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| ANALYSIS OF THE ELECTRIC YIELDING ZONE OF THE ANTI-PLANE MODE III CRACK PROBLEM IN PIEZOELECTRIC MATERIALS |
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Abstract The yielding zone of the anti-plane mode III crack problem in piezoelectric materials is analyzed in this paper. Based on the strip model, the expression of the electric yielding zone is derived. The boundary conditions along the yielding segments have two types: one is the mechanical displacement continuity condition and the other one is that the stress is assumed to be constant in the electric yielding zone. The latter eliminates the singularity of the electric field and the stress at the crack tip, which is coincident with the reality. The two different conditions have the same results. The energy release rates of the two types are also derived in this paper. The electric yielding zone is also obtained based on the electric displacement relaxation model which is similar to the stress relaxation model by Irwin. Comparing the results of the two different models, the yielding zone size obtained by the strip model is approximately equal to the result of the electric displacement relaxation model. Therefore, under the condition of the small deformation, the results are effective.
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Received: 17 October 2011
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. THE NUMERICAL ANALYSIS OF CRACK SHIELDING EFFECT INFLUENCED BY THE HYSTERESIS OF TRANSFORMATION[J]. , 2015, 36(1): 20-27. |
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. Analysis of the electric yielding zone of the anti-plane mode Ⅲ crack in piezoelectric materials of one-dimensional hexagonal quasicrystals[J]. , 2015, 36(1): 63-68. |
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. Analytic solutions of two collinear fast propagating cracks of a stip in one-dimensional hexagonal piezoelectric quasicrystals[J]. , 2014, 35(2): 135-141. |
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. Compressive behavior of 2.5D self-healing C/SiC composite[J]. , 2014, 35(1): 77-84. |
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. The scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials[J]. , 2014, 35(1): 15-20. |
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. The effects of the internal pressure on the evolution of microcracks by multi-physical fields induced surface diffusion[J]. , 2013, 34(6): 602-606. |
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2012, Vol. 33 
