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The complete solution of a crack propagation problem includes determination of the crack path.
In our previous work [Gao, C.F., Mai, Y.W., Zhang, N., 2010. Solution of a crack in an electrostrictive solid.
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The interaction problem is reduced to the solution of a longitudinal crack in a plate strip with zero normal displacement of longitudinal edges.
It is shown that for an impermeable crack, the total stresses still have an inverse square-root singularity but their intensity factor is different from that obtained by the solution of a permeable crack.
The theoretical formulation is obtained using the dilute model of distributed cracks and the solution of a single dielectric crack problem.
This method is simple in its application and has successfully been used for the solution of a host of crack problems of engineering importance.
This paper studies a numerical solution of multiple crack problem in a finite plate using coupled integral equations.
The solution of the crack problem is represented by a superposition of weighted unit normal displacement jump solutions, everyone of which forms a Green's function.
In Eq. (7), F is a set of functions which are obtained from analytical solution of displacement around a crack tip.
The accuracy of the XGP, short for this extended GP method, is confirmed by comparisons of simulation results with classic analytical solutions of an edge-crack and a central cylindrical hole in a two dimensional plate.
An exact solution of the dynamic stress intensity factors is obtained from a linear superposition of the solution of Lamb's problem and a solution of a dislocation emitting from the crack tip.
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