Numerical investigation of sensing and energy harvesting performance of 0-3 and triply periodic minimal surface-based K 0 . 475 N a 0 . 475 L i 0 . 05 ( N b 0 . 92 T a 0 . 05 S b 0 . 03 ) O 3 and polyethylene piezocomposite: A comparative study
Restricted accessResearch articleFirst published online September, 2022
Numerical investigation of sensing and energy harvesting performance of 0-3 and triply periodic minimal surface-based K 0 . 475 N a 0 . 475 L i 0 . 05 ( N b 0 . 92 T a 0 . 05 S b 0 . 03 ) O 3 and polyethylene piezocomposite: A comparative study
The present paper is devoted to conducting a comparative study on the sensing and energy harvesting performance of a 0-3 and triply periodic minimal surface (TPMS)-based piezocomposite with (KNLNTS) material as piezoelectric inclusions and polyethylene as the matrix material. Different types of TPMS are reported in literature like Neovius, Fischer-Koch S, Schwarz CLP, Schoen Gyroid, Schoen IWP, Schwarz Primitive, etc. In the present study, Schwarz primitive TPMS is considered. Representative volume elements (RVEs) with four different volume fractions are generated and the finite element simulations are performed to compute the effective elastic and piezoelectric properties. The homogenization technique is used to calculate the effective properties. The calculated values of the effective properties are further used to calculate the sensing voltage between the electrodes and harvested power across the resistance. The effective elastic and piezoelectric properties increase with an increase in volume fraction of the piezoelectric inclusions resulting in a higher sensing voltage and power. Significant improvement in the effective elastic and piezoelectric properties of TPMS-based piezocomposite was observed. TPMS-based piezocomposite exhibited superior performance as compared to their 0-3 counterparts.
AbueiddaDWAbu Al-RubRKDalaqAS, et al. (2016) Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces. Mechanics of Materials95: 102–115.
2.
AgbossouARichardCVigierY (2003) Segmented piezoelectric fiber composite for vibration control: Fabricating and modeling of electromechanical properties. Composites Science and Technology63(6): 871–881.
3.
Al-KetanOAbu Al-RubRK (2019) Multifunctional mechanical metamaterials based on triply periodic minimal surface lattices. Advanced Engineering Materials21(10): 1900524.
4.
Al-KetanOAbu Al-RubRK (2020) MSLattice: A free software for generating uniform and graded lattices based on triply periodic minimal surfaces. Material Design & Processing Communications. Epub ahead of print 23October2020. DOI: 10.1002/mdp2.205.
5.
Al-KetanOAdel AssadMAbu Al-RubRK (2017a) Mechanical properties of periodic interpenetrating phase composites with novel architected microstructures. Composite Structures176: 9–19.
6.
Al-KetanOAl-RubRKARowshanR (2017b) Mechanical properties of a new type of architected interpenetrating phase composite materials. Advanced Materials Technologies2(2): 1600235.
7.
AntonSRSodanoHA (2007) A review of power harvesting using piezoelectric materials (2003–2006). Smart Materials and Structures16(3): R1–R21.
8.
BakhvalovNSPanasenkoG (2012) Homogenisation: Averaging Processes in Periodic Media: Mathematical Problems in the Mechanics of Composite Materials. Cham: Springer Science & Business Media.
9.
BenvenisteY (1992) The determination of the elastic and electric fields in a piezoelectric inhomogeneity. Journal of Applied Physics72(3): 1086–1095.
10.
BenvenisteY (1993) Universal relations in piezoelectric composites with eigenstress and polarization fields, part I: Binary media—Local fields and effective behavior. Journal of Applied Mechanics60(2): 265–269.
11.
BergerHKariSGabbertU, et al. (2005) An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites. International Journal of Solids and Structures42(21–22): 5692–5714.
12.
BergerHKariSGabbertU, et al. (2006) Unit cell models of piezoelectric fiber composites for numerical and analytical calculation of effective properties. Smart Materials and Structures15(2): 451–458.
13.
BiaoW (1992) Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material. International Journal of Solids and Structures29(3): 293–308.
14.
BowenCRKimHAWeaverPM, et al. (2014) Piezoelectric and ferroelectric materials and structures for energy harvesting applications. Energy & Environmental Science7(1): 25–44.
15.
BowenCRTopolovVYKimHA (2016) Modern Piezoelectric Energy-Harvesting Materials. Cham: Springer.
16.
BrakkeKA (1992) The surface evolver. Experimental Mathematics1(2): 141–165.
17.
ChallisVJRobertsAPWilkinsAH (2008) Design of three dimensional isotropic microstructures for maximized stiffness and conductivity. International Journal of Solids and Structures45(14–15): 4130–4146.
18.
ChanHWUnsworthJ (1989) Simple model for piezoelectric ceramic/polymer 1-3 composites used in ultrasonic transducer applications. IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control36(4): 434–441.
19.
ChenT (1993) Piezoelectric properties of multiphase fibrous composites: Some theoretical results. Journal of the Mechanics and Physics of Solids41(11): 1781–1794.
20.
ChenZXieYMWuX, et al. (2019) On hybrid cellular materials based on triply periodic minimal surfaces with extreme mechanical properties. Materials & Design183: 108109–108109.
21.
ChengKCChanHLChoyCL, et al. (2003) Single crystal PMN-0.33PT/epoxy 1-3 composites for ultrasonic transducer applications. IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control50(9): 1177–1183.
22.
ChoHWeaverJCPöseltE, et al. (2016) Engineering the mechanics of heterogeneous soft crystals. Advanced Functional Materials26(38): 6938–6949.
23.
DalaqASAbueiddaDWAbu Al-RubRK (2016a) Mechanical properties of 3D printed interpenetrating phase composites with novel architectured 3D solid-sheet reinforcements. Composites Part A: Applied Science and Manufacturing84: 266–280.
24.
DalaqASAbueiddaDWAbu Al-RubRK, et al. (2016b) Finite element prediction of effective elastic properties of interpenetrating phase composites with architectured 3D sheet reinforcements. International Journal of Solids and Structures83: 169–182.
25.
DavisMDamjanovicDHayemD, et al. (2005) Domain engineering of the transverse piezoelectric coefficient in perovskite ferroelectrics. Journal of Applied Physics98(1): 014102.
26.
DingH-JHouP-FGuoF-L (2000) The elastic and electric fields for three-dimensional contact for transversely isotropic piezoelectric materials. International Journal of Solids and Structures37(23): 3201–3229.
27.
DunnMLTayaM (1993) Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites. International Journal of Solids and Structures30(2): 161–175.
28.
DunnMLWieneckeHA (1996) Green’s functions for transversely isotropic piezoelectric solids. International Journal of Solids and Structures33(30): 4571–4581.
29.
DunnMLWieneckeHA (1997) Inclusions and inhomogeneities in transversely isotropic piezoelectric solids. International Journal of Solids and Structures34(27): 3571–3582.
30.
EnescuD (2019) Thermoelectric energy harvesting: Basic principles and applications. In: EnescuD (ed.) Green Energy Advances. London: Intech Open, pp.1–38.
31.
ErturkAInmanDJ (2008) A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters. Journal of Vibration and Acoustics130(4): 041002.
32.
ErturkAInmanDJ (2011) Piezoelectric Energy Harvesting. Chichester: John Wiley & Sons.
33.
HagoodNWBentAA (1993) Development of piezoelectric fiber composites for structural actuation. In: 34th structures, structural dynamics and materials conference, La Jolla, CA, 19–22 April, pp.3625–3638. Reston, VA: American Institute of Aeronautics and Astronautics.
34.
HsiehM-TValdevitL (2020) Minisurf – A minimal surface generator for finite element modeling and additive manufacturing. Software Impacts6: 100026.
35.
HunterSRLavrikNVBannuruT, et al. (2011) Development of MEMS based pyroelectric thermal energy harvesters. In: 2011 SPIE energy harvesting and storage: Materials, devices, and applications II, Orlando, FL, 17 May, pp.80350V1–80350V12. Orlando, Florida, United States: International Society for Optics and Photonics.
36.
JiangXKimJKimK (2014) Relaxor-PT single crystal piezoelectric sensors. Crystals4(3): 351–376.
37.
KarmakarSKiranRSingh ChauhanV, et al. (2020) Effect of porosity on energy harvesting performance of 0.5Ba(Ca0.8Zr0.2)O3−0.5(Ba0.7ca0.3)TiO3 ceramics: A numerical study. Energy Technology8(5): 1901302.
38.
KimHSKimJHKimJ (2011) A review of piezoelectric energy harvesting based on vibration. International Journal of Precision Engineering and Manufacturing12(6): 1129–1141.
39.
KimJVaradanVVVaradanVK (1997) Finite element modelling of structures including piezoelectric active devices. International Journal for Numerical Methods in Engineering40(5): 817–832.
40.
KrivoruchkoAVTopolovVY (2007) On the remarkable performance of novel 2–2-type composites based on [0 1 1] poled 0.93Pb(Zn1/3Nb2/3)O3–0.07PbTiO3single crystals. Journal of Physics D: Applied Physics40(22): 7113–7120.
41.
KumarASharmaAKumarR, et al. (2014) Finite element analysis of vibration energy harvesting using lead-free piezoelectric materials: A comparative study. Journal of Asian Ceramic Societies2(2): 139–143.
42.
KumarRMishraBKJainSC (2008) Static and dynamic analysis of smart cylindrical shell. Finite Elements in Analysis and Design45(1): 13–24.
43.
KwokKWLeeTChoySH, et al. (2010) Lead-free piezoelectric transducers for microelectronic wirebonding applications. Piezoelectric Ceramics3: 145–164.
44.
LašováZZemčíkR (2012) Comparison of finite element models for piezoelectric materials. Procedia Engineering48: 375–380.
45.
LengletEHladky-HennionA-CDebusJ-C (2003) Numerical homogenization techniques applied to piezoelectric composites. The Journal of the Acoustical Society of America113(2): 826–833.
46.
LiS (2001) General unit cells for micromechanical analyses of unidirectional composites. Composites Part A: Applied Science and Manufacturing32(6): 815–826.
47.
MaederMDDamjanovicDSetterN (2004) Lead free piezoelectric materials. Journal of Electroceramics13(1–3): 385–392.
48.
NarayananSBalamuruganV (2003) Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators. Journal of Sound and Vibration262(3): 529–562.
49.
NewnhamRESkinnerDPCrossLE (1978) Connectivity and piezoelectric-pyroelectric composites. Materials Research Bulletin13(5): 525–536.
50.
PandeyRVatsGYunJ, et al. (2019) Mutual insight on ferroelectrics and hybrid halide perovskites: A platform for future multifunctional energy conversion. Advanced Materials31(43): e1807376.
51.
PastorJ (1997) Homogenization of linear piezoelectric media. Mechanics Research Communications24(2): 145–150.
52.
PettermannHESureshS (2000) A comprehensive unit cell model: A study of coupled effects in piezoelectric 1–3 composites. International Journal of Solids and Structures37(39): 5447–5464.
53.
Pinto CorreiaIFMota SoaresCMMota SoaresCA, et al. (2002) Active control of axisymmetric shells with piezoelectric layers: A mixed laminated theory with a high order displacement field. Computers & Structures80(27–30): 2265–2275.
54.
PoniznikZSalitVBasistaM, et al. (2008) Effective elastic properties of interpenetrating phase composites. Computational Materials Science44(2): 813–820.
55.
RitterTGengXKirk ShungK, et al. (2000) Single crystal PZN/PT-polymer composites for ultrasound transducer applications. IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control47(4): 792–800.
56.
RoundySLelandESBakerJ, et al. (2005) Improving power output for vibration-based energy scavengers. IEEE Pervasive Computing4(1): 28–36.
57.
SaadonSSidekO (2011) A review of vibration-based MEMS piezoelectric energy harvesters. Energy Conversion and Management52(1): 500–504.
58.
SafariA (1994) Development of piezoelectric composites for transducers. Journal de Physique III4(7): 1129–1149.
59.
ShinJ-HHongS-H (2014) Fabrication and properties of reduced graphene oxide reinforced yttria-stabilized zirconia composite ceramics. Journal of the European Ceramic Society34(5): 1297–1302.
60.
SilvaECNFonsecaJSOKikuchiN (1998) Optimal design of periodic piezocomposites. Computer Methods in Applied Mechanics and Engineering159(1–2): 49–77.
61.
SmithWAAuldBA (1991) Modeling 1-3 composite piezoelectrics: Thickness-mode oscillations. IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control38(1): 40–47.
62.
SnyderGJ (2009) Thermoelectric energy harvesting. In: PriyaSInmanDJ (eds) Energy Harvesting Technologies. Boston, MA: Springer, pp.325–336.
63.
SodanoHAInmanDJParkG (2004) A review of power harvesting from vibration using piezoelectric materials. The Shock and Vibration Digest36(3): 197–205.
64.
StrömbergN (2021) Optimal grading of TPMS-based lattice structures with transversely isotropic elastic bulk properties. Engineering Optimization53: 1871–1883.
65.
SunECaoW (2014) Relaxor-based ferroelectric single crystals: Growth, domain engineering, characterization and applications. Progress in Materials Science65: 124–210.
66.
SunHDiSZhangN, et al. (2001) Micromechanics of composite materials using multivariable finite element method and homogenization theory. International Journal of Solids and Structures38(17): 3007–3020.
67.
TanXGVu-QuocL (2005) Optimal solid shell element for large deformable composite structures with piezoelectric layers and active vibration control. International Journal for Numerical Methods in Engineering64(15): 1981–2013.
68.
TangYZhangSShenZ, et al. (2013) Primary and secondary pyroelectric coefficients of rhombohedral and tetragonal single-domain relaxor-PbTiO3 single crystals. Journal of Applied Physics114(8): 084105.
69.
ThakreAKumarASongH-C, et al. (2019) Pyroelectric energy conversion and its applications—flexible energy harvesters and sensors. Sensors19(9): 2170–2170.
70.
TopolovVYBisegnaPBowenCR (2011) Analysis of the piezoelectric performance of modern 0–3-type composites based on relaxor-ferroelectric single crystals. Ferroelectrics413(1): 176–191.
71.
TopolovVYBowenCRGlushaninSV, et al. (2009) Electromechanical coupling in the novel 2–2 parallel-connected PMN–0.33PT single-domain crystal/polymer composite. Ferroelectrics393(1): 27–37.
72.
TopolovVYKrivoruchkoAV (2009a) Orientation effects in 2-2 piezocomposites based on (1−x)Pb(A1/3Nb2/3)O3−xPbTiO3 single crystals (A=Mg or Zn). Journal of Applied Physics105(7): 074105.
73.
TopolovVYKrivoruchkoAV (2009b) Polarization orientation effect and combination of electromechanical properties in advanced 0.67Pb(Mg1/3Nb2/3)O3–0.33PbTiO3single crystal/polymer composites with 2–2 connectivity. Smart Materials and Structures18(6): 65011–65011.
74.
TopolovVYKrivoruchkoAVBowenCR (2007) Maxima of effective parameters of novel piezo-composites based on relaxor-ferroelectric single crystals. Ferroelectrics351(1): 145–152.
75.
TorquatoSDonevA (2004) Minimal surfaces and multifunctionality. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences460(2047): 1849–1856.
76.
TorquatoSHyunSDonevA (2002) Multifunctional composites: Optimizing microstructures for simultaneous transport of heat and electricity. Physical Review Letters89(26): 266601.
77.
VaishR (2013) Piezoelectric and pyroelectric materials selection. International Journal of Applied Ceramic Technology10(4): 682–689.
78.
VatsGVaishR (2013) Piezoelectric material selection for transducers under fuzzy environment. Journal of Advanced Ceramics2(2): 141–148.
79.
VatsGVaishR (2014) Selection of lead-free piezoelectric ceramics. International Journal of Applied Ceramic Technology11(5): 883–893.
80.
WangFHeCTangY, et al. (2007) Single-crystal 0.7Pb(Mg1/3Nb2/3)O3–0.3PbTiO3/epoxy 1–3 piezoelectric composites prepared by the lamination technique. Materials Chemistry and Physics105(2–3): 273–277.
81.
XuHXieYMChanR, et al. (2020) Piezoelectric properties of triply periodic minimum surface structures. Composites Science and Technology200: 108417.
82.
XuRKimS-G (2012) Figures of merits of piezoelectric materials in energy. In: PowerMEMS, Atlanta, GA, 2–5December, pp.464–467.
83.
YangNQuanZZhangD, et al. (2014) Multi-morphology transition hybridization CAD design of minimal surface porous structures for use in tissue engineering. Computer-Aided Design56: 11–21.
84.
YangZZhouSZuJ, et al. (2018) High-performance piezoelectric energy harvesters and their applications. Joule2(4): 642–697.
85.
YuSSunJBaiJ (2019) Investigation of functionally graded TPMS structures fabricated by additive manufacturing. Materials & Design182: 108021.
86.
Yu LiJDunnML (2001) Variational bounds for the effective moduli of heterogeneous piezoelectric solids. Philosophical Magazine A81(4): 903–926.
87.
ZhangYXieMRoscowJ, et al. (2019) Dielectric and piezoelectric properties of porous lead-free 0.5Ba(Ca0.8Zr0.2)O3-0.5(Ba0.7Ca 0.3)TiO3 ceramics. Materials Research Bulletin112: 426–431.
