挠性电材料中的反平面 Yoffe 型裂纹

IF 4.7 2区 工程技术 Q1 MECHANICS Engineering Fracture Mechanics Pub Date : 2024-10-15 DOI:10.1016/j.engfracmech.2024.110551
Ch. Knisovitis , A.E. Giannakopoulos , Ares J. Rosakis
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引用次数: 0

摘要

这项工作研究了在稳态条件下动态生长的有限反平面剪切(模式 III)裂纹周围的变形和极化场。该有限裂纹的前端使材料断裂,而后端则使材料愈合。这种快速移动的有限裂缝(在地球物理学文献中被称为断裂 "脉冲")以恒定的速度传播,其机械场和电场对于与裂缝尖端一起移动的观察者来说保持不变。根据弗罗因德的分类,这个问题属于第一类稳态裂纹生长问题。Yoffe 首先提出并解决了 "原型 "问题,即在拉伸载荷作用下发生断裂的各向同性体,Freund 和 Rice 也对有限裂纹(或剪切脉冲)进行了分析。在上述情况下,材料被假定为线性弹性材料。我们的分析将这些研究扩展到了挠电材料,既有理论分析,也有数值分析。它讨论了裂纹尖端位移和极化场的渐近结构;计算了动能释放率,并提出了它们与裂纹尖端速度的关系。与现有的经典弹性动力学解法和静态解法进行了比较。此外,还分析了材料的电特性对强化的影响。挠性电材料的动态断裂与震源力学研究和微电子器件可靠性分析都有关系。这是因为岩石和陶瓷都是挠电材料。事实上,在地震破裂过程中,在动态、平面内剪切(模式 II)和平面外剪切(模式 III)作用下,裂缝沿着断层传播,并同时表现出机械和电极化特征。在完全不同的长度尺度上,挠性电陶瓷目前被用作传感器和换能器,在受到动态负载(如冲击)时,会沿界面发生动态剪切破坏。动态断裂失效会对其机械可靠性和电气功能造成损害。
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Anti-plane Yoffe-type crack in flexoelectric material
This work investigates the deformation and polarization fields around a finite anti-plane shear (mode III) crack growing dynamically under steady-state conditions. The leading tip of this finite crack breaks the material while the trailing tip heals it. This fast moving finite crack (referred to as a rupture “pulse” in the geophysics literature) propagates with a constant velocity and with the mechanical and the electrical fields that remain invariant with respect to an observer moving with the crack-tips. This problem belongs to the first type of steady state crack growth problems according to the classification of Freund. The “prototype” problem which refers to an isotropic, body subjected to fracture under tensile loading was first proposed and solved by Yoffe, while finite cracks (or shear pulses) were also analyzed by Freund and by Rice. In the above cases the material was assumed to be linear elastic. Our analysis extends these studies to flexoelectric materials, and it is both theoretical and numerical. It discusses the asymptotic structure of the crack-tip displacement and the polarization fields; it calculates the dynamic energy release rate and presents their dependence on crack-tip velocity. Comparisons are made to the available, classical, elasto-dynamic solutions and to the static case. The influence of the electrical properties of the material on strengthening is also analyzed. Dynamic fracture of flexoelectric materials is of relevance to both the study of earthquake source mechanics and to the analysis of the reliability of micro-electronic devices. This is because both rocks and ceramics are flexoelectric. Indeed, during earthquake rupture processes, dynamic, in-plane shear (Mode-II) and out of plane shear (Mode-III), cracks propagate along faults and exhibit both mechanical and electrical polarization signatures. At an entirely different length scale, flexoelectric ceramics are currently used as sensors and transducers and can experience dynamic shear failure along interfaces when subjected to dynamic loading (e.g. impact.). Failure by dynamic fracture can be detrimental to both their mechanical reliability and electrical functionality.
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来源期刊
CiteScore
8.70
自引率
13.00%
发文量
606
审稿时长
74 days
期刊介绍: EFM covers a broad range of topics in fracture mechanics to be of interest and use to both researchers and practitioners. Contributions are welcome which address the fracture behavior of conventional engineering material systems as well as newly emerging material systems. Contributions on developments in the areas of mechanics and materials science strongly related to fracture mechanics are also welcome. Papers on fatigue are welcome if they treat the fatigue process using the methods of fracture mechanics.
期刊最新文献
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