Transient response of a piezoelectric ceramic strip with an eccentric crack under electromechanical impacts |
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Institution: | 1. Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;2. Department of Computational Mathematics and Mathematical Cybernetics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;3. Université Clermont Auvergne, Clermont Auvergne INP, SIGMA Clermont, CNRS, Institut Pascal, F-63000 Clermont-Ferrand, France |
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Abstract: | The transient response of a piezoelectric strip with an eccentric crack normal to the strip boundaries under applied electromechanical impacts is considered. By using the Laplace transform, the mixed initial-boundary-value problem is reduced to triple series equations, then to a singular integral equation of the first kind by introducing an auxiliary function. The Lobatto–Chebyshev collocation technique is adopted to solve numerically the resulting singular integral equation. Dynamic field intensity factors and energy release rate are obtained for both a permeable crack and an impermeable crack. The effects of the crack position and the material properties on the dynamic stress intensity factor are examined and numerical results are presented graphically. |
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