Dynamic behavior of two unequal parallel permeable interface cracks in a piezoelectric layer bonded to two half piezoelectric materials planes

孙建亮,; 周振功,; 王彪,

doi:10.1007/bf02438237

Cited by 1 publication

(3 citation statements)

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“…From the works [13][14][15][16]20] , it can be seen that the Schmidt method is performed satisfactorily if the first ten terms of the infinite series (35) (i) The present problem is quite different from the one in Ref. [14].…”

Section: Numerical Calculations and Discussionmentioning

confidence: 96%

“…However, only the symmetric problems were considered in Refs. [13][14][15][16]. To our knowledge, the electro-elastic behavior of two parallel non-symmetric permeable cracks subjected to the anti-plane shear loading in piezoelectric materials has not been studied by using the Schmidt method [17] .…”

Section: Introductionmentioning

confidence: 99%

“…The problems of two parallel cracks or four parallel cracks in the piezoelectric materials had been studied in Refs. [13][14][15][16]. However, only the symmetric problems were considered in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Basic solution of two parallel non-symmetric permeable cracks in piezoelectric materials

周振功

王彪

2007

Appl Math Mech

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The behavior of two parallel non-symmetric cracks in piezoelectric materials subjected to the anti-plane shear loading was studied by the Schmidt method for the permeable crack electric boundary conditions. Through the Fourier transform, the present problem can be solved with two pairs of dual integral equations in which the unknown variables are the jumps of displacements across crack surfaces. To solve the dual integral equations, the jumps of displacements across crack surfaces were directly expanded in a series of Jacobi polynomials. Finally, the relations between electric displacement intensity factors and stress intensity factors at crack tips can be obtained. Numerical examples are provided to show the effect of the distance between two cracks upon stress and electric displacement intensity factors at crack tips. Contrary to the impermeable crack surface condition solution, it is found that electric displacement intensity factors for the permeable crack surface conditions are much smaller than those for the impermeable crack surface conditions. At the same time, it can be found that the crack shielding effect is also present in the piezoelectric materials.

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