Three-dimensional analyses of stress singularities at the vertex of a piezoelectric wedge

Chiung-Shiann Huang*, C. N. Hu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The electroelastic singularities at the vertex of a rectilinearly polarized piezoelectric wedge are investigated using three-dimensional piezoelasticity theory. An eigenfunction expansion approach is combined with a power series solution technique to find the asymptotic solutions at the vertex of the wedge by directly solving the three-dimensional equilibrium and Maxwell's equations in terms of the displacement components and electric potential. This study is the first to address the problems in which the polarization direction of the piezoelectric material is not necessarily either parallel to the normal of the mid-plane of wedge or in the mid-plane. The correctness of the proposed solution is verified by convergence studies and comparison with the published results that are based on generalized plan strain assumption. The solution is further employed to study comprehensively the effect of the direction of polarization on the electroelastic singularities of wedges that contain a single material (PZT-5H), bounded piezo/isotropic elastic materials (PZT-5H/Si), or piezo/piezo materials (PZT-5H/PZT-4).

Original languageEnglish
Pages (from-to)4517-4537
Number of pages21
JournalApplied Mathematical Modelling
Issue number6
StatePublished - 15 Mar 2013


  • Asymptotic solution
  • Electroelastic singularities
  • Piezoelectric wedge
  • Three-dimensional analysis


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