Constructive and Destructive Interplay Between Piezoelectricity and Flexoelectricity in Flexural Sensors and Actuators

Flexoelectricity is an electromechanical effect coupling polarization to strain gradients. It fundamentally differs from piezoelectricity because of its size-dependence and symmetry. Flexoelectricity is generally perceived as a small effect noticeable only at the nanoscale. Since ferroelectric ceramics have a particularly high flexoelectric coefficient, however, it may play a significant role as piezoelectric transducers shrink to the submicrometer scale. We examine this issue with a continuum model self-consistently treating piezo- and flexoelectricity. We show that in piezoelectric device configurations that induce strain gradients and at small but technologically relevant scales, the electromechanical coupling may be dominated by flexoelectricity. More importantly, depending on the device design flexoelectricity may enhance or reduce the effective piezoelectric effect. Focusing on bimorph configurations, we show that configurations that are equivalent at large scales exhibit dramatically different behavior for thicknesses below 100 nm for typical piezoelectric materials. Our results suggest flexoelectric-aware designs for small-scale piezoelectric bimorph transducers.

[1]  Michael C. McAlpine,et al.  Enhanced piezoelectricity and stretchability in energy harvesting devices fabricated from buckled PZT ribbons. , 2011, Nano letters.

[2]  P. Sharma,et al.  Erratum: Piezoelectric thin-film super-lattices without using piezoelectric materials [J. Appl. Phys. 108, 024304 (2010)] , 2012 .

[3]  J. G. Smits,et al.  Dynamic admittance matrix of piezoelectric cantilever bimorphs , 1994 .

[4]  Tahir Cagin,et al.  Dramatic enhancement in energy harvesting for a narrow range of dimensions in piezoelectric nanostructures , 2008 .

[5]  Amir Abdollahi Hosnijeh,et al.  Revisiting pyramid compression to quantify flexoelectricity: a three-dimensional simulation study , 2015 .

[6]  M. Stengel Microscopic response to inhomogeneous deformations in curvilinear coordinates , 2013, Nature Communications.

[7]  P. Ajayan,et al.  Anomalous piezoelectricity in two-dimensional graphene nitride nanosheets , 2014, Nature Communications.

[8]  Xiaoning Jiang,et al.  A trapezoidal flexoelectric accelerometer , 2014 .

[9]  M. Roukes,et al.  50 nm thick AlN film-based piezoelectric cantilevers for gravimetric detection , 2011 .

[10]  Neha Sharma,et al.  On the possibility of piezoelectric nanocomposites without using piezoelectric materials , 2007 .

[11]  P. Sharma,et al.  Piezoelectric thin-film superlattices without using piezoelectric materials , 2010 .

[12]  Pradeep Sharma,et al.  Electrets in soft materials: nonlinearity, size effects, and giant electromechanical coupling. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  P. Sharma,et al.  Flexoelectricity in soft materials and biological membranes , 2014 .

[14]  F. Yuan,et al.  Flexoelectric sensing using a multilayered barium strontium titanate structure , 2013 .

[15]  Wenwu Cao,et al.  Characterization of piezoelectric materials using ultrasonic and resonant techniques , 1998, Medical Imaging.

[16]  P. Purohit,et al.  Insights Into Flexoelectric Solids From Strain-Gradient Elasticity , 2014 .

[17]  A. Tagantsev,et al.  Fundamentals of flexoelectricity in solids , 2013, Nanotechnology.

[18]  Magdalena Ortiz,et al.  Local maximum‐entropy approximation schemes: a seamless bridge between finite elements and meshfree methods , 2006 .

[19]  Christopher R. Bowen,et al.  Multilayer actuators: review , 2001 .

[20]  A. S. Yurkov,et al.  Flexoelectric effect in finite samples , 2011, 1110.0380.

[21]  D. Inman,et al.  A Review of Power Harvesting from Vibration using Piezoelectric Materials , 2004 .

[22]  Irene Arias,et al.  Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions , 2012 .

[23]  Jan G. Smits,et al.  The constituent equations of piezoelectric bimorphs , 1991 .

[24]  Pavlo Zubko,et al.  Flexoelectric Effect in Solids , 2013 .

[25]  R. Mahameed,et al.  Piezoelectric aluminum nitride nanoelectromechanical actuators , 2009 .

[26]  Pradeep Sharma,et al.  Piezoelectricity above the Curie temperature? Combining flexoelectricity and functional grading to enable high-temperature electromechanical coupling , 2014 .

[27]  Irene Arias,et al.  Computational evaluation of the flexoelectric effect in dielectric solids , 2014, Journal of Applied Physics.

[28]  Youn Jung Park,et al.  Printable Ferroelectric PVDF/PMMA Blend Films with Ultralow Roughness for Low Voltage Non‐Volatile Polymer Memory , 2009 .

[29]  A. Erturk,et al.  Nanoscale flexoelectric energy harvesting , 2014 .

[30]  Gustau Catalan,et al.  The effect of flexoelectricity on the dielectric properties of inhomogeneously strained ferroelectric thin films , 2004 .

[31]  Michael C. McAlpine,et al.  Nanoscale Flexoelectricity , 2013, Advanced materials.