Modeling the interaction between inclusions and nanocracks in flexoelectric solid

IF 2.6 4区 工程技术 Q2 MECHANICS Journal of Applied Mechanics-Transactions of the Asme Pub Date : 2023-06-02 DOI:10.1115/1.4062659
Mengkang Xu, Xinpeng Tian, Q. Deng, Qun Li
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引用次数: 1

Abstract

Natural defects such as nano inclusions and nanocracks are inevitable in dielectric materials. When materials are subjected to mechanical loading, the strain gradient around crack tips and inclusions would become large and induce significant flexoelectric fields. In contrast to classical crack-inclusion problems, the interactions between these flexoelectric fields may locally change the electromechanical behaviors of materials, and result in some interesting phenomena. To better understand the crack-inclusion interactions in flexoelectric solids, in this work, we use a collocation mixed finite element method to model and analyze the flexoelectric fields around the crack tip and inclusion. Based on the J-integral, we analyze how the flexoelectric effect affect the interactions energy between nanocracks and nearby nano inclusions. This work proposes a new coupling mechanism in crack-inclusion problems and may inspire future experiments in flexoelectric solids.
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柔性电固体中夹杂物与纳米裂纹相互作用的模拟
在介质材料中,纳米夹杂物、纳米裂纹等自然缺陷是不可避免的。当材料受到机械载荷时,裂纹尖端和夹杂物周围的应变梯度会变大,并产生显著的挠曲电场。与经典的裂纹夹杂问题不同,这些柔性电场之间的相互作用可能会局部改变材料的机电行为,并导致一些有趣的现象。为了更好地理解挠曲电固体中裂纹-夹杂物的相互作用,本文采用搭配混合有限元法对裂纹尖端和夹杂物周围的挠曲电场进行了建模和分析。基于j积分,分析了挠曲电效应对纳米裂纹与附近纳米夹杂之间相互作用能的影响。这项工作提出了裂纹包含问题的一种新的耦合机制,并可能启发未来在柔性电固体中的实验。
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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