journal article·2024-08

New Insight into the Flexoelectricity in the View of Mechanics of Materials: Prismatic Beams Subjected to Bending

Xu Yang, Lingling Chen, Shengyou Yang

Acta Mechanica Solida Sinica· Volume 37· Issue 4
Publisher page

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Vibration and Dynamic Analysis · Advanced Materials and Mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (63)

Show source-provided references
1. Tagantsev AK. Piezoelectricity and flexoelectricity in crystalline dielectrics. Phys Rev B. 1986;34(8):5883–9.10.1103/PhysRevB.34.5883 ↗
2. Sharma ND, Maranganti R, Sharma P. On the possibility of piezoelectric nanocomposites without using piezoelectric materials. J Mech Phys Solids. 2007;55(11):2328–50.10.1016/j.jmps.2007.03.016 ↗
3. Yudin P, Tagantsev A. Fundamentals of flexoelectricity in solids. Nanotechnology. 2013;24(43):432001.10.1088/0957-4484/24/43/432001 ↗
4. Deng Q, Liu L, Sharma P. Flexoelectricity in soft materials and biological membranes. J Mech Phys Solids. 2014;62:209–27.10.1016/j.jmps.2013.09.021 ↗
5. Ahmadpoor F, Sharma P. Flexoelectricity in two-dimensional crystalline and biological membranes. Nanoscale. 2015;7(40):16555–70.10.1039/C5NR04722F ↗
6. Krichen S, Sharma P. Flexoelectricity: a perspective on an unusual electromechanical coupling. J Appl Mech. 2016;83(3):030801.10.1115/1.4032378 ↗
7. Wang B, Gu Y, Zhang S, Chen LQ. Flexoelectricity in solids: progress, challenges, and perspectives. Prog Mater Sci. 2019;106:100570.10.1016/j.pmatsci.2019.05.003 ↗
8. Maranganti R, Sharma ND, Sharma P. Electromechanical coupling in nonpiezoelectric materials due to nanoscale nonlocal size effects: green’s function solutions and embedded inclusions. Phys Rev B. 2006;74(1):014110.10.1103/PhysRevB.74.014110 ↗
9. Majdoub MS, Sharma P, Çağin T. Enhanced size-dependent piezoelectricity and elasticity in nanostructures due to the flexoelectric effect. Phys Rev B. 2008;77:125424.10.1103/PhysRevB.77.125424 ↗
10. Nguyen TD, Mao S, Yeh YW, Purohit PK, McAlpine MC. Nanoscale flexoelectricity. Adv Mater. 2013;25(7):946–74.10.1002/adma.201203852 ↗
11. Mao S, Purohit PK. Insights into flexoelectric solids from strain-gradient elasticity. J Appl Mech. 2014;81(8):081004.10.1115/1.4027451 ↗
12. Abdollahi A, Arias I. Constructive and destructive interplay between piezoelectricity and flexoelectricity in flexural sensors and actuators. J Appl Mech. 2015;82(12):121003.10.1115/1.4031333 ↗
13. Yan X, Huang W, Kwon SR, Yang S, Jiang X, Yuan FG. A sensor for the direct measurement of curvature based on flexoelectricity. Smart Mater Struct. 2013;22(8):085016.10.1088/0964-1726/22/8/085016 ↗
14. Jiang X, Huang W, Zhang S. Flexoelectric nano-generator: materials, structures and devices. Nano Energy. 2013;2(6):1079–92.10.1016/j.nanoen.2013.09.001 ↗
15. Majdoub MS, Sharma P, Çağin T. Dramatic enhancement in energy harvesting for a narrow range of dimensions in piezoelectric nanostructures. Phys Rev B. 2008;78(12):121407.10.1103/PhysRevB.78.121407 ↗
16. Deng Q, Kammoun M, Erturk A, Sharma P. Nanoscale flexoelectric energy harvesting. Int J Solids Struct. 2014;51(18):3218–25.10.1016/j.ijsolstr.2014.05.018 ↗
17. Wang B, Yang S, Sharma P. Flexoelectricity as a universal mechanism for energy harvesting from crumpling of thin sheets. Phys Rev B. 2019;100:035438.10.1103/PhysRevB.100.035438 ↗
18. Yan D, Wang J, Xiang J, Xing Y, Shao LH. A flexoelectricity-enabled ultrahigh piezoelectric effect of a polymeric composite foam as a strain-gradient electric generator. Sci Adv. 2023;9(2):eadc845.10.1126/sciadv.adc8845 ↗
19. Jiang Y, Yan D, Wang J, Shao LH, Sharma P. The giant flexoelectric effect in a luffa plant-based sponge for green devices and energy harvesters. Proc Natl Acad Sci. 2023;120(40):e2311755120.10.1073/pnas.2311755120 ↗
20. Liu J, Chen X, Li Y, Guo X, Ge H, Shen Q. Ferroelectric polymer nanostructure with enhanced flexoelectric response for force-induced memory. Appl Phys Lett. 2018;113(4):042903.10.1063/1.5040744 ↗
21. Rudquist P, Buivydas M, Komitov L, Lagerwall ST. Linear electro-optic effect based on flexoelectricity in a cholesteric with sign change of dielectric anisotropy. J Appl Phys. 1994;76:7778–83.10.1063/1.358523 ↗
22. Bhaskar UK, Banerjee N, Abdollahi A, Wang Z, Schlom DG, Rijnders G, et al. A flexoelectric microelectromechanical system on silicon. Nat Nanotechnol. 2016;11:263–6.10.1038/nnano.2015.260 ↗
23. Bhaskar UK, Banerjee N, Abdollahi A, Solanas E, Rijnders G, Catalan G. Flexoelectric MEMS: towards an electromechanical strain diode. Nanoscale. 2016;8(3):1293–8.10.1039/C5NR06514C ↗
24. Liu L, Sharma P. Flexoelectricity and thermal fluctuations of lipid bilayer membranes: renormalization of flexoelectric, dielectric, and elastic properties. Phys Rev E. 2013;87(3):032715.10.1103/PhysRevE.87.032715 ↗
25. Torbati M, Mozaffari K, Liu L, Sharma P. Coupling of mechanical deformation and electromagnetic fields in biological cells. Rev Mod Phys. 2022;94:025003.10.1103/RevModPhys.94.025003 ↗
26. Harris P. Mechanism for the shock polarization of dielectrics. J Appl Phys. 1965;36(3):739–41.10.1063/1.1714210 ↗
27. Ma W, Cross LE. Large flexoelectric polarization in ceramic lead magnesium niobate. Appl Phys Lett. 2001;79(26):4420–2.10.1063/1.1426690 ↗
28. Ma W, Cross LE. Observation of the flexoelectric effect in relaxor Pb(Mg1/3Nb2/3)O3 ceramics. Appl Phys Lett. 2001;78(19):2920–1.10.1063/1.1356444 ↗
29. Ma W, Cross LE. Flexoelectric polarization of barium strontium titanate in the paraelectric state. Appl Phys Lett. 2002;81(18):3440–2.10.1063/1.1518559 ↗
30. Ma W, Cross LE. Strain-gradient-induced electric polarization in lead zirconate titanate ceramics. Appl Phys Lett. 2005;82(19):3293–5.10.1063/1.1570517 ↗
31. Ma W, Cross LE. Flexoelectric effect in ceramic lead zirconate titanate. Appl Phys Lett. 2005;86(7):072905.10.1063/1.1868078 ↗
32. Ma W, Cross LE. Flexoelectricity of barium titanate. Appl Phys Lett. 2006;88(23):232902.10.1063/1.2211309 ↗
33. Zubko P, Catalan G, Buckley A, Welche P, Scott JF. Strain gradient induced polarization in SrTiO3 single crystals. Phys Rev Lett. 2007;99(16):167601.10.1103/PhysRevLett.99.167601 ↗
34. Zhang S, Liu K, Xu M, Shen H, Chen K, Feng B, et al. Investigation of the 2312 flexoelectric coefficient component of polyvinylidene fluoride: deduction, simulation, and mensuration. Sci Rep. 2017;7(1):3134.10.1038/s41598-017-03403-7 ↗
35. Mashkevich VS, Tolpygo KB. Electrical, optical and elastic properties of diamond type crystals. Soviet Phys-Solid State. 1957;5(3):435–9.
36. Tolpygo KB. Long wavelength oscillations of diamond-type crystals including long range forces. Soviet Phys-Solid State. 1963;4:1297–305.
37. Kogan SM. Piezoelectric effect during inhomogeneous deformation and acoustic scattering of carriers in crystals. Soviet Phys-Solid State. 1964;5(10):2067–70.
38. Askar A, Lee PCY, Cakmak AS. Lattice-dynamics approach to the theory of elastic dielectrics with polarization gradient. Phys Rev B. 1970;1(8):3525–37.10.1103/PhysRevB.1.3525 ↗
39. Marvan M, Havránek A. Flexoelectric effect in elastomers. In: Relationships of polymeric structure and properties; 2007.
40. Grasinger M, Mozaffari K, Sharma P. Flexoelectricity in soft elastomers and the molecular mechanisms underpinning the design and emergence of giant flexoelectricity. Proc Natl Acad Sci. 2021;118(21):e2102477118.10.1073/pnas.2102477118 ↗
41. Maranganti R, Sharma P. Atomistic determination of flexoelectric properties of crystalline dielectrics. Phys Rev B. 2009;80(5):054109.10.1103/PhysRevB.80.054109 ↗
42. Hong J, Vanderbilt D. First-principles theory and calculation of flexoelectricity. Phys Rev B. 2013;88(17):174107.10.1103/PhysRevB.88.174107 ↗
43. Dreyer CE, Stengel M, Vanderbilt D. Current-density implementation for calculating flexoelectric coefficients. Phys Rev B. 2018;98(7):075153.10.1103/PhysRevB.98.075153 ↗
44. Shen S, Hu S. A theory of flexoelectricity with surface effect for elastic dielectrics. J Mech Phys Solids. 2010;58(5):665–77.10.1016/j.jmps.2010.03.001 ↗
45. Nguyen BH, Zhuang X, Rabczuk T. NURBS-based formulation for nonlinear electro-gradient elasticity in semiconductors. Comput Methods Appl Mech Eng. 2019;346:1074–95.10.1016/j.cma.2018.08.026 ↗
46. Baroudi S, Najar F, Jemai A. Static and dynamic analytical coupled field analysis of piezoelectric flexoelectric nanobeams: a strain gradient theory approach. Int J Solids Struct. 2018;135:110–24.10.1016/j.ijsolstr.2017.11.014 ↗
47. Hadjesfandiari AR, Hajesfandiari A, Zhang H, Dargush GF. Size-dependent couple stress Timoshenko beam theory. 2017; 1–48.
48. Liang X, Hu S, Shen S. Nanoscale mechanical energy harvesting using piezoelectricity and flexoelectricity. Smart Mater Struct. 2017;26(3):035050.10.1088/1361-665X/26/3/035050 ↗
49. Zhuang X, Nguyen BH, Nanthakumar SS, Tran TQ, Alajlan N, Rabczuk T. Computational modeling of flexoelectricity-a review. Energies. 2020;13(6):1326.10.3390/en13061326 ↗
50. Abdollahi A, Peco C, Millán D, Arroyo M, Arias I. Computational evaluation of the flexoelectric effect in dielectric solids. J Appl Phys. 2014;116(9):093502.10.1063/1.4893974 ↗
51. Mao S, Purohit PK, Aravas N. Mixed finite-element formulations in piezoelectricity and flexoelectricity. Proc Royal Soc A Math, Phys Eng Sci. 2016;472(2190):20150879.
52. Deng F, Deng Q, Shen S. A three-dimensional mixed finite element for flexoelectricity. J Appl Mech. 2018;85(3):031009.10.1115/1.4038919 ↗
53. Liu C, Wang J, Xu G, Kamlah M, Zhang TY. An isogeometric approach to flexoelectric effect in ferroelectric materials. Int J Solids Struct. 2019;162:198–210.10.1016/j.ijsolstr.2018.12.008 ↗
54. Tian X, Sladek J, Sladek V, Deng Q, Li Q. A collocation mixed finite element method for the analysis of flexoelectric solids. Int J Solids Struct. 2021;217:27–39.10.1016/j.ijsolstr.2021.01.031 ↗
55. Beer F. Mechanics of materials. 7th ed. New York: McGraw-Hill Publishing; 2014.
56. Majdoub MS, Sharma P, Çağin T. Erratum: enhanced size-dependent piezoelectricity and elasticity in nanostructures due to the flexoelectric effect [Phys. Rev. B 77, 125424 (2008)]. Phys Rev B. 2009;79(11):119904.10.1103/PhysRevB.79.119904 ↗
57. Zubko P, Catalán G, Tagantsev AK. Flexoelectric effect in solids. Annu Rev Mater Res. 2013;43:387–421.10.1146/annurev-matsci-071312-121634 ↗
58. Zalesskii VG, Rumyantseva ED. Converse flexoelectric effect in the SrTiO3 single crystal. Phys Solid State. 2014;56:1352–4.10.1134/S106378341407035X ↗
59. Rumyantseva ED, Zalesskii VG. Strain of a BaTiO3 single crystal caused by the converse flexoelectric effect. Phys Solid State. 2016;58:689–94.10.1134/S1063783416040211 ↗
60. Rahmati AH, Yang S, Bauer S, Sharma P. Nonlinear bending deformation of soft electrets and prospects for engineering flexoelectricity and transverse (d31) piezoelectricity. Soft Matter. 2019;15:127–48.10.1039/C8SM01664J ↗
61. Wen X, Li D, Tan K, Deng Q, Shen S. Flexoelectret: an electret with a tunable flexoelectriclike response. Phys Rev Lett. 2019;122:148001.10.1103/PhysRevLett.122.148001 ↗
62. Wen X, Tan K, Deng Q, Shen S. Inverse flexoelectret effect: bending dielectrics by a uniform electric field. Phys Rev Appl. 2021;15(1):014032.10.1103/PhysRevApplied.15.014032 ↗
63. Zheng X, Chen L, Wang B, Yang S, Zhou S. Fabrication and analysis of microcapsule electrets with a tunable flexoelectric-like response. ACS Appl Mater Interfaces. 2023;15(13):17301–8.10.1021/acsami.3c02031 ↗