Mathematical modelling for multiple straight cracks in piezoelectric ceramics

IF 0.4 Q4 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Strength Fracture and Complexity Pub Date : 2023-09-14 DOI:10.3233/sfc-230010

Irshad Saifi, Naved Akhtar, Shehzad Hasan

引用次数: 0

Abstract

Piezoelectric materials are widely used in electronic devices like sensors. In this study, a strip saturation zone model is provided for a transversely isotropic piezoelectric plate which is cut along three equal collinear impermeable cracks. The developed saturation zones are assumed to be subjected to the linearly varying electric displacement conditions. The problem is solved using Stroh formalism and the complex variable approach. Analytic closed-form expressions are obtained for fracture parameters including crack opening displacement, crack opening potential, and saturation zone length. A numerical study also presented showing the effect of linearly varying electric displacement on the saturation zone length.

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压电陶瓷多重直裂纹的数学建模

压电材料广泛应用于传感器等电子器件中。本文建立了横观各向同性压电板沿三个等共线不透水裂纹切割的条形饱和区模型。假定饱和发育区受线性变化的电位移条件影响。利用Stroh形式主义和复变量法求解该问题。得到了裂缝张开位移、裂缝张开势、饱和带长度等断裂参数的解析封闭表达式。数值研究还显示了线性变化的电位移对饱和区长度的影响。

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

Strength Fracture and Complexity MATERIALS SCIENCE, CHARACTERIZATION & TESTING-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Strength, Fracture and Complexity: An International Journal is devoted to solve the strength and fracture unifiedly in non linear and systematised manner as complexity system. An attempt is welcome to challenge to get the clue to a new paradigm or to studies by fusing nano, meso microstructural, continuum and large scaling approach. The concept, theoretical and/or experimental, respectively are/is welcome. On the other hand the presentation of the knowledge-based data for the aims is welcome, being useful for the knowledge-based accumulation. Also, deformation and fracture in geophysics and geotechnology may be another one of interesting subjects, for instance, in relation to earthquake science and engineering.