Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-28 DOI:10.1177/10812865241264006

Yuanyuan Gao, Guanting Liu, Zhenping Sun, Yuxin Zhang

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Abstract

In this study, a new generalized conformal mapping is introduced using the generalized complex variable method, focusing on the investigation of the anti-plane problem of an elliptical hole with four cracks in one-dimensional (1D) orthogonal piezoelectric quasicrystals. Under the consideration of electrically impermeable and electrically permeable boundary conditions, the governing equations of the anti-plane problem in 1D orthogonal piezoelectric quasicrystals are successfully simplified into an eighth-order partial differential equation and a fourth-order partial differential equation by introducing a potential function. Based on this, analytical solutions for the stress field and electric field are obtained, and the exact solution for the stress intensity factor (SIF) is derived. In addition, formulas for the electric displacement intensity factor (EDIF) and energy release rate are provided. Subsequently, the influence of geometric parameters and external loads on the field intensity factors and energy release rate is analyzed through numerical examples, providing a theoretical basis for engineering mechanics analysis.

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具有压电效应的一维正方体准晶体中由椭圆孔发出的四条裂缝的模式-III断裂

本研究利用广义复变法引入了一种新的广义共形映射，重点研究了一维（1D）正交压电准晶体中带有四条裂缝的椭圆孔的反平面问题。在考虑不透电和透电边界条件的前提下，通过引入势函数，成功地将一维正交压电准晶体反平面问题的控制方程简化为八阶偏微分方程和四阶偏微分方程。在此基础上，得到了应力场和电场的解析解，并推导出了应力强度因子 (SIF) 的精确解。此外，还提供了电位移强度因子（EDIF）和能量释放率的公式。随后，通过数值实例分析了几何参数和外部载荷对场强因子和能量释放率的影响，为工程力学分析提供了理论依据。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.