Stress and Electric Fields in a Rectangular Piezoelectric Body with a Center Crack under Anti-Plane Shear Loading

Abstract:

The problem involving a center crack in a rectangular piezoelectric body under anti-plane mechanical shear loading and plane electrical loading is analyzed for the permeable crack face conditions. The so-called general solutions of stress and electric fields are obtained, which is satisfied both the governing equations of anti-plane problems and the boundary conditions of the crack face. It is shown that electric field is nonsingular near right crack tip, while strain, stress and electric displacement have crack-tip singular behavior, the energy release rate has the same form as that without the electromechanical interaction, which is always positive. At last, the boundary collocation method is used to calculate the energy release rate. Numerical values are obtained to show the influence of the material properties and the electric field. The results show that the method of half analytical and half numeral is simple, accurate and widely applicable.

• Periodical: Key Engineering Materials (Volumes 261-263)
• Pages: 99-104
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.261-263.99
• Online since: April 2004
• Authors: Shu Hong Liu, Z.Z. Zou, B.Q. Xu, Han Yun Li
• Keywords: Anti-Plane Problem, Boundary Collocation Method, Centre Crack, Energy Release Rate, Intensity Factor, Piezoelectric Material

References

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[10] When all the electrical quantities are made to vanish, the piezoelectric solution reduces to the purely elastic mode ċ solution in which c44 becomes the shear modulus �.