0

Full Content is available to subscribers

Subscribe/Learn More  >

A New Modeling Framework for Piezoresponse Force Microscopy

[+] Author Affiliations
Amin Salehi-Khojin, Nader Jalili

Clemson University, Clemson, SC

Paper No. IMECE2007-42504, pp. 187-192; 6 pages
doi:10.1115/IMECE2007-42504
From:
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 10: Mechanics of Solids and Structures, Parts A and B
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4304-1 | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME

abstract

Piezoresponse force microscopy (PFM) has evolved into useful tool for measurement of local functionality of ferroelectric materials which shows great potential for applications such as data storage, ferroelectric lithography and nonvolatile memories. Better understanding of current techniques which are applied in the scale of single grain requires a straightforward analytical theory to map the PFM response for a wide range of typical experimental parameters. To this end, a new modeling framework is presented for a PFM which is modeled as a suspended cantilever beam with a tip mass. More specifically, the beam is considered to vibrate in all three directions, while subjected to a bias input voltage. The Hamilton’s principle is used to derive the governing equations. The local electrostatic forces on the tip and distributed forces acting on the cantilever are also taken into account in the current modeling framework. Since the sample and tip are in the contact mode and any changes in the topography of surface will affect the indentation depth of indenter, the boundary control input force is used at the base unit. Moreover, the free end of beam with the equivalent mass of tip is connected to springs in the vertical, longitudinal and lateral directions to represent the resistance of piezoelectric material to tip movement. It is shown that the vertical bending is coupled to longitudinal displacement and lateral bending is coupled to torsion through the friction between tip and sample.

Copyright © 2007 by ASME
Topics: Force , Modeling , Microscopy

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In