Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials

IF 1.7 4区 工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Ni An, Yu Chen, Jing Zhang, Tian-shu Song
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引用次数: 0

Abstract

In this article, the dynamic fracture behavior of hole-initiated cracks in functionally graded magneto-electro-elastic (FGMEE) bi-materials with exponential variation is studied by Green’s function method, and SH-wave is considered as an external load acting on the bi-materials. The mechanical model of the cracks is constructed through interface-conjunction and crack-deviation techniques, thereby simplifying the crack problem to solving a series of the first kind of Fredholm’s integral equations, from which the dynamic stress intensity factor (DSIF) at the crack tips is expressed. Numerical results clarified the factors that affect the DSIF, including wave number, incident angle, the geometry of the defect, and the gradient of the bi-materials. The accuracy of the present methods is examined by comparing the obtained results with the reference solutions. Compared with previous traditional numerical and analytical methods, the methods proposed in this paper are relatively more effective and applicable, and provide a new perspective for studying the fracture problems of FGMEE materials with more complex defects in practical engineering.
功能梯度磁-电弹性双材料孔口裂纹的动态断裂行为
本文采用格林函数方法,研究了具有指数变化的功能梯度磁电弹性(FGMEE)双材料中孔洞裂纹的动态断裂行为,并将sh波视为作用在双材料上的外载荷。通过界面连接技术和裂纹-偏差技术建立了裂纹的力学模型,将裂纹问题简化为求解一系列第一类Fredholm积分方程,并以此来表示裂纹尖端处的动应力强度因子(DSIF)。数值结果明确了影响DSIF的因素,包括波数、入射角、缺陷的几何形状和双材料的梯度。通过将所得结果与参考解进行比较,验证了本文方法的准确性。与以往传统的数值和解析方法相比,本文提出的方法相对更有效和适用,为实际工程中研究更复杂缺陷的FGMEE材料断裂问题提供了新的视角。
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
Mathematics and Mechanics of Solids
Mathematics and Mechanics of Solids 工程技术-材料科学:综合
CiteScore
4.80
自引率
19.20%
发文量
159
审稿时长
1 months
期刊介绍: Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science. The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).
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