Recent developments in flexoelectricity, especially in nanostructures, have lead to several interesting notions such as piezoelectric materials without using piezoelectric materials and enhanced energy harvesting at the nanoscale, among others. In the biological context also, membrane flexoelectricity has been hypothesized to play an important role, e.g., biological mechanotransduction and hearing mechanisms, among others. In this paper, we consider a heterogeneous flexoelectric membrane and derive the homogenized or renormalized flexoelectric, dielectric, and elastic response, therefore, relating the corresponding effective electromechanical properties to its microstructural details. Our work allows design of a microstructure to tailor flexoelectric response, and an illustrative example is given for biological membranes.
A Theory of Flexoelectric Membranes and Effective Properties of Heterogeneous Membranes
Department of Mechanical
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 5, 2013; final manuscript received February 14, 2013; published online August 22, 2013. Editor: Yonggang Huang.
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Mohammadi, P., Liu, L. P., and Sharma, P. (August 22, 2013). "A Theory of Flexoelectric Membranes and Effective Properties of Heterogeneous Membranes." ASME. J. Appl. Mech. January 2014; 81(1): 011007. https://doi.org/10.1115/1.4023978
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