在横向各向同性材料的通解的基础上,提出了受法向点力作用的涂层结构三维弹性场的精确解。用初等函数表示的导出解具有良好的收敛性、准确性和稳定性。数值结果显示为应力分量轮廓,为界面效应和潜在的拉伸和剪切分层提供了有价值的见解。这些发现有助于涂层材料的精确设计和分析,促进其在高性能工程系统中的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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.
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