固体材料中微孔洞间挠曲电场的相互作用

郝一涵; 田新鹏; 邓谦

doi:10.21656/1000-0887.450208

固体材料中微孔洞间挠曲电场的相互作用

doi: 10.21656/1000-0887.450208

1. 华中科技大学航空航天学院工程力学系，武汉 430074;
2. 西安理工大学土木建筑工程学院工程力学系，西安 710048

基金项目:

国家自然科学基金（12172142）

详细信息

作者简介:
郝一涵（1998—），女，博士生(E-mail: d202280621@hust.edu.cn);田新鹏（1990—）男，副教授(E-mail: xinpengtian@xaut.edu.cn);邓谦（1978—），男，教授，博士生导师(通讯作者. E-mail: tonydqian@hust.edu.cn).

通讯作者:
邓谦（1978—），男，教授，博士生导师(通讯作者. E-mail: tonydqian@hust.edu.cn).

中图分类号: O34
计量
- 文章访问数: 77
- HTML全文浏览量: 11
- PDF下载量: 20
- 被引次数: 0
出版历程
- 收稿日期: 2024-07-12
- 修回日期: 2024-08-15
- 网络出版日期: 2024-12-02

Interaction Between Flexoelectric Fields Associated With Microholes in Solids

1. Department of Engineering Mechanics, School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, P.R.China;
2. Department of Engineering Mechanics, School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, P.R.China

Funds:

The National Science Foundation of China(12172142)

摘要

摘要: 该文研究了固体材料中常见缺陷微孔洞间挠曲电场的相互作用.通过配点混合有限元法模拟并对比了单孔和双孔模型中孔洞附近的应力、应变梯度以及挠曲电场的分布情况.数值模拟结果表明，当两个孔洞间的距离逐渐减小时，两孔附近的挠曲电场开始发生相互作用.此外，进一步探讨了微孔洞间挠曲电场的相互作用随孔间距离和孔洞尺寸的变化规律.结果表明，当孔间距离越近，尺寸越小时，孔间挠曲电场的相互作用越强.
- 微孔间相互作用 /
- 挠曲电效应 /
- 孔间距离 /
- 孔洞尺寸
Abstract: The flexoelectric fields’ interactions between microholes of common defects in solid materials are studied. With the collocation mixed finite element method, the distributions of the stress, the strain gradient, and the flexoelectric field around the hole of the single hole and the double holes, respectively, are compared. The numerical simulation results indicate that, the flexoelectric fields’ interaction around the double holes emerges with the gradual decrease of the distance between the double holes. In addition, the effects of the distance between holes and the size of holes on the flexoelectric fields’ interaction between microholes are explored. The results show that, reducing the distance between double holes and shrinking the size of holes will induce to an enhanced interaction of the flexoelectric field between double holes.
- interaction between microholes /
- flexoelectric effect /
- distance between holes /
- hole size

HTML全文

参考文献(22)

YUDIN P V, TAGANTSEV A K. Fundamentals offlexoelectricity in solids[J].Nanotechnology,2013,24(43): 432001.

[2]WANG B, GU Y, ZHANG S, et al. Flexoelectricity in solids: progress, challenges, and perspectives[J].Progress in Materials Science,2019,106: 100570.

[3]DENG Q, LV S H, LI Z Q, et al. The impact of flexoelectricity on materials, devices, and physics[J].Journal of Applied Physics,2020,128(8): 080902.

[4]NGUYEN T D, MAO S, YEH Y W, et al. Nanoscale flexoelectricity[J].Advanced Materials,2013,25(7): 946-974.

[5]JIANG X N, HUANG W B, ZHANG S J. Flexoelectric nano-generator: materials, structures and devices[J].Nano Energy,2013,2(6): 1079-1092.

[6]ASKAR A, LEE P C Y, CAKMAK A S. The effect of surface curvature and discontinuity on the surface energy density and other induced fields in elastic dielectrics with polarization gradient[J].International Journal of Solids and Structures,1971,7(5): 523-537.

[7]MARANGANTI R, SHARMA N D, SHARMA P. Electromechanical coupling innonpiezoelectric materials due to nanoscale nonlocal size effects: Green’s function solutions and embedded inclusions[J].Physical Review B,2006,74: 014110.

[8]MAO S, PUROHIT P K. Defects in flexoelectric solids[J].Journal of the Mechanics and Physics of Solids,2015,84: 95-115.

[9]TIAN X P, XU M K, ZHOU H Y, et al. Analytical studies on mode Ⅲ fracture in flexoelectric solids[J].Journal of Applied Mechanics,2022,89(4): 041006.

[10]XU M K, TIAN X P, DENG Q, et al. Modeling the interaction between inclusions and nanocracks in flexoelectric solids[J].Journal of Applied Mechanics,2023,90(10): 101005.

[11]XIE J C, LINDER C. Analysis offlexoelectric solids with a cylindrical cavity[J].Journal of Applied Mechanics,2024,91(1): 011007.

[12]周承芳, 关长文. 无限大板包含任意排列多个椭圆孔洞的应力集中和多裂纹的应力强度因子计算[J]. 应用数学和力学, 1983,4(6): 789-800.(ZHOU Chengfang, GUAN Changwen. Stress concentration and stress intensity factors for an infinite plane with several rows of elliptic holes and cracks[J].Applied Mathematics and Mechanics,1983,4(6): 789-800.(in Chinese))

[13]刘文辉, 何圳涛, 胡忠举. 表面微空洞长大和相互作用的晶体有限元分析[J]. 固体力学学报, 2012,33(4): 437-443.(LIU Wenhui, HE Zhentao, HU Zhongju. CPFEM analysis on growth and interaction behaviors of surface voids[J].Chinese Journal of Solid Mechanics,2012,33(4): 437-443.(in Chinese))

[14]SOUTIS C, FLECK N A, CURTIS P T. Hole-hole interaction in carbon fibre/epoxy laminates under uniaxial compression[J].Composites,1991,22(1): 31-38.

[15]MINDLIN R D. Polarization gradient in elastic dielectrics[J].International Journal of Solids and Structures,1968,4(6): 637-642.

[16]SHEN S P, HU S L. A theory of flexoelectricity with surface effect for elastic dielectrics[J].Journal of the Mechanics and Physics of Solids,2010,58(5): 665-677.

[17]SLADEK J, SLADEK V, HRYTSYNA M, et al. Application of the gradient theory to interface crack between two dissimilar dielectric materials[J].Engineering Fracture Mechanics,2022,276: 108895.

[18]WANG S, SU H C, YI M, et al. Strain gradient finite element formulation of flexoelectricity in ferroelectric material based on phase-field method[J].Acta Mechanica Solida Sinica,2024,37(4): 570-579.

[19]BAO A W, LI X B, PU Y X, et al. Surface elastic effects on electromechanical responses of a piezoelectric semiconducting nanobeam[J].Acta Mechanica Solida Sinica,2024,37(4): 598-612.

[20]TIAN X P, SLADEK J, SLADEK V, et al. A collocation mixed finite element method for the analysis of flexoelectric solids[J].International Journal of Solids and Structures,2021,217: 27-39.

[21]TIAN X P, XU M K, ZHOU H Y, et al. Modeling the flexoelectric effect around the tip of nano-cracks using a collocation MFEM[J].Engineering Fracture Mechanics,2023,289: 109452.

[22]TIAN X P, ZHOU H Y, DENG Q, et al. Modeling the flexoelectric effect in semiconductorsvia a second-order collocation MFEM[J].International Journal of Mechanical Sciences,2024,264: 108837.

施引文献

资源附件(0)

访问统计