Citation: | HAO Yihan, TIAN Xinpeng, DENG Qian. Interaction Between Flexoelectric Fields Associated With Microholes in Solids[J]. Applied Mathematics and Mechanics, 2024, 45(11): 1381-1391. doi: 10.21656/1000-0887.450208 |
[1] |
YUDIN P V, TAGANTSEV A K. Fundamentals offlexoelectricity in solids[J]. Nanotechnology, 2013, 24 (43): 432001. doi: 10.1088/0957-4484/24/43/432001
|
[2] |
WANG B, GU Y, ZHANG S, et al. Flexoelectricity in solids: progress, challenges, and perspectives[J]. Progress in Materials Science, 2019, 106 : 100570. doi: 10.1016/j.pmatsci.2019.05.003
|
[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. doi: 10.1063/5.0015987
|
[4] |
NGUYEN T D, MAO S, YEH Y W, et al. Nanoscale flexoelectricity[J]. Advanced Materials, 2013, 25 (7): 946-974. doi: 10.1002/adma.201203852
|
[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. doi: 10.1016/j.nanoen.2013.09.001
|
[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. doi: 10.1016/0020-7683(71)90103-X
|
[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. doi: 10.1103/PhysRevB.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. doi: 10.1016/j.jmps.2015.07.013
|
[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. doi: 10.1115/1.4053268
|
[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. doi: 10.1115/1.4062659
|
[11] |
XIE J C, LINDER C. Analysis offlexoelectric solids with a cylindrical cavity[J]. Journal of Applied Mechanics, 2024, 91 (1): 011007. doi: 10.1115/1.4063145
|
[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. http://www.applmathmech.cn/article/id/4263
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) http://www.applmathmech.cn/article/id/4263
|
[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. doi: 10.1016/0010-4361(91)90100-U
|
[15] |
MINDLIN R D. Polarization gradient in elastic dielectrics[J]. International Journal of Solids and Structures, 1968, 4 (6): 637-642. doi: 10.1016/0020-7683(68)90079-6
|
[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. doi: 10.1016/j.jmps.2010.03.001
|
[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. doi: 10.1016/j.engfracmech.2022.108895
|
[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. doi: 10.1007/s10338-024-00485-5
|
[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. doi: 10.1007/s10338-023-00459-z
|
[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. doi: 10.1016/j.engfracmech.2023.109452
|
[22] |
TIAN X P, ZHOU H Y, DENG Q, et al. Modeling the flexoelectric effect in semiconductors via a second-order collocation MFEM[J]. International Journal of Mechanical Sciences, 2024, 264 : 108837. doi: 10.1016/j.ijmecsci.2023.108837
|