Award Abstract # 1463339
Collaborative Research: Generating Electricity from Deformation: Multiscale Modeling and Characterization of Flexoelectricity from Atoms to Devices

NSF Org: CMMI
Division of Civil, Mechanical, and Manufacturing Innovation
Recipient: GEORGIA TECH RESEARCH CORP
Initial Amendment Date: April 7, 2015
Latest Amendment Date: April 7, 2015
Award Number: 1463339
Award Instrument: Standard Grant
Program Manager: Robert Landers
CMMI
 Division of Civil, Mechanical, and Manufacturing Innovation
ENG
 Directorate for Engineering
Start Date: June 1, 2015
End Date: May 31, 2019 (Estimated)
Total Intended Award Amount: $377,829.00
Total Awarded Amount to Date: $377,829.00
Funds Obligated to Date: FY 2015 = $377,829.00
History of Investigator:
  • Alper Erturk (Principal Investigator)
    alper.erturk@me.gatech.edu
Recipient Sponsored Research Office: Georgia Tech Research Corporation
926 DALNEY ST NW
ATLANTA
GA  US  30318-6395
(404)894-4819
Sponsor Congressional District: 05
Primary Place of Performance: Georgia Institute of Technology
225 North Ave NW
Atlanta
GA  US  30332-0002
Primary Place of Performance
Congressional District:
05
Unique Entity Identifier (UEI): EMW9FC8J3HN4
Parent UEI: EMW9FC8J3HN4
NSF Program(s): Dynamics, Control and System D
Primary Program Source: 01001516DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 030E, 031E, 032E, 033E, 034E, 035E, 8024
Program Element Code(s): 756900
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.041

ABSTRACT

Small sensors -- at the micro or nanoscale -- promise to extend human perception to extreme and previously inaccessible environments. How will these next-generation stand-alone sensor systems be powered? Many existing solutions use piezoelectric materials to convert mechanical vibration into electricity. However, only a small class of materials exhibits practically useful levels of this form of electromechanical coupling, and those typically lose their piezoelectricity at higher temperatures. This precludes their use in precisely the environments where the new classes of sensors are needed most. Furthermore, the highest performing piezoelectric materials contain lead, which creates manufacturing and disposal hazards. This project investigates generation of electricity by an entirely different phenomenon, called flexoelectricity. Unlike piezoelectricity, flexoelectricity is present in all dielectric solids, and thus offers an environmentally compatible alternative to piezoelectrics. This project combines complementary computational and experimental research studies to explore and understand flexoelectricity from atomistic scales to the device level. This work will enable a novel framework for the dramatically enhanced performance of energy harvesting devices.


This collaborative research program combines atomistic and continuum electroelastic modeling, nonlinear dynamic phenomena, nanofabrication, multi-scale experiments, and device characterization to facilitate the establishment of a novel class of revolutionary self-powered sensors and sensing systems at small scales. By bridging the atomistic and continuum theories with rigorous experiments, a fully coupled flexoelectric energy harvester framework will be established to explore the scaling laws for conversion efficiency and power density. For high excitation levels, nonlinear elastic, electroelastic, and dissipative effects in flexoelectric energy harvesting will also be characterized. Based on this fundamentally transformative approach to electromechanical energy harvesting, atomistic modeling of flexoelectricity and continuum-based energy harvesting models will be synergistically coupled with experiments to establish next-generation energy harvesters. Both linear and nonlinear broadband architectures will be explored for harvesting deterministic and stochastic vibrational energy. This research will also establish a framework and thorough understanding of the electroelastic dynamics of nanostructures for use in a variety of other problems involving two-way electromechanical coupling (e.g. sensing, actuation, control) at submicron scales.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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Adriane G. Moura and Alper Erturk "A Distributed-Parameter Flexoelectric Energy Harvester Model Accounting for Two-Way Coupling and Size Effects" Proceeding of the ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems , v.2 , 2016 , p.V002T07A0 doi:10.1115/SMASIS2016-9254
Adriane G. Moura and Alper Erturk "Electroelastodynamics of flexoelectric energy conversion and harvesting in elastic dielectrics" Journal of Applied Physics , v.121 , 2017 , p.064110 doi:10.1063/1.4976069
Adriane G. Moura and Alper Erturk "Size effects in piezoelectric cantilevers at submicron thickness levels due to flexoelectricity" Proceedings of the SPIE 10164, Active and Passive Smart Structures and Integrated Systems 2017 , v.10164 , 2017 , p.1016405 doi:10.1117/12.2260315
Moura, A. and Erturk, A. "A Distributed-Parameter Flexoelectric Energy Harvester Model Accounting for Two-Way Coupling and Size Effects" Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems , v.V002T07 , 2016 , p.SMASIS201 https://doi.org/10.1115/SMASIS2016-9254
Moura, A. and Erturk, A. "Combined piezoelectric and flexoelectric effects in resonant dynamics of nanocantilevers" Journal of Intelligent Material Systems and Structures , v.29 , 2018 , p.3949 https://doi.org/10.1177/1045389X18803441
Moura, A. and Erturk, A. "Electroelastodynamics of flexoelectric energy conversion and harvesting in elastic dielectrics" Journal of Applied Physics , v.121 , 2017 , p.064110 https://doi.org/10.1063/1.4976069
Moura, A. and Erturk, A. "Proceedings of the 25th SPIE Annual International Symposium on Smart Structures and Materials & Nondestructive Evaluation and Health Monitoring" Varying cross-section and axial strain-gradient effects in flexoelectric cantilevers at submicron thickness levels , v.10595 , 2018 , p.105951C https://doi.org/10.1117/12.2300997
Moura, A. and Erturk, A. "Size effects in piezoelectric cantilevers at submicron thickness levels due to flexoelectricity" Proceedings of the SPIE: Active and Passive Smart Structures and Integrated Systems , v.10164 , 2017 , p.1016405 https://doi.org/10.1117/12.2260315
Moura, A. and Erturk, A. "Varying cross-section and axial strain-gradient effects in flexoelectric cantilevers at submicron thickness levels" Proceedings of the SPIE: Active and Passive Smart Structures and Integrated Systems , v.10595 , 2018 , p.105951C https://doi.org/10.1117/12.2300997

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

- An analytical framework was developed and analyzed for flexoelectric and flexoelectric-piezoelectric energy harvesting from bending vibrations, by accounting for the presence of a finite electrical load across the surface electrodes as well as two-way coupling, yielding closed-form frequency response equations of the fully coupled system.

- Beyond energy harvesting, the framework was also modified to implement for resonant actuation, and the relevant electromechanical frequency response functions have been identified (vibration and electromechanical admittance). 

- The flexoelectric energy conversion (coupling coefficient) and harvesting become significant only for nm thickness levels (<100nm, especially <10nm) for typical flexoelectric coefficients obtained from atomistic simulations of STO. 

- Based on coupling coefficient (k) arguments, it was suggested that flexoelectric constants reported for experiments on certain mm-thick samples (by Ma and Cross) are unlikely to be bulk flexoelectricity and are not valid at other scales.

- In the case of a piezoelectric material (e.g. BTO), flexoelectricity enhances the overall electromechanical coupling again for thickness levels below 100nm such that the bulk piezoelectric constant of k ~ 0.0652 at the mm-scale increases to k ~ 0.365 at nm thickness level.

- An approximate analytical modeling framework (using Hamilton's principle and Lagrange's equations via assumed-modes method) for flexoelectric and combined flexoelectric-piezoelectric effects was developed for varying cross-section thin beams under bending vibration.

- It was shown that the cross-section variation/geometry can be used to tailor the strain gradient distribution to increase electromechanical coupling; tapered beam geometry results in a coupling coefficient 10-20% more than that of the uniform case.

- An approximate analytical modeling framework for geometrically nonlinear beam accounting for flexoelectric effects was developed and the jump phenomenon was captured.

- The analytical framework for flexoelectric and flexoelectric-piezoelectric beams for energy harvesting and actuation was extend to 2D configurations (Kirchhoff plates) and coupling was increased for a simply supported plate to k ~ 0.34 in nm thickness.

- An approximate analytical modeling framework for axial flexoelectric effect (accounting for Poisson effect) via Rayleigh and Bishop theories was developed for truncated cones under longitudinal vibrations and size dependent electromechanical coupling was observed.

- It was shown that the flexoelectric coupling in the cone can be enhanced with changing the cone angle such that it increases from k ~ 0.00397 to k ~ 0.0351 as the cone angle is changed from 1.8 degrees to 10 degrees.


Last Modified: 08/29/2019
Modified by: Alper Erturk

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