Saint-Venant end effects in piezoceramic materials

Xiaoping Ruan, Stephen C. Danforth, Ahmad Safari, Tsu Wei Chou

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


The stress decay rate and characteristic decay length for anisotropic materials and fiber composites have been intensively investigated. However, those for piezoelectric materials have not been studied. In this paper, we examine the Saint-Venant end effects of piezoceramic materials by considering the problem of a semi-infinite piezoceramic strip polarized in the thickness direction and with applied voltages on the upper and lower surfaces. It is assumed that the gradient of electric potential in the axial direction is much smaller than that in the thickness direction. Thus, the governing equations in terms of the Airy stress function and electric potential function can be uncoupled. The governing equation in terms of the Airy stress function involves only two non-dimensional parameters after non-dimensionalization. Finally, the stress decay rates and characteristic decay lengths for a variety of piezoceramic materials are computed numerically, and their variation with the two non-dimensional parameters is presented.

Original languageEnglish (US)
Pages (from-to)2625-2637
Number of pages13
JournalInternational Journal of Solids and Structures
Issue number19
StatePublished - May 2000

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


  • Piezoceramic
  • Piezoelectricity
  • Saint-Venant principle
  • Stress decay rate

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