Singularity analysis for V-notches in a piezoelectric multimaterial and functionally graded piezoelectric materials

IF 3.1 2区 材料科学 Q2 ENGINEERING, MECHANICAL Fatigue & Fracture of Engineering Materials & Structures Pub Date : 2024-08-31 DOI:10.1111/ffe.14424
Shanlong Yao, Guibin Dai, Changzheng Cheng, Zhongrong Niu
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Abstract

This study develops a novel singularity analysis method that addresses the limitations posed by piezoelectric material quantity and the variation patterns of property functions in functionally graded piezoelectric materials (FGPMs). Given that piezoelectric composite materials consist of multiple materials, the material properties of FGPMs vary with respect to angle. By introducing the asymptotic assumption that governs the physical fields close to the notch vertex into the static equilibrium equations, a comprehensive set of characteristic equations is formulated. All singularity orders and corresponding characteristic angle functions of the notch are determined by numerically solving the established characteristic equations. The effects of the notch opening angle, piezoelectric material polarization direction, and boundary conditions on the electromechanical field singularity at the notch are assessed. The judicious selection of material variation patterns can alleviate notch singularity in FGPMs.

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压电多材料和功能分级压电材料中 V 形缺口的奇异性分析
本研究开发了一种新颖的奇异性分析方法,以解决压电材料数量和功能分级压电材料 (FGPM) 属性函数变化规律所带来的限制。鉴于压电复合材料由多种材料组成,FGPM 的材料特性随角度而变化。通过将管理缺口顶点附近物理场的渐近假定引入静态平衡方程,可以制定出一套完整的特征方程。通过对所建立的特征方程进行数值求解,确定了缺口的所有奇异阶数和相应的特征角函数。评估了缺口开口角、压电材料极化方向和边界条件对缺口处机电场奇异性的影响。明智地选择材料变化模式可以减轻 FGPM 的缺口奇异性。
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来源期刊
CiteScore
6.30
自引率
18.90%
发文量
256
审稿时长
4 months
期刊介绍: Fatigue & Fracture of Engineering Materials & Structures (FFEMS) encompasses the broad topic of structural integrity which is founded on the mechanics of fatigue and fracture, and is concerned with the reliability and effectiveness of various materials and structural components of any scale or geometry. The editors publish original contributions that will stimulate the intellectual innovation that generates elegant, effective and economic engineering designs. The journal is interdisciplinary and includes papers from scientists and engineers in the fields of materials science, mechanics, physics, chemistry, etc.
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