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Acta Mechanica Solida Sinica

, Volume 20, Issue 3, pp 247–257 | Cite as

Analysis of crack-tip singularities for an interfacial permeable crack in metal/piezoelectric bimaterials

  • Qun Li
  • Yiheng Chen
Article

Abstract

By modeling metal as a special piezoelectric material with extremely small piezoelectricity and extremely large permittivity, we have obtained the analytical solutions for an interfacial permeable crack in metal/piezoelectric bimaterials by means of the generalized Stroh formalism. The analysis shows that the stress fields near a permeable interfacial crack tip are usually with three types of singularities: r−1/2±iε and r−1/2. Further numerical calculation on the oscillatory index ε are given for 28 types of metal/piezoelectric bimaterials combined by seven commercial piezoelectric materials: PZT-4, BaTiO3, PZT-5H, PZT-6B, PZT-7A, P-7 and PZT-PIC 151 and four metals: copper, silver, lead and aluminum, respectively. The explicit expressions of the crack tip energy release rate (ERR) and the crack tip generalized stress intensity factors (GSIF) are obtained. It is found that both the ERR and GSIF are independent of the electric displacement loading, although they seriously depends on the mechanical loadings.

Key words

interfacial permeable crack metal/piezoelectric bimaterials energy release rate intensity factor 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  1. 1.School of AerospaceXi’an Jiao-Tong UniversityXi’anChina

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