Journal
ARCHIVE OF APPLIED MECHANICS
Volume 90, Issue 5, Pages 1039-1058Publisher
SPRINGER
DOI: 10.1007/s00419-020-01657-8
Keywords
Piezoelectric quasicrystal; Spheroidal inclusion; Axisymmetric loading; In-plane shear; Out-of-plane shear; Potential function
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In this study, we investigate the induction field and the phonon and phason stress fields of a spheroidal inclusion embedded within an infinite matrix of a one-dimensional (1D) hexagonal piezoelectric quasicrystal subjected to the following three prescribed uniform traction boundary conditions: axisymmetric loading, out-of-plane and in-plane shear. The explicit expressions are derived in the surrounding matrix and the inclusions by setting the correct potential function. The reduced results show that the stresses exhibit a singularity on the crack faces. The obtained results can also serve as a reference for exploring other 1D piezoelectric quasicrystals reinforced by spheroidal inclusions.
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