Green's function for an electrically permeable crack in thermopiezoelectric materials

Ai Bing Zhang, Bao Lin Wang

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

Abstract

The generalized 2D problem of thermopiezoelectric materials containing an electrically permeable crack under thermal-mechanical loading is studied in this paper. Based on the Stroh formalism and Green's function method, the problem is reduced to a set of singular integral equations which are solved in closed-form. When the crack is assumed to be traction free, the crack opening displacement must be negative between one half of the crack faces unless a sufficiently large tensile stress is superposed. Then, Green's function of the stress and electric displacement intensity factors at each crack tip are obtained. These results can be directly applied to the fracture analysis of piezoelectric materials in engineering applications if the crack interior is filled with conductive media.

Original languageEnglish
Title of host publicationProceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012
Pages97-100
Number of pages4
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012 - Shanghai, China
Duration: 23 Nov 201225 Nov 2012

Publication series

NameProceedings of the 2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012

Conference

Conference2012 Symposium on Piezoelectricity, Acoustic Waves and Device Applications, SPAWDA 2012
Country/TerritoryChina
CityShanghai
Period23/11/1225/11/12

Keywords

  • Green's function
  • Intensity factor
  • Piezoelectric fracture
  • Thermal stress

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