Effect of periodic lamellar inclusions on interface integrity

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Chao Tang , Fei Su , Wen Zhao , Jingyu Zhang , Biao Wang , Lifeng Ma
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引用次数: 0

Abstract

The bond strength between dissimilar solids is highly sensitive to defects near or within the interface. Interfacial inclusions, which are ubiquitous in materials engineering, play a critical role in determining the local and global integrity of materials or structures. In this article, we propose a theoretical model for periodic rectangular lamellar inclusions at the interface of dissimilar solids. In view of the concept of line inclusion, the Kolosov–Muskhelishvili complex potentials for the homogeneous periodic inclusion problem are derived based on the Green’s function method within the framework of plane elasticity. The explicit analytical solution of the stress field of the inhomogeneous periodic rectangular lamellar inclusion problem with arbitrary eigenstrain distribution is derived with the aid of the equivalent eigenstrain principle. A new stress concentration factor (SCF) is consequently defined to assess the interface strength. The influence of the size and material of rectangular lamellar inclusions on the SCF is analyzed. The accuracy of the theoretical results is further verified by finite element simulations. The analytical formulae established in this study offer a straightforward yet effective approach for various inhomogeneous and homogeneous interfacial inclusion problems encountered in engineering practice.
周期性层状夹杂物对界面完整性的影响
不同固体之间的结合强度对界面附近或界面内的缺陷高度敏感。界面夹杂物在材料工程中无处不在,在决定材料或结构的局部和整体完整性方面起着至关重要的作用。本文提出了不同固体界面上周期性矩形片层夹杂物的理论模型。考虑到线包含的概念,在平面弹性的框架下,基于格林函数方法,导出了齐次周期包含问题的Kolosov-Muskhelishvili复势。利用等效本征应变原理,导出了具有任意本征应变分布的非均匀周期性矩形片层夹杂问题应力场的显式解析解。因此,定义了一个新的应力集中系数(SCF)来评估界面强度。分析了矩形层状夹杂物的尺寸和材料对SCF的影响。通过有限元仿真进一步验证了理论结果的准确性。本研究建立的解析公式为工程实践中遇到的各种非均匀和均匀界面夹杂问题提供了一个简单而有效的方法。
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
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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