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Zhang Q.,Zhengzhou University | Zhao M.,Zhengzhou University | Zhao M.,Henan Key Engineering Laboratory for Anti fatigue Manufacturing Technology | Pan E.,University of Akron | And 2 more authors.
International Journal of Fracture | Year: 2015

In this paper, we derive the exact closed-form fundamental solutions due to uniform extended displacement discontinuities over a triangular element in a piezoelectric half-space. Using the triangular elements to partition the penny-shaped crack, the triangular element fundamental solutions are verified by comparing with the existing analytical solution associated with the penny-shaped crack. The polarization saturation model is then applied to an elliptical crack in the piezoelectric half-space, and the resulting nonlinear fracture problem is solved by combing the triangular element fundamental solutions and the displacement discontinuity method. The electric yielding zone and the extended field intensity factors are obtained by an iterative approach. The effects of the applied mechanical load and electric displacement, the polarization saturation in the yielding zone, and the aspect ratio of the elliptical crack on the yielding zone size and field intensity factors are discussed through numerical examples. © 2015 Springer Science+Business Media Dordrecht


Fan C.,Zhengzhou University | Fan C.,Henan Key Engineering Laboratory for Anti fatigue Manufacturing Technology | Yan Y.,Zhengzhou University | Xu G.,Zhengzhou University | And 3 more authors.
Engineering Fracture Mechanics | Year: 2016

Based on the special coupling properties of the governing equation, constitutive equation, and boundary conditions, the piezoelectric-conductor iterative method is proposed for structural analysis of piezoelectric semiconductors with combined mechanical loading, electric strength field (or electric displacement), and electric current (or electric carrier density). In this approach, the analysis methods for piezoelectric media and conductors, which have been studied intensively and extensively, are used iteratively. In this paper, the piezoelectric-conductor iterative method is first presented and implemented via the finite element method to analyze a cracked piezoelectric semiconductor plate. The extended intensity factors, including the stress intensity factor, the electric displacement intensity factor, and the electric current factor at the crack tip, are calculated. The effects of the applied loadings and geometric sizes on the fracture behaviors of piezoelectric semiconductors are studied. © 2016 Elsevier Ltd


Zhao M.,Zhengzhou University | Zhao M.,Henan Key Engineering Laboratory for Anti fatigue Manufacturing Technology | Guo Z.,Zhengzhou University | Fan C.,Zhengzhou University | Fan C.,Henan Key Engineering Laboratory for Anti fatigue Manufacturing Technology
International Journal of Fracture | Year: 2013

Green functions corresponding to uniformly distributed extended displacement discontinuities on an annular crack element in the isotropic plane of a three-dimensional transversely isotropic magnetoelectroelastic medium are derived. Using the obtained Green functions, an extended displacement discontinuity method is presented to analyze a penny-shaped crack under axisymmetric loadings. Using the electric and magnetic polarization saturation model and the electric and magnetic breakdown model, the electric and magnetic yielding zones, the extended displacement discontinuities, the extended stress intensity factors and the J-integral are numerically calculated. The accuracy and efficiency of the proposed method are demonstrated by comparing the numerical results with those obtained from analytical solutions. © 2013 Springer Science+Business Media Dordrecht.

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