Abstract
In this paper we study the effect of electric fields on fracture of functionally graded piezoelectric materials (FGPMs) via a perturbation-based complex variable method. To illustrate the new mathematical algorithm for the fracture analysis of FGPMs, we start with an anti-plane deformation of a cracked piezoelectric body with exponentially varying elastic properties in the direction parallel to the crack plane. First, we establish a perturbation-based complex variable method, which allows us to extend the available solutions for a homogeneous body to those for a nonhomogeneous body. Using the newly established method, we derive explicit expressions of field intensity factors for an impermeable crack and a permeable crack, respectively. Finally, we discuss the effect of electric fields on the fracture of FGPMs by applying the field intensity factors as a failure criterion. It is shown that the effect of electric fields on crack propagation in the FGPMs is qualitatively the same as that in a homogeneous piezoelectric material, i.e., the gradual variation of material does not change the propagation tendencies of cracks under an electric field.
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Noda, N., Gao, CF. (2006). Effect of Electric Fields on Fracture of Functionally Graded Piezoelectric Materials. In: Yang, W. (eds) IUTAM Symposium on Mechanics and Reliability of Actuating Materials. Solid Mechanics and Its Applications, vol 127. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4131-4_9
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DOI: https://doi.org/10.1007/1-4020-4131-4_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4130-3
Online ISBN: 978-1-4020-4131-0
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