Journal ArticleDOI
Fracture parameters of a penny-shaped crack at the interface of a piezoelectric bi-material system
W. Y. Tian,R. K. N. D. Rajapakse +1 more
TLDR
In this paper, a crack at the interface of a piezoelectric bi-material system is considered and analytical general solutions based on Hankel integral transforms are used to formulate the mixed-boundary value problem corresponding to an interfacial crack.Abstract:
A penny-shaped crack at the interface of a piezoelectric bi-material system is considered. Analytical general solutions based on Hankel integral transforms are used to formulate the mixed-boundary value problem corresponding to an interfacial crack and the problem is reduced to a system of singular integral equations. The integral equations are further reduced to two systems of algebraic equations with the aid of Jacobi polynomials and Chebyshev polynomials. Thereafter, the exact expressions for the stress intensity factors and the electric displacement intensity factor at the tip of a crack are obtained. Selected numerical results are presented for various bi-material systems to portray the significant features of crack tip fracture parameters and their dependence on material properties, poling orientation and electric loading.read more
Citations
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Journal ArticleDOI
On contact zone models for an electrically impermeable interface crack in a piezoelectric bimaterial
TL;DR: In this paper, an electrically impermeable interface crack between two semi-infinite piezoelectric planes under remote mechanical tension-shear and electrical loading is studied and the expressions for the elastic displacement and potential jumps as well as for the stresses and electrical displacement along the interface via a sectionally holomorphic vector function are found.
Journal ArticleDOI
Numerical solution of polarization saturation/dielectric breakdown model in 2D finite piezoelectric media
TL;DR: Gao et al. as discussed by the authors presented a nonlinear hybrid extended displacement discontinuity-fundamental solution method (NLHEDD-FSM) for numerical analysis of both the PS and DB models of two-dimensional (2D) finite piezoelectric media under impermeable and semi-permeable electric boundary conditions.
Journal ArticleDOI
Interface cracks in piezoelectric materials
TL;DR: In this paper, the authors provide a comprehensive survey of recent works on cracks situated at the interface of two materials, at least one of which has piezoelectric or picolectromagnetic properties.
Journal ArticleDOI
Multiple cracks on the interface between a piezoelectric layer and an orthotropic substrate
TL;DR: In this article, the authors investigated the problem of multiple cracks on the interface between a piezoelectric layer and an orthotropic substrate and used the method of dislocation simulation and singular integral equation to solve the crack problem.
Journal ArticleDOI
A polling direction influence on fracture parameters of a limited permeable interface crack in a piezoelectric bi-material
TL;DR: In this paper, an arbitrary polling direction of the upper material is considered for a plane-strain problem of a crack between two different piezoelectric materials subject to a tensile mechanical stress and an electrical displacement that are applied at infinity.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
Fracture mechanics for piezoelectric ceramics
TL;DR: In this paper, the authors study cracks either in piezoelectrics, or on interfaces between the materials such as metal electrodes or polymer matrices, and derive the macroscopic field regarding the crack tip as a physically structureless point.
Book ChapterDOI
Numerical solution of singular integral equations
TL;DR: In this paper, the numerical methods for the solution of two groups of singular integral equations are described, which arise from the formulation of the mixed boundary value problems in applied physics and engineering.
Journal ArticleDOI
The Interface Crack
TL;DR: In this article, the authors consider the case where the crack is not completely open and its faces are in frictionless contact near the tips, leading to a pair of coupled singular integral equations that exhibit some unusual features and indicate that the spreading of the interface crack in a tension field is intimately connected with failure in shear.
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